The Mathematical Dimensions.
Plane and Exponential dimensions
Of ferman: Fernando Mancebo Rodriguez--- Personal page.

You can see many of my works, in the following pages:

COSMIC and ATOMIC MODEL ||| Video: Cosmic and atomic model
Double slit and camera obscura experiments: ferman experiment ||| Type of Waves: Questions of Quantum Mechanics
The socurces of gravity. ||| In favour of the cosmos theory of ferman FCM ||| Theory of Everything: summary
Model of Cosmos. ||| Development speed of forces.||| Magnets: N-S magnetic polarity.
Stellar molecules ||| Static and Dynamic chaos||| Inversion or Left-right proof ||| Scheme approach TOE
Chart of atomic measures||| The main foundations of the Cosmos' Structure ||| Unstable particles in accelerators
Short summary atomic model ||| Positive electric charges reside in orbits.||| Mathematical cosmic model based on Pi.
Inexactness principle in observations ||| Einstein and the gravity ||| The Universal Motion ||| Atomic particles
Cosmic Geometry ||| Bipolar electronic: semiconductors ||| Multiverse or multi-worlds||| Light and photons
Quantum explanation of Gravity ||| Real physics versus virtual physics ||| The window experiment
Atomic Density ||| Linkin: Coeficients Lcf Mcf ||| Atomic nuclei structuring: Short summary
Few points about Cosmic Structuring.||| What is Time||| Simultaneity ||| The Cosmic tree ||| The Cosmic entropy
Interesting and short life of neutrons ||| Leptons field ||| Macro Microcosm, the same thing.
Fourth dimension of space.||| The way to get a unity theory||| UHECR Ultra-high-energy-cosmic-rays
Magnetic or entropy forces: types or classes||| Time observation and time emission ||| The universe expansion
Planetary Mechanics : Short summary ||| Easy explanation of the Planetary model||| State and type of Particles
Higgs boson and fields: wrong way ||| The positron proof: main types of magnetic fields ||| The gravity proof
Current state of cosmology ||| Electromagnetic charges: reason and procedure ||| Neutron: The short and interesting life of
Type of Magnetic Forces ||| The big-bang and Universe' expansion ||| Astronomical chart: Astros, asteroids and microids
Certainty Principle: easy explanation ||| Certainty Principle and the Schrodinger's Cat ||| Wave function collapse
Relativity versus QM ||| The non-curvature of space by matter ||| The Master Clock
Ferman's light analysis ||| Cosmos basic elements, summary||| Comparative numbers in double slit experiment
Stars dimensions ||| Orbital situation of electrons ||| Bright cores versus Black holes
Summary of Ferman cosmic vision and models ||| Atomic nuclei similar to stars ||| Stationary time, but not local neither relativist
Neutrinos versus background radiation ||| Saturn says no to Einstein curvature.||| Da: Average density of energy in the cosmos
Gravity versus magnetic fields of force ||| Black holes cannot exist||| Expansion of materials by energy
Particles in accelerators: almost infinite ||| Trans-dimensional or ideal loupe||| 4D of space, time and matter
5D x 6D = Universal motion x time = Cosmic energy ||| The six cosmic dimensions
Neutrinos ||| Nature of light ||| Hydrogen atom ||| Uncertainty principle: test||| Criticism to Quantum M
Invariance Principle of Time ||| Stuffing forces and heat particles||| Physical waves and imaginary waves
Higgs fields and bosons: Imaginary elements||| Higgs bosons predictions||| Exotic particles
Stars as copies of atoms ||| ERF: Energy rebalancing forces||| Big Bang reality
Radial coordinates.||| Physical and mathematical sets theory. | Algebraic product of sets.
Planar angles: Trimetry.||| Fractions: natural portions.||| Cosmic spiral ||| Inverse values of parameters and operation
Equivalence and commutive property of division. ||| Concepts and Numbers. ||| Bend coefficient of curves ||| Mathematical dimensions
Transposition property ||| Accumulated product: Powers ||| Dimensional Geometry: Reversibility
Priority Rule in powers and roots ||| The decimal counter ||| The floating point index ||| Paradoxes in mathematics
Direct formula for Pi: The Squaring Pi. ||| The pyramids of Squaring Pi. ||| Functions of Pi ||| Integration formulas Pi.
Squaring the Circle ||| Cocktail formula for Squaring Pi.||| Orbital coordinates in motion: Summary
Oscillating function: Cartesian oscillators ||| The ciclo as unit of angular speed ||| Squaring circles ruler and compass |||
Video: Squaring circles ruler and compass ||| The number Phi and the circumference.speed |||
The The extended Pi ||| Angles trisection||| Squaring the Circle regarding Phi||| Video of the two squares method
Discusion about the Pi as transcendental number|||: Not transcendental Pi||| The chained sets|||
Properties of equalities in limits||| The Phi right triangles ||| Pi and the Circumscription Theorem
Pi triangle by squaring the circle : Vedeo Pi triangle ||| Squaring Pi demonstration by circumscription Theorem LatexPdf
Doubling the cube ||| Framing the circle ||| Phi and Pi: relation formula
Squaring circle with Phi (to 0.000005 of ideal ruler and compass)
Spherical molecules. ||| Genetic Heredity. ||| Metaphysics: Spanish only. ||| Brain and Consciousness. ||| Type of Genes T and D
Certainty Principle ||| From the Schrodinger cat to the Ferman's birds ||| The meaning of Dreams
Freely economy ||| Theoricles of Alexandria ||| Rainbow table of elements.||| Satire on the Quantum Mechanics
Cancer and precocious aging ||| Hardware and software of Genetics ||| The farmer and the quantum physicist
Dreams and unconscious logical computing
Andalusian Roof Tile. ||| Rotary Engine. ||| Water motors: Vaporization engines.
Triangular ferman's Houses .||| Pan for frying and poaching eggs ||| The fringed forest
Summary of Hydraulic Chenge Box
The Emperor's new clothes and the QM ||| Garbage Triangle: Quantum mechanics, Relativity, Standard theory
Fables and tales of the relativists clocks.||| Nuclei of galaxies.||| Particles accelerators.
Hydrocarbons, water and vital principles on the Earth. ||| Cosmos formula : Metaphysics
Ubiquity Principle of set.||| Positive electric charges reside in orbits.
Chaos Fecundity. Symbiosis: from the Chaos to the Evolution.||| Speed-Chords in galaxies.
The ancient planets Asteron and Poseidon.||| The man and the testosterone.||| Toros say ||| The essence of life
Chaos + symbiosis = evolution ||| Future Cosmology: Satire on Relativity and Quantum Mechanics
The stupid tale of the astronaut that did not age
Video Universal Consciousness||| Who is God ||| Web Universal consciousness
Creation: Highlights||| First steps in metaphysics ||| A personal experience
Reason for the Cosmos' creation


The mathematical dimensions
Plane and exponential dimensions


* This study on the mathematical dimensions is born from a physical initiative to explain the fourth dimension of space.
And this is because the fourth dimension of space matches and belongs together with the mathematical characteristics.

To expose the topic firstly we should take conscience of our dimension and situation it the space, and from here, we can imagine a long trip through space to locate us at different levels of the same one, where we can see as what happens at our dimensional level also have to happen at any other level of the space, and of course, also in the mathematical field.

This way located at our level, on the floor or sand, we can draw a square of 1 meter of side.

Nevertheless, if we locate ourselves at atomic level, with the angstrom as unit, we could draw there also a square of 1 angstrom of side.
And if we make it at cosmic level we will also be able to draw a square of 1 light-year of side.

Now then, located in our level and without moving from it, we can draw a square of 1 meter of side, but also of 2 meter of side, of 3 meter of side, of 4, of 5, etc.

Therefore we notice that two levels or dimensions exist through which we can draw our square.

--- The Plane Dimension in which we are locate, and on which can make the draw directly, and the
--- Exponential Dimension to which we haven't access directly, but through our thoughts.

In the Plane Dimension or plane level, in which we are, we can draw that square of 1, 2, 3, 4, etc. meter of side.
But in anyone of the steps of Exponential Dimension, any other huge or minuscule inhabitant of these levels also could draw these squares.
For instance:
If we were of -221 meters long, we could draw our square on un electron.
This way, these two space dimensions exist, and they can be subdivided in the four dimensions of the space; the three Cartesian dimensions: longitude, surface and volume plus the exponential dimension.
Therefore the four dimensions of space will be: Longitude, surface, volume and exponential.

In Mathematics:

But off course, we are studying the problem from a mathematical point of view.
Therefore we can ask ourselves: What is the dimensional relation between space and mathematics? The mathematics, the same as space, or vice versa, also contain these two types of dimensions: The Plane dimension and the Exponential dimension.

-- The Plane dimension would be the natural numbers, 1, 2, 3, 4, etc.
-- And the Exponential dimension would be naturally the exponential numbers, although respecting the decimal metric system that we have given ourselves: 1, 0'1, 0'01, 0'001, 0'0001, etc. and in upward form 1, 10, 100, 1000, 10000, etc.

Exposed it in decimal exponents :
In descending order: 1, -11, -21, -31, -41, -51,

And in upward way: 11, 21, 31, 41, 51,

For it and summarizing, as much the mathematics as the space, they have two types of dimensions: The Plane Dimension and the exponential Dimension.
Inside these dimensions when we are formed by a certain quantity of space, we locate ourselves in the level 1 and we have capacity to move alone for the Plane dimension, that is to say, from the 1 meter toward the 2 meters, toward the 3 meters, etc., but we cannot move or enter in the exponential dimension toward the 0'1 meter, 0'01 meter, 0'001 meter, 0'0001 meter, etc.

Although this is not topic of mathematics, we must to do the observation that the exponential dimension of space also affect and is completed by the whole spatial elements, as they are matter, energy, field of forces, etc.
This way, the matter is constituted in exponential form toward the infinitely small or toward the infinitely big thing. So, stars are formed by other smaller exponential units as they are the atoms, and in turn, atoms are formed by other smaller units as they are sub-atoms, and so forth.