The curvature of space-time cannot exist, because if it did, all flat and regular geometric figures would be deformed and their mathematical measurement formulas could never be applied.
Nor would the geometric concepts of Euclid, the Pythagorean Theorem, the Cartesian coordinates and all the formulas based on them, the Gauss curves, etc., exist or be valid there.
* For example, if we take a circle, a sphere or a hexagon in our hands, we will be able to measure it perfectly with its formula.
But if we now put ourselves in front of a funhouse mirror (which distorts and curves the image) on that mirror we will no longer be able to measure of the reflected figures.

Friends, I think we are getting used to (or perhaps "others" try to get used us) to living in a world of Avatar, imaginary and non-existent, but too far from us to verify its veracity.
And this is the problem of the curvature of space that promotes relativity.
We are told that gravity is not a force, but a curvature of space.
Then, when it comes to observing this curvature, it is said that it is not observed in our daily life because it is imperceptible to our ability to observe, but that it does exist in other "special" places in space far from us.
But of course, then everyday reality collides head-on with such statements, since it is shown day by day that gravity is extremely powerful in our daily events.
For this I give the simple example of the bottle of champagne that we hold with our hand, and that we drop to check the power or not of gravity, and if it is an acceleration force or a deformation of space.
The answer and demonstration is forceful, the bottle does not stay still in a space curve, but rather accelerates powerfully, being able to destroy our foot if it falls on it.
Therefore, all this demonstration tells us that gravity of a blunt force (by the acceleration caused, F = m.a) that around us.
And what do we do when we observe all these daily tests?
Well, we closed all the paths and forms of our logical mind, and we immersed ourselves again in that world of Avatar, magical and majestic, even if it is in spaces that are somewhat far away and unreachable for us.
Of course, it will not be me who criticizes our tastes and desires, we are all free of mind and thought.
Me alone expose my view points.

Einstein with his Relativity and Schrodinger with his probabilities, waves and superposition have defenestrated and eliminated all previous science and scientific consciousness, to put it metaphorically, they have buried the life and work of their predecessors.
For example, and logically, if the material nuclei deform and curve space-time, the previous proposals and formulas that were based on the uniformity and stationary vision of space and time cannot be applied to it.
If the space and therefore the paper and drawing instruments that we are using are curved and deformed, we cannot apply the rectilinear and geometrical formula of the Pythagoras Theorem to it; nor the rectilinear ideas, principles and concepts of Euclid; neither are Cartesian coordinate systems; nor will the formulas and curves exposed in these coordinates be exact, etc.
That is, to immerse ourselves in a relativistic state of temporal, local relativity, etc. it makes it impossible for us to apply to it any previously used mathematical concept.
The same happens with quantum mechanics, since nothing is real or current, only probable because of the formulas proposed by quantum scientists.
So if you are trying to find the hypotenuse of a triangle, ! Don't do it!, Because space is curved and the solution will be false.

Thank you friends