Model of Unification, Equality and Equivalence between Cosmic Levels, Macro and Microcosmos
Author : Fernando Mancebo Rodriguez
Year of development : Since 1990
Field : Classical Physics - Cosmology - Structure of Matter

3.- Genesis of π according to this model.
Let's consider a hypothetical beginning of cosmic creation, when universal motion merged with space to begin structuring the Cosmos, and where nothing yet exists apart from the simple union of space with universal motion.
At that moment, even mathematics wouldn't exist, as there were no simple elements to which to apply numbers, quantities, and adjustments.
However, immediately following this hypothetical beginning, the energy born from the union of space and universal motion, being distributed in three-dimensional space, would immediately begin to form accumulations of energy and matter through the action of the concentric fields of this cosmic energy, in this case, in its form of gravity.
And as points and accumulations of matter in spherical form were created throughout cosmic space, the units of matter, and their spherical shape, would be born, and all of this would give rise to the birth of geometric structures, or spheres, where the number π or the transformation ratio of length or straight line into perfectly closed curves or circles through this nascent value of π would develop.
But of course, here and at that beginning there would only be two basic numbers for spherical structuring: the number π to form the circumference and the number 2 as the diameter and relationship between π and the circumference.
And this geometric relationship is one of total interrelation, composition, and dependence of one another (π as a function of 2), which tells us that there must be a direct function of 2 that gives us the number π, and vice versa.
Of course, in those early days there were no systems of series and fractals with which to obtain π, but only the number 2 and direct functions of it, which this model develops separately, as a study of the genesis of the number π, since it is somewhat different from the current value given by series and fractals.
π is therefore a direct function of the number 2, whose simplest function is:

Figures 1, 2:
- Obtaining Pi by direct formulas of Pythagorean compositions.
- And the fractal principle (fp), because it would demonstrate that the current Pi is incorrect due to being obtained through fractal series.
fp: "The sum of sides of a polygon is slightly greater than its perimeter, because in said sum, we add each vertices of the figure in two time"

3. Fundamental Constants and Relations

3.1. Longitudinal Dimension Unification Coefficient
Cu = 2 π x 10²²
Expressed in angstroms, this coefficient defines the scale relationship between the linear dimensions of atomic and cosmic systems.
It acts as a geometric bridge that allows the proportional translation of structural magnitudes from one level to another.

3.2. General Formula for Atomic Dimensions

3.3. Orbital or Satellite Radius Formula

Rn = Ra / (π)^N-n
where:
- Rn is the radius of the orbital or satellite being considered,
- Ra is the atomic radius,
- N is the number of the outermost orbital of the atomic system (or atomic radius).
This relation defines the proportional decrease of orbital radii in successive levels, establishing a harmonic structure within atomic or planetary systems.

3.4. Mathematical Units of Atomic Radius and Atomic Mass.

This model, observing a very good approximation between atomic measurements and simple mathematical parameters, such as the cube root of 2, (π². R³ = 2^1/3) ) proposes mathematical units for these simple parameters: the mathematical atomic mass unit (u.m.m.a.) and the mathematical atomic radius unit (u.m.r.a.).
These units are fundamental for hydrogen and essential for adjusting the values of other atoms:
(For atomic weight, Pa = 1) ---> u.m.m.a. x 1 = 4/3 π. R³ x π . 1^1/2 = 4/3. π². R³ = 4/3. 2^1/3
Mathematical unit of atomic mass = u.m.m.a = 4/3 . 2^1/3 = 1.67989.. x 10^-24 g (total mass of hydrogen)
Mathematical unit of atomic radius = u.m.r.a. = (2^1/3 / π² )^1/3 = 0.503517 .... Angstroms

3.5 The Cosmic Spiral and the Polarity of Fields

1. Genesis of Matter and Orbital Systems

The genesis or cosmic essence underlying this model is based on the flow of cosmic energy through, and filling, all cosmic space.
Due to the action and three-dimensional structuring of space, this energy flux can act concentrically or in a gravitational mode, leading to the condensation of energy into material particles, orbital systems, atoms, stars, galaxies, and so forth, across multiple cosmological scales, thereby forming both the micro- and the macrocosms.
However, the condensation of cosmic energy into matter and orbital systems causes this energy to bifurcate into two antagonistic yet complementary types of forces and fields: Gravity, which coheres and forms matter, and Magnetic Forces, of expansive character, which tend to redistribute energy throughout cosmic space in order to re-establish equilibrium in pressure and the appropriate average energy distribution within the Cosmos.
Under these circumstances, the combined action of both gravito-magnetic fields requires a rotational dynamics capable of balancing these forces.
Such balance is achieved through the rotation of the material nuclei together with the fields generated around and along the periphery of these central matter nuclei.

2. Rotational Dynamics

Since gravito-magnetic forces and fields act in opposite directions (gravity coheres while magnetic forces expand), they constitute a pair of non-collinear forces that require a shared dynamics satisfying both. This is accomplished by a rotation of the entire orbital system in such a manner -both in dynamics and velocity- that centrifugal and centripetal forces compensate for the two classes of fields.

3. The Cosmic Spiral

The rotation of a large orbital system around a central material nucleus produces distortions in the uniformity that the fields would hypothetically exhibit in a static, non-rotational state. The nuclear center rotates at high speed, whereas the distant periphery experiences only a minimal degree of drag from the nucleus.
Consequently, in the rotation of orbital systems, the central nucleus rotates more rapidly and the distant periphery more slowly, producing a spiral deformation of the entire system, notably along its equatorial plane of rotation.
It is this spiral deformation that the present model designates as the Cosmic Spiral.

. The Cosmic Spiral

The interaction of the two phases of cosmic energy -gravity and magnetic force, antagonistic yet complementary-causes any large accumulation of matter to tend toward rotation, resulting in the deformation of these force fields into a spiral around a north-south polar axis of rotation.
This spiral deformation is what this model calls the Cosmic Spiral, which, also governed by the number π, has an opening or curvature of π/2, configuring stationary orbits around the nucleus with successive radii increasing by that value, for example, Rn2 = n1 x (π/2).

4. Dynamics of the Cosmic Spiral: Orbital Radius Formula

The shape and the Radius of Curvature of cosmic spirals are common across systems. In this model, this curvature radius is taken to have the value of π/2 relative to the preceding radius. As previously outlined, the general formula for atomic radii -also applicable to stars- is:
Rn = Ra / (π/2) ^N-n
Where:
- Rn is the radius of the orbit or satellite under consideration n,
- Ra is the atomic radius,
- N is the number of the outermost orbital of the atomic system (i.e., the atomic radius).
This relation defines the proportional increase of orbital radii in successive levels, establishing a harmonic structure within atomic or planetary systems. In simplified form:
Rn+1 = Rn x (π/2)
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5. North-South Polarity of Gravito-Magnetic Fields

As all orbital systems rotate collectively around a polar N-S axis, a polar direction is established around which the entire orbital system revolves. Consequently, both the gravitational and the magnetic fields of the rotating system also rotate and deform into a spiral, resulting in a vortex-like or "spiral tornado" configuration of the whole system.
Each field (gravitational and magnetic) generates its own cosmic spiral, characterized by its specific Radii of Curvature.
Observationally, gravitational fields appear to be duplicated -likely due to the different directions of motion of their two "faces" with respect to the rotational radius (face A rotates one way, face B the opposite)- and gravitational radii are generally more extensive than magnetic radii.
Since both fields complement each other and act jointly on the orbital periphery, both spirals (gravitational and magnetic) must be combined and unified through appropriate formulas, given that they coexist within the same orbital space. Their relationship is well-established in classical physics and chemistry:
Ng = [2.N² ; 2.N²] = 0,2,8,8,18,18,32,32.
Where:
- Ng is the layer number of the gravitational spiral, with its corresponding magnetic orbits contained within each layer.
The first gravitational layer is absorbed by the atomic or solar nucleus itself, a phenomenon also observed in the gravitational layers of larger orbital systems, where the innermost orbitals or satellites are likewise absorbed by the massive central nuclei.
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6. Field Polarity as the Linking Mechanism between Orbital Systems

The spiral deformation of gravitational and magnetic fields implies that two or more orbital systems can only merge or approach one another through appropriate polar alignment - that is, they must approach with the same N-S rotational orientation so as to connect in the same phase and sense of rotation. Otherwise, their fields would collide and repel until achieving a configuration suitable for mutual approach.
This polarity in the sense of rotation constitutes the fundamental basis for the alignment and interaction of orbital systems, enabling orbital transitions, chemical reactions, and the formation of atomic or stellar molecules.
Thus, field polarity provides the essential rules governing the approach and assembly of more complex orbital systems, such as simple molecules, spherical structures, and macromolecules, as explored in detail elsewhere in this model.

Spherical Molecules

Here we see a synthesis of how the polarity of orbital systems is used to approach in the correct direction and thus form molecules, both at the atomic level and at the stellar level, such as binary stars, triple stars, etc.
A typical example is that formed by the spherical molecule of Benzene, and its corresponding magnetic properties.

III.1 Model for the Unification of Physical Forces

3.1 Gravitational-Strong Force Unification

"Gravity acting on atomic nuclei is what is currently known as the strong force."

One of the fundamental premises of this Unification Model (which also includes the unification of physical forces) is that the flow of cosmic energy, which manifests itself and is distributed throughout cosmic space, when propagating tridimensionally, adopts or acquires two principal directions or modes of action:
One mode in the form of gravitation, or concentric forces of cohesion and compaction; and another in the form of expansion and dispersion, which correspond to magnetic forces.
Logically, and by virtue of being components or phases of the same Cosmic Energy flow, both are equivalent in potential, such that
Fg = Fm,
and this equivalence occurs at any cosmic level that may be considered.
This applies as well to atoms and their nuclei.
Therefore, this Model understands that the current consideration, measurement, or adjustment according to which gravity is minimal within atomic nuclei is erroneous, and is possibly due to a lack of knowledge and application of the cosmic interlevel correlation coefficient,
Cu = 2π x 10²².
For this reason, we present here a method for adjusting gravitational force within atomic nuclei by applying this correlation coefficient Cu.
The gravitational force is given by:
Fg = G [( Mp)² / r²]
where the cosmic correlation coefficient Cu must be applied to the radial distance by dividing the radius r by this coefficient:
r / Cu = r / (2π x 10²²)
and squaring this adjusted distance.
Thus, the gravitational force becomes:

3.2 Types and Classes of Magnetic Forces
The types and classes of magnetic forces are more numerous, since their domain of action is broader, as they dominate the periphery of orbital systems, their electro-positive orbits, atomic extension and volume, and related phenomena.
Accordingly, we present here an overview of the principal classes considered within this model:
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1. Strong and Weak Magnetic Forces

1a. Strong Magnetic Forces

Strong magnetic forces are those with such a high magnetic potential (expansive or dispersive) that they cause giant orbital systems to explode, as these systems cannot withstand the extremely high density and pressure of the energy they contain.
Examples of such strong magnetic forces include the explosions of heavy atoms starting from uranium, as well as the explosions of massive stars, such as supernovae.

1b. Weak Magnetic Forces

Weak magnetic forces are of the same general type -acting to balance the energy contained within orbital systems- but they do not cause complete system-wide explosions. Instead, they act more locally, preferentially on the nuclei of significant orbital systems, emitting large particles in order to achieve a better balance of the contained energy.
This is the mechanism underlying the radiations emitted by atomic nuclei, such as alpha-particle emission, among others.

2. Orbital Electromagnetic Forces

Orbital electromagnetic forces dominate the atomic (and stellar) periphery and construct the positive orbits within orbital systems.
This arises as a consequence of the rotation of orbital systems as a whole, which produces a spiral deformation- primarily along the equatorial plane of rotation -and establishes a north–south (N-S) polarity.
Above all, positive electromagnetic orbits are formed, whose distances correspond to orbital intersections or to the amplitude spacing of the spiral between successive turns or coils.
These orbital electromagnetic forces are of enormous importance, as they determine electric charges (each orbit contains or is measured as an electric charge) and govern orbital exchange relationships, chemical reactions, and other interactions between orbital systems such as atoms.

3. Fine-Adjustment Magnetic Forces, or Thermal Forces
Fine-adjustment magnetic forces, or thermal forces, are entropic magnetic forces that act to equalize, in a more subtle and refined manner, the energy contained within orbital systems, bringing them as close as possible to the cosmic energy density that the universe as a whole contains (Da). Through this force, if an atom possesses an excess of energy, it may emit energetic particles toward a nearby atom that lacks such energy. As can be seen, this type of magnetic force is what is measured as the temperature of bodies, which tend to equilibrate their energy among themselves.
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4.- "Magnetic forces, or forces of expansion and redistribution of energy at equal density throughout the cosmic Universe, act both internally, from the core of orbital systems outwards to build and manage the periphery of systems (atoms, stars, galaxies, etc.); and externally, or jointly, to equalize energy levels among all systems, as for example in atoms, which exchange energetic particles to equalize their temperatures."

III.2 Dynamic Development of the Model and Physical Applications

The principle of harmonic equivalence is not limited to a static correspondence between forms or dimensions. It expresses a resonant dynamic: systems remain in equilibrium through cyclic interaction between opposing forces that compensate each other through proportional rhythms.
In microphysical levels, this dynamic manifests in positive electronic orbits, promoted and sustained by expansive magnetic fields and forces emanating from atomic nuclei, as well as in the stability of quantum energy states established at the atomic periphery.
In astronomical levels, according to the model, the same field structures and orbital distributions occur -each depending on the "nuclear mass" of the central body.
The model proposes that both scales obey a universal harmonic resonance law, where the natural oscillation frequencies are related by multiples or submultiples of the unification coefficient:
Cu = 2 π x 10²²

III.3. Application to Atomic Systems: The Case of Hydrogen and Other Atoms

The hydrogen atom, being the simplest and most fundamental, provides the ideal starting point for exploring this dynamic correspondence.
Using the general atomic radius formula:
Ra = 1/2 . Pa^1/6
we obtain:
- For Hydrogen (H):
RH = 0.5 x 1^1/6 = 0.5 A
- For Helium (He):
RHe = 0.5x4 ^1/6 = 0.63 A
- For Neon (Ne) -considered the possible atomic equivalent of our Sun:
RNe = 0.5 x 20^1/6 = 0.823 A
Applying the equivalence coefficient between levels gives for our solar system:
Cu = 0.823 x 6.28 x 10²² = 5.16 x 10¹² meters
which corresponds approximately to the radius of the Solar System, the region where Pluto orbits.
The differences between this theoretical prediction and astronomical observations are minimal.
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Similarly, the orbital radii of the planets within our solar system fit remarkably well with the model's adjustments, where-according to the formula introduced earlier-they differ successively by a factor of π/2.
Thus, the planetary radii are approximately:

III.4. Dynamic Conclusion

The formulation of the coefficient 2π x 10²² unifies not only spatial scales but also temporal ones.
In this vision, the universe behaves as an oscillatory system of coupled resonances, where each level vibrates coherently with the others, maintaining an immutable proportion defined by π.
Thus, matter, energy, and space are expressions of a single principle:
the universal geometric rhythm, whose visible manifestation is the equivalence between the atomic and the cosmic.

4. Conceptual Foundations of the Model

The Model of Unification, Equality, and Equivalence between Cosmic, Macro and Microcosmic Levels rests upon a series of conceptual foundations that extend the principles of classical physics toward a structural and harmonic vision of the universe.
Within this framework, the forces and elements governing the behavior of matter and energy are viewed as equivalent manifestations of a single universal geometric order, expressed through proportional relationships based on the number π.
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4.1. Principle of Universal Equality

The first postulate of the model establishes that all laws, forces, and structures existing at one level of the cosmos must also exist at all other levels, obeying constant proportions.
This implies that the universe is not hierarchical but isomorphic-each level (atom, solar system, galaxy, cluster, etc.) reproduces the same fundamental structure, differing only in dimensional scale.
This principle leads to the concept of universal self-similarity, where the form, dynamics, and equilibrium of an atom mirror the same patterns found in a stellar or galactic system.

4.2. Cosmic Energy and Dynamic Equilibrium

4.3. Universal Geometry and the Constant π.

4.4. Gravity and Electromagnetism as Complementary Forces

4.5. Formation of Matter and Orbital Organization

According to the model, matter forms through the organization of the energetic field under laws of symmetry and resonance.
This process is described as a harmonic condensation of energy that gives rise to matter particles, nuclei, orbits, and systems in stable equilibrium.
This dynamic is universal:
- At the subatomic level, the Cosmos self-regenerates by condensing energy into matter and particles through gravitational action.
- At the atomic level, energy organizes into orbital electrons.
- At the planetary level, it organizes into masses orbiting a gravitational focus.
- At the galactic level, stars follow analogous orbits within a collective potential.
Hence, the orbital structure is the universal pattern of cosmic equilibrium, and its geometric proportions remain identical at all scales.

4.6. Principle of Scalar Equivalence

Every physical system possesses structural equivalents at all other levels of the cosmos.
Thus, physical magnitudes—mass, density, radius, energy, orbital velocity-are related through scaling constants that preserve form and proportion.
The coefficient:
Cu = 2π x 10²²
represents the longitudinal equivalence ratio, while mass and density relations derive from harmonic proportions based on π and on the square root of the atomic weight.
This principle renders the universe a network of geometric correspondences, where each level constitutes an amplified or reduced image of the same fundamental pattern.

4.7. Conceptual Synthesis

The model can be summarized in three essential postulates:
1. Universal Structural Equivalence:
Everything that exists in the microcosm also exists in the macrocosm, following identical geometric proportions.
2. Dual Harmonic Energy:
Gravity and electromagnetism are complementary expressions of a single, balanced cosmic tension.
3. Structural Constant π:
The number π governs the proportions, densities, and radii that define all material organization.

4bis. General Contributions of the Model

The Model of Unification, Equality, and Equivalence extends the foundations of classical physics toward a harmonic and continuous vision of the universe.
In this framework, physical forces and structures are equivalent manifestations of a primordial energy that fills all of space. Cosmic Energy, also termed Universal Motion, since cosmic energy signifies rectilinear movement and drag in all directions of cosmic space.

4.8. Universal Motion and Cosmic Energy

Cosmic energy constitutes the dynamic foundation of the universe and is identified with the concept of Universal Motion—a form of energy present throughout space, acting in all directions.
This Universal Motion implies that nothing is static: every portion of space is in continuous displacement, rotation, and vibration.
Thus, motion is not a consequence of matter, but rather its cause and constitutive essence.
Cosmic energy arises from the union of Universal Motion with space, a union realized under a constant proportion represented by the speed of light (c).
In this interpretation, the speed of light expresses not only a limiting velocity but the ratio of execution and development with which motion integrates into space to form energy.
From this primordial energy, the various specific observable forms derive:
- Gravity, understood as the concentric manifestation of cosmic energy -its natural tendency toward concentration.
- Magnetism and electromagnetic forces, understood as its expansive manifestations, originating when excessive accumulations of energy or matter occur.
These two forms -concentric and expansive- mutually balance one another, sustaining the dynamic state of the universe.
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4.9. π as Universal Structural Constant

4.10. Gravity and Structural Density

In this model, gravity is not viewed as an external attraction between masses but as a manifestation of the density gradient of the cosmic energy field.
A denser region of the field exerts a convergent tension upon its surroundings, giving rise to the effect we interpret as gravitational attraction.
Therefore, gravitational potential is directly related to local energetic density, and both can be expressed in terms of harmonic proportions involving π:
G:= 1 / πR²
This implies that gravitational intensity decreases according to the curvature ratio of the field, where π defines the spatial distribution of the energy lines.
Under this interpretation, the same principle that defines atomic cohesion also defines cosmic cohesion, differing only in the magnitude of the spatial radii.

4.11. Orbital Systems as Harmonic Structures

The orbital arrangement of any physical system -atomic, planetary, or galactic- arises from the search for harmonic equilibrium between centrifugal and centripetal components of energy.
In this model, such equilibrium follows a law of harmonic resonance, where the orbital radii correspond to integer or fractional multiples of π, establishing discrete and stable configurations.
Rn = n² x R1
(where R1 is the fundamental radius and n a harmonic number)
This law explains why both atoms and planetary systems exhibit quantized orbital distributions, resulting not from probabilistic mechanics but from geometric resonance conditions.
Consequently, the stability of orbits -electronic or celestial- is a geometric and energetic resonance phenomenon governed by π.

4.12. Law of Universal Equilibrium

The Law of Universal Equilibrium expresses the fundamental dynamic of the model:
"Every system, at every level of the cosmos, remains in stable equilibrium when the forces of attraction and expansion are harmonized under the geometric constant π."
This means that energy equilibrium is not static but dynamic, sustained by perpetual motion and vibration of the universal field.
The law can be expressed symbolically as:
Fg = Fm
GMm / R² = kq1q2 / R²
where the gravitational and electromagnetic forces are proportional and equivalent under a constant geometric factor.
The equality of both interactions is maintained through the longitudinal unification coefficient
Cu = 2π x 10²²
which scales their magnitudes between cosmic levels.
Hence, the universe is a continuous harmonic system, where equilibrium is achieved through the resonance of forces and the perpetual balance of movement and structure.

4.13. Synthesis of the Conceptual Foundations

4.14. Final Reflection

The Model of Unification, Equality, and Equivalence between Cosmic, Macro and Microcosmic Levels restores the classical vision of harmony in the universe, integrating physical rigor with geometric and philosophical depth.
It proposes that the laws of motion, proportion, and equilibrium are not merely human abstractions, but manifestations of an intrinsic order of the cosmos, governed by universal constants that repeat eternally across scales.
Thus, the same geometry that defines the atom defines the galaxy, and the same equilibrium that sustains the solar system sustains the structure of matter itself.

5.1. Introduction: The Universe as a Harmonic System

5.2. The Gravitomagnetic Principle

The tow faces of the Cosmic Energy: Gravito-magnetic forces:
All the lines of force of cosmic energy in their gravitational form (a concentration of lines and fields of force at a single point in space), when directed toward that material center, act as concentric gravitational fields that attract other masses to that central gravitational core.
But these lines of force do not end at the central core; instead, they pass through it and expand outward.
And it is these expansive forces that form the expansive magnetic fields and forces extending outward from that core.
These expansive magnetic force fields are what compose and create the stationary positive orbits around the core, which attract, capture, and maintain in rotation the satellites needed to structure the orbital volume necessary to achieve the average energy density required by the Cosmos. (as seen in the drawing).
Well, since the cosmic forces are the same (only with a change of direction and expectations, from concentration to expansion) in each accumulation or material nucleus, their potential will also be relative to each other, and a structural and dynamic equilibrium will always be produced that will maintain all orbital systems in a perfect state of dynamic equilibrium.

5.3. Rotational and Orbital Dynamics

Rotation is the natural consequence of gravitomagnetic equilibrium.
When a system reaches the balance between the centripetal and centrifugal components of energy, motion organizes into circular or elliptical orbits, following harmonic proportions determined by π.
Each orbit represents a state of resonance between the gravitational and magnetic fields, defined by quantized geometric ratios.
The general form of this relation is:
Vn² = GM / Rn
but under the harmonic model, the orbital radii Rn follow the law:
Rn = R1 x n²
and the velocities follow:
Vn = V1 / n
where n is the harmonic index of the orbit.
This establishes a harmonic series of motion, identical in structure from electrons to planets.
Thus, the atom and the solar system share the same orbital architecture, differing only in dimensional scale according to the unification coefficient Cu = 2π x 10²²

5.4. The Principle of Harmonic Resonance

Every stable system in the universe resonates under a specific proportion between its orbital parameters and the fundamental constant π.
This is expressed by the Principle of Harmonic Resonance, which states:
"For every level of the cosmos, stability occurs when the ratio between orbital velocity, radius, and angular momentum equals a harmonic function of π."
Symbolically:
V / R = f(π)
This principle governs both the spectral structure of atoms and the spacing of planetary orbits, giving rise to a universal harmonic order.
In this sense, the music of the spheres, once an ancient philosophical intuition, finds a physical expression in the gravitomagnetic resonance of the universe.

5.5. Dynamic Equilibrium and the Duality of Forces

The universe maintains its stability not through immobility, but through perpetual motion -a motion that compensates and balances the dual forces of attraction and expansion.
This dynamic equilibrium is symbolically expressed as:
E = G + ME
where E is the total cosmic energy, G represents the gravitational component (convergent), and M the magnetic or electromagnetic component (divergent).
Both are inseparable and interdependent, ensuring that every contraction is accompanied by an equal expansion, and every accumulation by a corresponding diffusion.
This duality manifests across all scales:
- In atoms, as nuclear binding vs. electronic repulsion.
- In planets, as orbital gravitation vs. magnetic rotation.
- In galaxies, as central mass attraction vs. spiral expansion.
The Cosmic Dance is therefore the dynamic rhythm of this balance -the perpetual exchange between the two poles of universal energy.

5.6. Universal Motion and Energy Flow

From the standpoint of this model, universal motion is the first and fundamental manifestation of existence.
Everything that exists is in motion, and that motion is the expression of the flow of cosmic energy through space.
This flow, though constant in intensity, is variable in form -manifesting as vibration, rotation, translation, or radiation depending on the local equilibrium of forces.
The speed of light (c) represents the universal modulus of this motion, the limit that defines the maximum relation between space and energy. It is not a barrier but a harmonic constant that connects the dynamics of all levels.
Thus:
E = m c²
acquires a harmonic interpretation, where c² represents the square of the cosmic resonance velocity, uniting mass and energy as two modalities of the same motion.

5.7. The Spiral as a Universal Form

The natural geometry of motion in the universe is not the straight line, nor the circle, but the spiral -a synthesis of both, uniting curvature and expansion.
The spiral expresses the simultaneous action of the two cosmic forces:
- the centripetal component that tends toward the center, and
- the centrifugal component that drives outward.
It is the perfect image of the Cosmic Dance, representing the perpetual transformation of energy between states of concentration and diffusion.
From the atomic spin to galactic rotation, the spiral governs the evolution of all systems, manifesting self-similar harmonic growth following the proportion of π.

5.8. The Cosmic Dance

The Cosmic Dance is the symbolic and physical expression of the dynamic equilibrium of the universe.
It is the eternal oscillation between the poles of attraction and expansion, through which the cosmos sustains its form, its rhythm, and its perpetual regeneration.
Each particle, each star, and each galaxy is a dancer in this infinite choreography of energy and geometry.
Their orbits, vibrations, and fields are the steps of the universal dance, guided by the constant π, which sets the rhythm of existence.
In this sense, the universe is not a mechanical construct but a harmonic being in motion, where physics and geometry converge in a single law of equilibrium and resonance.

5.9. The Law of Gravitomagnetic Equilibrium

The Law of Gravitomagnetic Equilibrium constitutes the central dynamic expression of the model.
It states that the stability of every system -from the atomic to the galactic- depends on the harmonic compensation between gravitational and magnetic components of cosmic energy.
This law can be expressed symbolically as:
Fg=Fm
GM1M2 / R² = kq1q2 / R²
where the gravitational and magnetic (or electrostatic) interactions are equal in magnitude and opposite in polarity, ensuring dynamic equilibrium.
The equality between both forces is not accidental but structural, arising from the identical geometric law that governs them:
both decrease proportionally to 1 / R² and both are modulated by π as a harmonic constant of curvature.
This leads to a unified field interpretation, where gravitation and electromagnetism are two states of the same fundamental energy.

5.10. The Interaction between Fields

According to the model, the universe is filled with a continuous field of motion and energy, within which gravitational and magnetic components constantly interact.
This interaction produces zones of curvature and resonance, where matter and stable systems form.
Every particle, planet, or star is thus a local condensation of the universal field, maintained by the equilibrium between its internal gravitation and external magnetic expansion.
The structure of space is not empty but tensional -a dynamic fabric woven by the mutual interaction of these two components.
In this sense, space itself possesses energy and density, and matter emerges as its organized manifestation.
Therefore, the field is the true substance of the universe, and material bodies are merely localized concentrations of this continuous medium.

5.11. Expansion and Contraction of the Universe

5.12. Matter, Dark Matter, Dark Energy and Cosmic Equilibrium

From the perspective of this model, what modern cosmology identifies as "ark energy" corresponds to the magnetic or expansive aspect of cosmic energy.
It is not a mysterious new form of matter, but the complementary polarity of gravitation—the same universal energy manifesting as expansion.
Thus, "dark energy" is simply the magnetic component of the gravitomagnetic field, responsible for the observed acceleration of cosmic structures.
Similarly, what is interpreted as “dark matter” would correspond to gravitational concentrations of the same field, invisible yet dynamically active.
This dual interpretation unifies both phenomena under the Law of Gravitomagnetic Equilibrium, eliminating the need for hypothetical exotic substances.
Therefore, the interpretation of the fields of “simple matter,” “dark matter,” and “dark energy” would correspond to:

1. Matter: Compact condensed matter, or simply matter forming particles, atomic nuclei, stars, galaxies, etc.

En = m . c² (energy contained in the nuclear and satellites mass n)

Where En is the total potential energy corresponding to the condensed state of the masses of the nuclei and their orbitals (visible matter: solar or star nuclei plus the masses of their planets, moons, etc.)

2. Dark matter, which is made up exclusively of all the gravitational fields around material nuclei, not including visible matter; also atomic orbital peripheries, the gravitational fields of solar systems, of galactic systems, etc.

3. Dark energy, or fields of energy and magnetic force around material nuclei such as the orbital fields occupied by electrons, planetary orbital fields, galactic arms, etc.

Where Ef is the total energy contained in the entire gravito-magnetic orbital field (whether gravitational or magnetic) around the material nuclei,
m, is the compact matter that forms the solar nuclei, planets, moons, etc.
c, is de speed of light.
And Gs is the Universal Gravitational Constant, which will vary depending on the magnitude and density of fields according to the size of the orbital system considered.

5.13. The Spiral Evolution of the Cosmos

The evolution of the universe follows spiral trajectories rather than linear ones.
Each cycle of expansion and contraction generates a new structural order, producing a progressive spiral of creation that integrates the microcosmic and macrocosmic scales.
In this framework, the formation of galaxies, stars, atoms, and even life itself responds to resonant processes of energy condensation along the axes of the universal spiral.
The spiral thus becomes the symbol and mechanism of cosmic evolution, representing the unity between motion and structure, between geometry and energy.

5.14. Synthesis of the Gravitomagnetic Model

The Gravitomagnetic Model of the Universe can be summarized as follows:
1. Dual Structure of Energy:
The universe is governed by two complementary components -gravitational (convergent) and magnetic (divergent)- which together maintain the equilibrium of all systems.
2. Universal Geometric Constant (π):
The number π defines the harmonic proportion between these two components and regulates the spatial and orbital geometry of all levels.
3. Equilibrium through Motion:
Stability arises not from rest but from continuous motion, where opposing forces remain balanced through rotation and resonance.
4. Unified Field:
Gravity and magnetism are two modalities of a single continuous field -the Cosmic Energy Field- which constitutes the substance of space.
5. Harmonic Expansion:
The universe expands and contracts rhythmically, following a spiral evolution that reproduces the same proportional patterns in atoms, solar systems, and galaxies.

5.15. The Cosmic Dance as Universal Expression

Finally, the Cosmic Dance represents both the symbolic and physical expression of this universal equilibrium.
Every motion in the cosmos -atomic spin, planetary orbit, stellar rotation, galactic swirl- is a step within the same infinite choreography. Through this dance, energy and space remain eternally intertwined, balancing attraction and expansion under the rhythm of π.
The universe is thus a living harmonic organism, where geometry, physics, and vibration are inseparable.
Its dance is not chaos but order in motion, the manifestation of a single principle that unites all scales of being.

5.16. Final Reflection on the Gravito-magnetic Equilibrium

In light of this model, the cosmos appears as a self-sustained harmonic system, governed by universal laws that repeat proportionally from the micro to the macrocosmic scale.
The Law of Gravitomagnetic Equilibrium reveals the profound unity of physical reality:
that all movement, force, and form arise from the interaction of two complementary tendencies -one of concentration, the other of expansion- both modulated by the eternal constant π.
Hence, the Cosmic Dance is not merely a metaphor, but the fundamental reality of the universe: a continuous balance of motion, geometry, and energy -the music of creation perpetually resonating through space.

VI. Mathematical Structure and Universal Proportions

6.1. The Geometric Foundation of the Model

The mathematical formulation of the Model of Unification, Equality, and Equivalence between Cosmic, Macro, and Microcosmic Levels is based on the classical concept of harmonic proportionality, expressed through the constant π as the structural ratio that relates all magnitudes of the universe.
This approach proposes that every physical quantity -mass, radius, density, and energy- maintains constant proportional relations across all scales of the cosmos, from atomic systems to stellar and galactic systems.
Thus, geometry becomes the language of unification, and π functions as the universal proportional constant that connects the microcosmic and macrocosmic dimensions.

6.2. The Fundamental Constant of Longitudinal Unification

6.3. General Formula for Atomic Dimensions

The general formula that defines atomic mass is given by:
Ma = Va x Da
where:
- Ma = atomic mass
- Va = atomic volume
- Da = atomic density
The atomic density is defined as:
Da = π x Pa^1/2
where Pa is the atomic weight.
Thus:
u.m.a. x Pa = 4/3 π R³ x π Pa^1/2
From which the atomic radius is derived as approximately:
Ra := 1/2 x Pa^1/6 This formula expresses a direct relationship between the atomic radius and the sixth root of the atomic weight, indicating that atomic dimensions follow a harmonic progression governed by π.

6.4. Orbital Radius Formula

The formula of situation (orbital radii) establishes the geometric relationship between the atomic radius and the radii of its orbitals or satellites:
Rn = Ra / (π/2)^N-n
where:
- Rn = radius of the orbital (n) being determined
- Ra = atomic radius
- N = number corresponding to the last orbital or atomic boundary
This expression applies analogously to both atomic systems and planetary systems, reflecting the isomorphic nature of orbital structures at all scales.

6.5. Harmonic Resonance Law

The harmonic resonance law postulates that the natural frequencies of oscillation of systems at different levels are related by multiples or submultiples of the longitudinal coefficient:
Fmacro = fmicro / Cu ; Then ; Fmicro = fmacro x Cu
This relationship maintains the principle of harmonic equivalence between scales, so that the oscillatory dynamics of an atomic system correspond proportionally to those of its macrocosmic counterpart.

6.6. Example: The Hydrogen Atom and the Solar System

The hydrogen atom, as the simplest and most fundamental structure, serves as a reference point for the model's application.
Using the general atomic radius formula:
Ra := 1/2 . Pa^1/6
we obtain:
- For Hydrogen (H):
RH = 0.5 x 1^1/6 = 0.5 A
- For Helium (He):
RHe = 0.5 x 4^1/6 = 0.63 A
- For Neon (Ne) -considered the possible atomic equivalent of our Sun:
RNe = 0.5 x 20^1/6= 0.823 A
Applying the equivalence coefficient between levels gives for our solar system:
Rsolar = 0.823 x 6.28 x 10²² = 5.16 x 10¹² meters
which corresponds closely to the orbital distance of Pluto, thus validating the macrocosmic equivalence predicted by the model.

6.7. Orbital Radii of the Planets

According to the same harmonic law, the orbital radii of the planets of our solar system follow a geometric sequence based on π/2. The model predicts the following approximate values:

6.8. Temporal Unification

The coefficient of unification (2π x 10²²) not only relates spatial dimensions but also temporal cycles.
Hence, the model extends its geometric proportionality to time:
Tmacro = Cu x Tmicro
This implies that the periods of revolution of macrocosmic systems are proportional to those of atomic systems, preserving the harmonic ratio throughout all temporal scales.
Thus, the universe behaves as a coupled oscillatory system, where each level vibrates coherently with all others.

6.9. Universal Harmonic Geometry

The model considers π as the universal constant of structural geometry.
It defines the relationship between linearity and curvature, between radial contraction and orbital expansion.
Every structure -atomic, stellar, or galactic- can be described as a geometric manifestation of π, where matter, energy, and motion derive from its harmonic ratios.
This approach transforms physics into geometry in motion, revealing that the universe is not governed by arbitrary forces but by constant geometric relationships.

6.10. Final Mathematical Synthesis

The mathematical synthesis of the model may be summarized as follows:
1. Structural Constants
- π : Universal structural constant
- Cu = 2π x 10²² : Longitudinal unification coefficient
2. Atomic Relations
Ma = Va x Da
Da = π x Pa^1/2
Ra = 1/2 x Pa^1/6
3. Orbital Relations
Rn = Ra / (π/2)^N-n
4. Resonance and Frequency
fmacro = fmicro / Cu
5. Temporal Equivalence
Tmacro = Cu x Tmicro
6. Harmonic Principle
Fg = Fm
These relations establish the formal equivalence between atomic and cosmic systems, unifying their structures through harmonic and geometric proportionality governed by π.

6.11. Conclusion

The Mathematical Structure of the Model demonstrates that the universe can be understood as a continuum of proportional resonances, where the same laws of balance, rotation, and energy distribution operate identically at all scales.
The number π and the coefficient Cu = 2π x 10²² serve as the fundamental constants of unification, harmonizing the microcosm and macrocosm under a single geometric law.
In this framework, matter, motion, and space are not independent entities but expressions of a single harmonic field, whose rhythm -the Cosmic Dance- maintains the perpetual equilibrium of creation.

VII. Philosophical and Physical Implications

7.1. The Principle of Universal Unity

7.2. The Universe as a Harmonic System

From the physical standpoint, the model implies that the cosmos behaves as a self-organized harmonic system, where each level vibrates in resonance with the others according to the unification coefficient:
Cu = 2π x 10²²
This ratio ensures that all scales remain connected through geometric continuity, so that an event in the microcosm has a proportional counterpart in the macrocosm.
The result is a universe in permanent dynamic equilibrium, sustained by the reciprocity between gravity and magnetism, contraction and expansion, curvature and linearity.

7.3. The Law of Dynamic Equilibrium

The model assumes that every physical system tends toward a state of harmonic compensation between the centripetal (gravitational) and centrifugal (magnetic or kinetic) tendencies.
Equilibrium does not mean immobility but oscillatory balance -a continuous alternation that preserves the overall symmetry of the system.
Hence, every atom and every star becomes a microcosmic reflection of the same universal balance, and motion itself is the visible expression of that equilibrium.

7.4. Geometry as the Essence of Matter

If matter can be expressed through geometric relationships derived from π, then its essence is both substance and form in the concentration of energy.
The curvature of space and the distribution of energy arise from the same geometric necessity: the constant proportionality between radii, circumferences, volumes, and energy density.
Matter, according to this interpretation, is a localized and geometrized spherical condensation by π -a localized condensation and resonance of a universal field of energy - whose structure remains constant across scales.
Thus, the atom and the galaxy are homologous expressions of a single geometric archetype.

7.5. The Cosmic Dance

The model introduces the poetic-scientific concept of the Cosmic Dance, which represents the perpetual interaction between gravity and magnetism -two complementary forces that maintain the universe in rhythmic balance.
Gravitation corresponds to the contractive movement (the inward breath of the universe), while magnetism represents the expansive movement (its outward breath).
Both are phases of a single oscillation that preserves the unity of the whole.
In this view, every motion -from electron spin to galactic rotation- participates in the same cosmic choreography, where π defines the tempo and geometry dictates the steps.

7.6. Consciousness and Structure

Beyond its physical formulation, the model suggests that consciousness itself is a geometric manifestation of the same universal harmony.
If the structural pattern of the cosmos is recursive and self-similar at all levels, then consciousness, as the capacity for resonance and awareness, arises naturally from that structure.
Each organized system -an atom, a cell, a planet, or a star- is a node of coherence within the universal field, capable of reflecting the whole in its internal geometry.
Thus, consciousness and matter are two aspects of a single harmonic continuum.

7.7. The Principle of Self-Similarity

7.8. Curvature and its distortion in centrifugal force.

The curvature of energy lines can be reinterpreted as a distortion of the natural equilibrium of motion: a measure of how much a system deviates from perfect equilibrium.
When the curvature increases, kinetic energy is converted into centrifugal force; when it decreases, the system returns to rest.
This concept unifies the geometric and dynamic aspects of physics, linking the linear distribution of energy with the geometry of space itself.
In this sense, the Einsteinian curvature of spacetime appears as a macroscopic expression of the same principle (curvature of power lines) that governs atomic stability.

7.9. The Role of π as a Universal Mediator

Throughout the model, π acts not merely as a mathematical constant but as a universal mediator between dimension and proportion, between form and motion.
It connects the linear and the circular, the finite and the infinite, serving as the key of harmonic transformation across all levels.
Therefore, π is interpreted as the symbol of universal continuity: every complete rotation, every wave, every orbital cycle embodies its value and reproduces its order.

7.10. Towards a Harmonic Cosmology

7.11. Final Reflection

The Model of Unification, Equality, and Equivalence invites us to understand the cosmos not as a mechanical aggregation of parts but as a living harmonic totality, where matter, energy, space, and consciousness are facets of the same reality.
The Cosmic Dance thus becomes both a physical and metaphysical principle -the eternal oscillation that sustains creation and connects the smallest particle with the greatest galaxy.
Through the geometry of π, the universe speaks a single language: the language of proportion, rhythm, and unity.

VIII. Experimental Correlations and Possible Verifications

8.1. Purpose

The Model of Unification, Equality and Equivalence between Cosmic, Macro and Microcosmic Levels is founded on harmonic and geometric principles, yet it also admits quantitative experimental verification.
This section outlines the correlations between theoretical predictions and observed data, both at the atomic and astronomical scales.

8.2. Atomic Densities and Volumes

The model defines atomic density as:
Da = π x Pa^1/2
and atomic mass as:
Ma = Va x Da
where:
- Pa = atomic weight,
- Va = 4/3 π Ra³
- Ra=1/2 Pa^1/6
When these equations are combined, the calculated densities correlate with empirical values for light and medium elements (H, He, C, O, Ne, Fe) with variations within +/- 5-10%. This correspondence supports the validity of π as a density proportionality constant, implying that atomic structure obeys harmonic geometric laws rather than arbitrary quantum magnitudes.

8.3. Atomic Radii and Empirical Values

The formula for the atomic radius:
- Ra=1/2 Pa^1/6
provides the following comparative results:

The close correlation demonstrates that atomic radii follow a harmonic geometric progression determined by the sixth root of the atomic weight, in accordance with the model's formula.

8.4. Macrocosmic Correlations: Solar System

8.5. Harmonic Series of Planetary Orbits

The agreement between predicted and observed orbits validates the harmonic-geometric law as a natural distribution mechanism for orbital systems.

8.6. Scale Equivalence between Atomic and Stellar Systems

If an atomic structure (e.g., hydrogen) is magnified by the unification coefficient Cu, its geometric relationships reproduce those of the solar system.
Parameter-------Atomic Scale---Macrocosmic Equivalent
Atomic radius (H)-- 0.5 A ----- 3.14 x 10 ¹² m
Atomic orbital ratio π/2 Planetary spacing
Electron revolution 10 ^-16 s Orbital period (:= 10⁸ s)
Thus, the ratios of space, time, and frequency remain invariant when scaled by Cu.
This demonstrates the dimensional self-similarity that the model identifies between micro and macrocosmic dynamics.

8.7. Gravitational-Magnetic Compensation

Experimental and observational evidence supports the idea that in both atomic and stellar systems, centripetal (gravitational) and centrifugal (magnetic/kinetic) forces remain in a near-perfect balance.
In the atomic case, this is expressed by:
Fg = Fm
At the macrocosmic level, planetary stability also reflects the same equilibrium between gravitational attraction and inertial momentum.
This equivalence confirms that stability results from harmonic compensation, not from random equilibrium, and is thus subject to universal geometric law.

8.8. Predictive Implications

8.9. Possible Experimental Tests

Potential experimental or observational verifications include:
- Measuring oscillation frequencies or energy levels that scale geometrically by 2π x 10²²
- Comparing the orbital spacing of exoplanetary systems with the predicted π/2 series.
- Testing whether galactic orbital distributions maintain harmonic resonance with atomic spectra.
- Exploring correlations between atomic emission lines and gravitational wave frequencies across corresponding scales.
Each of these lines of research could strengthen or refine the model's geometric proportional framework.

8.10. Interpretation of Empirical Concordance

The consistency between theoretical predictions and observed data does not imply rigid determinism but structural resonance.
The universe does not replicate identical patterns at every level; instead, it expresses harmonic equivalence, where geometry governs probability and stability.
Hence, the physical laws of balance and resonance remain constant, while their manifestations adapt to local conditions and scales.

8.11. Synthesis

The correlations presented confirm that:
- Atomic and cosmic systems share geometric ratios defined by π.
- The longitudinal unification coefficient Cu = 2π x 10²² effectively bridges micro and macrocosmic scales.
- Orbital and structural distributions follow harmonic progressions, not arbitrary configurations.
- Stability in the universe arises from dynamic equilibrium between opposing forces.
Therefore, the universe, from the atom to the galaxy, reveals itself as a harmonic continuum, structured by proportion, resonance, and geometric unity.

IX. Conclusions and Future Perspectives

9.1. Summary of Central Postulates

The Model of Unification, Equality, and Equivalence between Cosmic, Macro, and Microcosmic Levels establishes a classical, harmonic, and geometrically coherent vision of the universe. Its central postulates can be summarized as follows:
1. Structural Equivalence Across Scales:
All laws, forces, and structures observed at the atomic level exist analogously at cosmic scales. Each level is an isomorphic representation of the same fundamental geometry.
2. Dual Harmonic Energy:
Gravitation and electromagnetism (or contraction and expansion) are complementary expressions of a universal tension, maintaining dynamic equilibrium at all scales.
3. Universal Geometric Constant (π):
The number π governs the proportional relationships of mass, density, radius, and orbital configurations, functioning as the structural key of all material organization.
4. Longitudinal Unification Coefficient (Cu = 2π x 10²²):
This coefficient establishes a direct geometric and temporal link between microcosmic and macrocosmic dimensions, connecting atomic radii and orbital distances, as well as oscillation frequencies and periods.
5. Cosmic Dance:
The universe can be understood as a system of coupled oscillators, where the interaction of centripetal and centrifugal forces produces perpetual harmonic motion -from electron orbits to planetary revolutions.

9.2. Main Achievements of the Model

9.3. Implications for Physics and Cosmology

9.4. Future Perspectives

(*) Harmonization with quantum mechanics

1.- However, with a paradigm shift and new mathematical applications, it might be possible to harmonize some quantum formulations that include and respect the distribution in orbital coordinates, as shown in the following drawing:
2.- On the other hand, with orbital coordinates we can describe and construct multiple geometric figures, using a period Pt of time (t) during which the figures are described.

1.- 2.-

2.- 2.-

9.5. Not a Single Big Bang, but an Extensive Self-Regeneration of the Cosmos

9.6. Final Synthesis

The Model of Unification, Equality, and Equivalence proposes that the universe is:
- Harmonic: governed by proportional ratios based on π.
- Self-similar: reproducing structural and dynamic patterns across all scales.
- Unified: connecting atomic, planetary, and galactic systems through a single geometric and dynamic framework.
- Dynamic: in constant oscillation, the Cosmic Dance, balancing contraction and expansion, gravitation and magnetism.
By recognizing the geometric and harmonic unity of the cosmos, this model provides a comprehensive framework for understanding matter, energy, space, and time as different expressions of a single universal principle. It lays the groundwork for a physics of continuous scales, where the microcosm and macrocosm are not merely analogous but equivalent manifestations of the same cosmic architecture.

X. Dimensional Characteristics

10.1 Logical Principles of Cosmic Structuring: The Universal Constant C

According to this model, the origin and genesis of cosmic structuring arise from the creation and union of the two fundamental elements of the Universe: Space, as the locus or stage where the entire cosmic framework is to be created or developed; and Universal Motion, which imparts sustained movement and life to all creations produced within this Cosmos or Universe.
Consequently, if all Space is united with Universal Motion, this union must occur through a stable proportional relationship between both elements. This union establishes uniform and invariant proportions or units of space and motion throughout the entirety of the Cosmos.
But how can we formulate a measure for universal motion within cosmic space?
Of course, establishing a universal unit of motion potential (C, the speed of light) within the cosmic space. This unit manifests as a speed of movement through space and is represented in formulas as:

- Where X is the unit of space through which Universal Motion, or the flow of cosmic energy, unfolds or is executed.
- And T is a unit of measure for Universal Motion in its relational union with space, or "development time" of the movement on that unit of space.
From this, it follows that C is a universal constant that quantifies the relational union between space and universal motion. For C to be an invariable constant, as it appears to have been demonstrated, space and motion must themselves be constant and invariable in their totality.
That is, the totality of cosmic space (X) and the totality of Universal Motion, united by the unit of mutual relation (T), must be constant, invariable, continuous, uniform, and so forth.
We are analysing the Cosmos as a whole, composed of two basic elements: universal space and universal motion. We analyse them as a totality of uniform, constant, and invariable elements.
However, although the totality of the universe is considered uniform and homogeneous, within the cosmic immensity, variations and disparities in particular relative values do occur among the cosmic elements and creations produced and developed throughout this cosmic space.
Thus, the flow of cosmic energy, in its three-dimensional form and operation, can create aggregations and accumulations of energy and matter in certain regions of space, such as material particles, orbital systems, atoms, stars, galaxies, etc. Since all these are different, they possess distinct quantities of matter, distinct movements, distinct velocities, and so on.
In summary, all cosmic creations are constructed from basic elements of stationary, uniform, and homogeneous characteristics—namely, Space, Universal Motion, and their unifying relations such as Universal Time (T). Yet, simultaneously, all these cosmic creations, being infinite in their forms, sizes, etc., and subject to continuous motion and change, become dynamic elements, relative to one another, with constant variability in position, size, velocity of movement, etc.
Therefore, a uniform, stable, and homogeneous Foundation or Base of the Universe or Cosmos exists (represented in formulas by uppercase letters: X, T...). From this Deep Cosmos, cosmic creations emerge that are the complete opposite: dynamic with continuous motion, variable in form, dimensions, velocities, etc., represented in formulas by lowercase letters (x, t...).
Consequently, to present this model with descriptive formulas, we will introduce two fundamental equations:

10.2 Dimensional Characteristics

This model, developed to explain the dimensional structure of the Cosmos, begins by introducing two foundational equations.
These equations provide a conceptual and mathematical basis for describing the dimensional characteristics of the Cosmos both as a whole (Cc) and for each of the particles created within it (Pe, representing the state of particles inside the Cosmos).

Once cosmic space is coupled with Universal Motion -thereby generating a flux of cosmic energy permeating the entire cosmic domain- and a portion of this energy condenses into material particles (which are themselves subjected to continuous motion driven by this cosmic-energy flux), each moving particle acquires a distinct position in space at every instant in time. Consequently, its state is characterized by two continuously changing parameters:
At every instant of time (t), each particle occupies a different point in space (x); conversely, each spatial position (x) occupied by a particle undergoing continuous motion corresponds to a distinct time (t).
The appropriate formulation for this continuously variable state of particles is given by the second equation.

- Pe denotes the state of any particle (P).
- Ps represents the particle's position within a variable spatial coordinate (x) and a variable temporal coordinate (t).

10.3 Conclusions Derived from This Classical Cosmic Framework

From this fully classical perspective, several conclusions can be drawn, all of them consistent with traditional classical physics:
- The Cosmos as a whole is completely uniform, stationary, and in a state of continuous motion and renewal. It possesses invariant structural constants such as the speed of light (C), interpreted here as a ratio expressing the coupling between Cosmic Space and Universal Motion. Both cosmic time (T) and cosmic space (X) are uniform and stationary: they do not expand or contract, stretch or compress. If they were variable, the ratio representing velocity could not remain constant.
- Particles, by contrast, are continuously moving entities situated within the cosmic space-time background. Their states are continuously variable (x, t); therefore, they cannot exhibit multiple simultaneous states such as quantum superposition, nor can they occupy several distinct locations at the same time. Their behavior is thus constrained by classical principles, including the conservation of energy.
In summary, this framework is entirely grounded in classical physics, without invoking any concepts from quantum mechanics.

Therefore, it is the photons emitted by the particles that come, reach, penetrate and activate our brain, but it is not "some supposed brain waves" (non-existent) that we send, they go, collide and change the states of the particles.

From which arises: The Space-time principle of particles:

"For each instant (i) of the lifetime (T) of any particle state (Ps), there will only exist one unique and different state (x,t)".

This is because cosmic space (x) and time (t) are in constant change and motion.

XI.- A Conceptual Framework for Understanding he Cosmos

Abstract

This work proposes a conceptual model for interpreting the structure and dynamics of the cosmos based on the transformation of fundamental lines of force and cosmic energy. Within this framework, gravitational and magnetic forces are interpreted as two manifestations of the same energetic process, differing primarily in direction and dynamical role.
Gravity represents the concentric concentration of energy toward material nuclei, whereas magnetic forces arise as expansive processes once these lines of force pass through the nucleus. This dual mechanism provides a unified interpretation of orbital structures at multiple scales, from atomic systems to astronomical systems, suggesting a structural equivalence between the microcosm and the macrocosm.

Fundamental Hypothesis

Derivative Manifestations of the Two Fundamental Forces

Gravitational manifestations include:

- Gravitational fields associated with the concentration of energy.
- The formation and condensation of matter in nuclei.
- The determination of mass through the quantity of concentrated energy.

Magnetic manifestations include:

- The generation of stable positive orbital structures associated with electric charge.
- Strong magnetic interactions capable of destabilizing and destroying systems, (explosion and destruction of large atoms, supernovae, etc.).
- Weak magnetic phenomena associated with nuclear radioactivity.
- Subtle magnetic or thermal interactions responsible for the fine regulation of orbital energy distributions.

Transformation of Gravitational Lines into Magnetic Expansion

Within this theoretical framework, the behavior of cosmic energy may be summarized as follows:
When the concentric lines of gravitational energy -responsible for the concentration, condensation, and formation of matter- pass through a material nucleus and emerge from it, their direction changes from a centripetal configuration to an eccentric or redistributive configuration.
These outward-directed forces correspond to what may be described as magnetic fields and magnetic forces.
The resulting expansive magnetic forces, which may also be interpreted as orbital centrifugal forces, distribute, stabilize, and maintain satellites within well-defined positive orbits. The characteristics of these orbits depend on the dimensions and rotational velocity of the orbital system as a whole. Such systems include atomic structures, leptonic systems, planetary systems, stellar systems, and galactic structures.

Orbital Geometry and the Cosmic Spiral

In this model, orbital distances or radii depend on the scale of the orbital system and are determined by a cosmic spiral generated by the rotational motion of the system.
Orbital positions correspond to the intersections between the radius of the spherical system and this rotational spiral structure. These intersections define the possible stable orbital distances within the system.

Orbital Flexibility in Subatomic Systems

The formation of orbital systems may also occur in particles smaller than the hydrogen atom, such as leptons. However, in these cases there exists significant flexibility in orbital formation.
Some particles may lack orbital structures entirely, as in the case of the positron, while others may exhibit excessive orbital volume relative to their contained energy. Such configurations typically correspond to negative particles characterized by a large spatial extension and relatively low energy density, which may represent deviations from the optimal cosmic balance of energy distribution.

Structural Equivalence Between Microcosm and Macrocosm

A key implication of this framework is that the process of matter structuring is universal across all scales of the cosmos.
The same principles operate at the level of:

- atomic systems (atoms and electrons),
- leptonic systems (leptons and neutrinos),
- planetary systems (star-planet structures),
- satellite systems (planet-moon structures),
- galactic systems.

Thus, the microcosm and the macrocosm exhibit a structural and dynamical equivalence, governed by the same fundamental forces, energetic processes, and geometric principles.

XII Particles in this Model

Particles: Conceptual Framework

This unified model of cosmic-level equivalence is founded on the principle that all structures and dynamics present in the macrocosm also exist in the microcosm, and vice versa. Consequently, this framework departs fundamentally from the Standard Model of particle physics, proposing instead a continuous structural and dynamical equivalence across all scales of matter.
The model describes a hierarchical process of structuring that begins with the condensation of cosmic energy into minimal material units.
Through gravitational interaction, these units aggregate into progressively larger particles. As particle mass and density increase, gravito-magnetic potentials intensify, ultimately necessitating the formation of orbital systems. These orbital structures arise when magnetic field strength becomes excessive and function to regulate the average energy density imposed by cosmic pressure.
Up to a certain permissible dimensional threshold, particles may exist in a relatively free state. However, once gravito-magnetic potentials reach values comparable to those of electrons, electromagnetic orbitals necessarily emerge. These orbitals expand system volume and restore compliance with the average cosmic energy density.
Beyond this threshold, material bodies generate increasingly strong gravito-magnetic fields that progressively organize surrounding orbitals. Initially, such orbitals lack precise ordering in number and dimension. As mass increases further -reaching the scale of hydrogen atoms- orbital systems become highly structured and strictly regulated, giving rise to stable atomic configurations.
At extreme atomic scales, particularly beyond uranium, magnetic potential exceeds the maximum permissible energy density. Under these conditions, large atomic systems become unstable and undergo explosive fragmentation, producing smaller atoms that fall within the required energy-density range. This mechanism is analogous to stellar supernova explosions.
The atomic scale thus constitutes the upper boundary of the microcosmic domain and simultaneously marks the lower boundary of the macrocosmic domain. Just as subatomic particles aggregate to form atoms, atoms themselves can aggregate to form higher-order orbital systems such as moons, planets, and stellar systems, governed by the same principles, forces, and structural dynamics.

Stable and Unstable Particles in a Harmonic-Geometric Cosmological Framework

Abstract

This work proposes a conceptual framework for interpreting particle stability based on the redistribution of energy density within the cosmos. In this model, magnetic forces are interpreted as mechanisms responsible for the expansion and redistribution of energy in space, driving physical systems toward an average cosmic energy density. Stable particles are defined as those whose internal energy density approaches this cosmological mean value, whereas unstable particles possess significantly higher energy densities. The formation of orbital systems is proposed as a natural mechanism by which matter achieves stability across different scales, from leptons to atomic structures.
Within this framework, many particles observed in high-energy accelerators may correspond to transient configurations rather than fundamental natural states.

1. Introduction

The question of particle stability remains central to the understanding of matter across different physical scales. Conventional physics describes stability in terms of quantum interactions and conservation laws. The present work proposes an alternative conceptual approach in which stability emerges from the tendency of physical systems to approach an average cosmic energy density.
In this model, the cosmos is considered a global container of energy whose large-scale equilibrium is maintained through processes of energy redistribution. Magnetic forces are interpreted as one of the fundamental mechanisms responsible for this redistribution.

2. Energy Density and Particle Stability

Within this framework, particles can be conceptually divided into two categories:

Particles with high internal energy density experience strong magnetic redistribution forces that tend to reduce this imbalance.
Subatomic particles within the atomic microcosm span a broad range of masses, from approximately 10-80 g -hypothetical subatomic constituents-to roughly 4x10^-22 g, corresponding to the largest atoms such as uranium.
Magnetic redistribution forces are not assumed to operate at strict thresholds. Instead, magnetic potential increases progressively with the accumulation of matter and energy within a particle.
Consequently, stability varies with scale. Particles with very small masses exhibit relatively high stability because their magnetic potential remains low. However, as mass increases, magnetic potential grows and the tendency toward destabilization becomes stronger.

3. Electrical Polarity and Energy Imbalance

Electrical polarity may also be interpreted within this same framework. A charged particle can be understood as a quasi-stable configuration that contains either:

- an excess of energy relative to the equilibrium density (positive charge), or
- a deficit of energy relative to this equilibrium (negative charge).

Thus, electric charge may reflect a deviation from the perfectly balanced distribution of energy required for equilibrium.

4. Orbital Systems as Stability Mechanisms

An important question arises: how do particles remain stable across such a wide range of masses, from neutrino-like particles to heavy atoms such as uranium?
According to this model, stability is achieved through the formation of orbital systems composed of:

- a central nucleus or concentration of matter, and
- surrounding orbital structures.

5. Implications for Particle Accelerator Experiments

Particle accelerators generate extremely high-energy conditions in which atomic nuclei are disrupted and particles with masses greater than that of the neutrino are produced.
Within the framework proposed here, such particles possess extremely high magnetic potential due to their large energy density. As a result, they tend to undergo rapid destabilization. This process may occur through:

1. fragmentation into smaller particles, or
2. reorganization into orbital systems that reduce their energy density.

Consequently, many particles detected in accelerator experiments -such as pions, kaons, quarks, or Higgs bosons -may correspond to transient configurations produced under artificial conditions rather than to stable natural particles existing independently in nature.

6. Discussion

The model presented here suggests that the stability of matter may be governed by a universal tendency toward equilibrium in energy density across the cosmos. Orbital structures appear as a natural mechanism allowing matter to reduce its effective density and achieve stability across multiple physical scales.
Although this framework differs from conventional quantum field theoretical descriptions, it offers an alternative conceptual perspective on particle stability and the formation of complex matter.

7. Conclusion

This study proposes that particle stability may be interpreted as a consequence of the tendency of matter to approach a cosmological average energy density. Magnetic forces act as mechanisms of energy redistribution, while orbital systems allow matter to expand spatially and reduce its effective density. Within this framework, many particles produced in high-energy accelerators may represent intermediate or transient states rather than fundamental stable constituents of nature.

Subatomic Particle Classification

Luminous Particles (Lp): 10^-80 -- 10^-60 g

Luminous particles originate when subatomic units emitted by atoms aggregate into intermediate-scale structures known as photons. In this model, photons are interpreted as coherent accumulations of approximately 10⁶--10¹² subatomic units that behave as autonomous particles, often exhibiting disc-like configurations.
Due to their extremely small dimensions relative to atoms, luminous particles can be accelerated to the speed of light. At stellar scales, the analogues of luminous particles are high-energy cosmic rays, consisting of large numbers of atoms moving at relativistic velocities. At even larger scales, galaxies themselves constitute the macrocosmic equivalents of luminous particles, suggesting that galaxies may originate from the explosive disintegration of super-stellar structures.

Heating Particles (Hp): 10^-60 -- 10^-40 g

Heating particles occupy the dimensional range immediately above luminous particles and exhibit substantially lower velocities. Their primary function is to facilitate magnetic and energetic equilibrium within atomic systems. During chemical reactions, atoms emit or capture heating particles to restore parity between contained matter and orbital volume, thereby maintaining the average cosmic energy density.
At stellar scales, heating particles correspond to meteoritic matter absorbed or emitted by stars to preserve equilibrium between stellar mass and volume.

Neutrinos (N): 10^-40 -- 10^-30 g

Neutrinos are larger subatomic particles characterized by a weak but well-defined magnetic potential. This potential enables them to act as stabilizing orbital components within lepton systems. Neutrinos possess high mobility due to the absence of intrinsic orbital structures and can circulate freely within and between atomic systems.
Principle: Any neutrino type is magnetically compatible with any lepton species, including electrons, muons, and taus.

Leptons (E): 10^-30 -- 10^-24 g

Leptons represent the next hierarchical level of particle organization. Their mass and magnetic potential enable them to generate stable orbital structures and to capture smaller particles, particularly neutrinos. Unlike atomic nuclei, leptons do not require strict compliance with total magnetic balance and therefore exhibit greater flexibility in orbital occupancy.
As a result, leptons may capture more neutrinos than required for equilibrium, acquiring a net negative potential. Conversely, leptons that capture no neutrinos -such as positrons- exhibit positive potential due to high matter density relative to volume.
Lepton mass variability allows for a spectrum of configurations, ranging from electrons (typically associated with a single neutrino) to heavier leptons such as muons and taus, which may retain multiple neutrinos.
Principle: Any lepton, including positrons, is magnetically suitable to function as an orbital component of any atomic system.
Definition: A particle is defined as positive when its matter content exceeds that required by its total orbital volume, resulting in high energy density. It is defined as negative when its matter content is insufficient relative to volume.

Atomic Nuclei: 10^-24 -- 4 x 10^-22 g

Atomic nuclei represent the highest level of microcosmic particle organization. Their large mass and intense magnetic potential impose strict regulation of both orbital volume and contained matter. Atomic nuclei actively attract and retain leptons as orbital components and subsequently capture or emit smaller particles to achieve precise energetic equilibrium.
Any alteration in atomic composition -such as lepton exchange during chemical reactions- results in the immediate emission of excess energy in particle form to re-establish balance. An analogous regulatory mechanism operates in stellar systems, which emit or accrete mass as required to maintain matter-volume equilibrium.
Electric Potential: Electric potential arises when a particle's magnetic field is sufficiently strong to generate stable orbital structures. Each orbit corresponds to an electric charge. While this condition is most strictly realized in atomic nuclei, it may also be applied, with lower precision, to leptonic systems.

Particle Stability

Stable particles are those capable of persisting over cosmological timescales because their structural and energetic configurations conform to the balance conditions imposed by the cosmos. Unstable particles, by contrast, possess dimensions or internal forces that exceed these limits and therefore undergo rapid transformation or disintegration. A detailed analysis of particle stability will be presented in subsequent work.

Energetic Balance and Magnetic Regulation

This theory postulates that all matter accumulations generate magnetic fields proportional to their mass. Magnetic force acts antagonistically to gravity and serves to redistribute matter and energy throughout space, tending toward uniform energy density. Large matter concentrations therefore induce strong magnetic fields that promote energetic redistribution.
The action of magnetic regulation can be classified into two principal sub-levels:

Sub-level I: Minimal Magnetic Potential

Particles with masses between 10^-80 and 10^-30 g generate weak magnetic fields that do not compromise structural integrity. These particles can exist independently for extended periods without forming complex systems.

Sub-level II: Orbital-Driven Regulation

Particles with masses between approximately 10^-30 and 4 x 10^-22 g generate intense magnetic fields that necessitate orbital formation to avoid energetic instability. By expanding system volume through orbitals, these particles reduce energy density to acceptable cosmic levels.

- Leptons: 10^-30 -- 10^-24 g, exhibiting flexible orbital occupancy.

- Atomic nuclei: 10^-24 -- 4 x 10^-22 g, exhibiting maximal magnetic potential and strict regulation of both mass and volume. Without orbital regulation, particles in this sub-level would undergo magnetic-driven explosive disintegration.

XIII Philosophical, Physical, and Mathematical Characteristics of the Model
As an Antithesis to Relativity and Quantum Mechanics

The scientific framework proposed in this model is fundamentally opposed to the conceptual foundations of both Relativity and Quantum Mechanics. Its principles, assumptions, and measurement structures differ substantially from those theories, and in several essential aspects they may be considered conceptually antagonistic.
To examine these differences, we begin with the most fundamental physical elements of the cosmos and analyze their essential properties within the framework of the present model.

Space and Time

Within this model, space and time are regarded as stationary, uniform, and invariant entities. Their progression is continuous and free of discontinuities, lacking differential locality and possessing the property of temporal simultaneity across spatial extension.

Continuity

Since space and time are continuous throughout the cosmos, no discontinuities, gaps, or regions devoid of either space or time can occur. The entire universe is therefore described as a uniform continuum of spatial and temporal extension.

Simultaneity

Because space extends continuously through time and time extends continuously through space—and because both share a uniform structure—any point in space X at time T corresponds to infinitely many spatial points X′ that share the same temporal coordinate T.
For example, if a lightning strike occurs in Madrid at time T (3 h 24 min 35 s), infinitely many events will simultaneously occur across the Earth and throughout the universe at that same instant T. All of these events are therefore simultaneous within the universal temporal framework.
Because of this simultaneity, all events occurring at time T remain connected through a universal, continuous, and uniform time coordinate, while simultaneously existing within a continuous spatial field E, regardless of the spatial distance separating them.
For instance, if an observer is seated and having a meal in the courtyard of a house at location X at time T in one area of the city of Malaga, while another individual at that same time T is preparing dinner in a kitchen located at X' on the opposite side of the city, both events occur simultaneously and remain connected through the shared temporal coordinate T and the continuous spatial domain of the city (X-X').
Consequently, individuals do not experience isolated or independent local times. Rather, all observers participate in a single cosmic time T, which is uniform, continuous, and globally simultaneous.
From a practical standpoint, this continuity can be appreciated through empirical observation. If one were to travel around the world for many years with a precise clock and a video recording system, no discontinuities in either space or time would ever be observed. Both would remain constant and continuous throughout the entire journey.
Although different countries employ distinct time zones and social schedules, these conventions merely represent local organizational frameworks within a single universal temporal continuum.

Implications for the Theory of Relativity

Within the framework of this model, the claims of Relativity are therefore considered conceptually unjustified.
Space and time constitute the primary and fundamental elements of physical reality. Velocities -including the speed of light C- are ratios derived from these two fundamental magnitudes. Consequently, velocity must be considered subordinate to space and time, rather than the reverse, as proposed in relativistic formulations.
The speed of light C can indeed be considered a universal constant insofar as it represents the fundamental ratio linking spatial and temporal magnitudes, and therefore expresses the universal rate of motion.
In general, every physical force field may be characterized by two fundamental parameters:

- Field intensity
- Execution velocity

Accordingly, the applied force (Fa) may be expressed as:

Fa = m . I . (1 - [(v² / V²)]^1/2

- where m is the mass; I the field intensity, and
- C (or V) represents the characteristic execution velocity of the magnetic and gravitational forces of the cosmos.

However, within this model neither space nor time undergo expansion or contraction as a function of velocity. Furthermore, the speed of light is not necessarily identical in all reference frames. Instead, photons may possess different velocities relative to different observational frames.
In this context, the value C represents the velocity of light with respect to the frame of reference in which it is emitted, since that frame provides the initial impulse that generates its propagation.

Differences with Quantum Mechanics

The divergences between this model and Quantum Mechanics are extensive and are addressed throughout the broader theoretical framework. One example concerns the principle of superposition. Within the present model, true superposition does not occur.
Instead, while multiple possibilities may exist regarding past states and multiple potential outcomes may exist for the future, at any given present moment only one physically realized state exists for each element and circumstance.
Thus, the present state of any system corresponds uniquely to the single configuration that is actually realized in physical reality.

"For each instant (i) of the lifetime (T) of any particle state (Ps), there will only exist one unique and different state (x,t)".
Tin = Ps (xn , tn)
This is because cosmic space (x) and time (t) are in constant change and motion.

XIII Darwinian Humility vs. Quantum Self-sufficiency.

Here we consider the humble and natural Darwinian view of animal evolution, which includes humans.
This contrasts with the current self-sufficiency and egocentrism, in which we believe we give nature and reality to the Cosmos through our observations and measurements.
Current human egocentrism: "What we see is only what exists.".
What we do not observe or measure is only an infinite amalgam of possibilities, superpositons, indefiniteness, strange, illogical and incomprehensible behaviours for man, and which have been waiting for millions of years for us to turn it into something unique and real".

Therefore, we are unable to accept a Cosmos or Universe that acts and functions on its own, without needing our presence, and using its own physical and structural laws to create everything that moves and develops within cosmic space. Instead, it needs of us to give it life and make it a reality.
Thus, according to Quantum Mechanics, a real Universe, in motion, evolution, and continuous transformation, has not created itself (over millions of years) and ultimately created us, but rather we are the ones who create and give life and reality to the Universe.
Is this true, or are we committing a sin of pride, and like Icarus, will our wings be burned and we fall into the void of absurdity?

XIV.- Extreme Relative Quantities: Superfinites and Infinitesimals as Conceptual Limits of Measurement

Abstract

This work introduces the concepts of superfinite and infinitesimal quantities as relative numerical constructs that define the upper and lower bounds of human capacity for measurement and mathematical application. By framing these magnitudes within both mathematical and philosophical contexts, the study aims to highlight the limitations inherent in human-scale numerical reasoning and to situate such reasoning within a broader cosmological perspective.

1. Introduction

Mathematical practice is inherently constrained by the range of magnitudes that can be meaningfully measured, represented, and applied. While standard numerical systems allow for the formal representation of arbitrarily large and small values, practical usage is limited by cognitive, physical, and instrumental boundaries. This paper proposes a conceptual classification of extreme relative quantities-termed superfinites and infinitesimals-to describe values that lie beyond these conventional limits.

2. Definition of Extreme Relative Quantities

Extreme relative quantities are defined as numerical magnitudes that are either exceedingly large or exceedingly small in relation to the operational capabilities of human measurement and application. These quantities effectively delineate the practical boundaries of numerical usability.

Two principal categories are identified:

2.1. Superfinites (S)

2.2. Infinitesimals (I)

Infinitesimals denote extremely small quantities, often expressed in decimal or limit-based form, that enable the conceptualization of arbitrarily small subdivisions of physical or abstract entities. These include infinitesimal intervals of space, time, length, area, and volume. Such quantities are fundamental in mathematical analysis and provide a framework for approximating continuous phenomena.

3. Reciprocal Relationship

A defining property of these extreme quantities is their reciprocal relationship. An infinitesimal quantity may be expressed as the inverse of a superfinite quantity:

4. Conceptual and Philosophical Implications

The introduction of superfinite and infinitesimal quantities serves not only a mathematical function but also a conceptual one. These constructs provide insight into the scale-dependent nature of human understanding, emphasizing that our mathematical frameworks are adapted to a range of magnitudes compatible with our physical environment.
Beyond this range lie quantities that, while formally definable, remain largely inaccessible in practical terms. This highlights an intrinsic limitation in human cognition when confronted with the full spectrum of possible magnitudes within an effectively unbounded cosmos.

5. Conclusion

Foundational Works in Classical Physics
[1] Einstein, A. (1916). The foundation of the general theory of relativity. Annalen der Physik, 49(7), 769-822.
[2] Newton, I. (1687). Philosophie Naturalis Principia Mathematica. London: Royal Society.
[3] Maxwell, J. C. (1865). A dynamical theory of the electromagnetic field. Philosophical Transactions of the Royal Society of London, 155, 459-512.
[4] Coulomb, C. A. (1785). Premier memoire sur l'electricite et le magnetisme. Histoire de l'Academie Royale des Sciences, 569-577.
[5] Faraday, M. (1855). Experimental researches in electricity (Vols. 1-3). London: Richard Taylor and William Francis.

Harmonic and Geometric Models of the Universe
[6] Nottale, L. (2011). Scale relativity and fractal space-time: A new approach to unifying relativity and quantum mechanics. Imperial College Press.
[7] Mandelbrot, B. (1982). The fractal geometry of nature. W. H. Freeman and Company.
[ 8] Turok, N., & Steinhardt, P. J. (2002). Beyond inflation: A cyclic universe scenario. Physical Review D, 65(12), 126003.
[9] Rueda, A., & Haisch, B. (1998). Inertia as a zero-point-field Lorentz force. Physical Review A, 58(1), 105-120.

Modern Physics and Cosmology Context [10] Hawking, S. W. (1988). A brief history of time: From the big bang to black holes. New York: Bantam Books.
[11] Greene, B. (1999). The elegant universe: Superstrings, hidden dimensions, and the quest for the ultimate theory. New York: W. W. Norton & Company.
[12] Smolin, L. (1997). The life of the cosmos. Oxford University Press.
[13] Barbour, J. (2001). The end of time: The next revolution in physics. Oxford University Press.
[14] Capra, F. (1975). The Tao of physics: An exploration of the parallels between modern physics and Eastern mysticism. Shambhala Publications.