This question makes a new gate to think the relation between results of Last fermat theorem geometrically and its relation with Quantum mechanics , Curvature of Space-time , special and general relativity and other issues in physics and in general about our whole universe.All ideas , opinions , questions , links , papers and work reports will be acknowledged.
Dear Hamed,
A mathematical theorem has nothing to do with physics, unless an engineer has a specific experiment or a set of experiments that should be contained in a theory.
Then, a mathematician at the service of the engineer can try to make fit the figures and put them together in a theory, hopefully a theory that can be connected to other, already existing theories, which would improve the substantiation.
Since physics are mostly based upon electromagnetism or gravity, and are much more complex than the expression of the Last Fermat theorem, I don't think it is wise trying to inverse things, by trying to find an application that would hold for this theorem.
Good luck!
Fermat's last theorem was eventually proven, and now represents a limitation of 2 and 3 dimensional systems as may be applied to physics. It doesn't apply to 4D or higher dimensions, but could possibly be amended to cover higher systems.
It is basic algebra, but may be used to represent geometry which has physical interpretation. Fermat's last theorem was interesting for a long time but has been passed by other more interesting work.
Proof of Fermat's last theorem has led to the study of Modularity theorem. Modularity theorem links a class of elliptic curves to modular forms. Modular forms are in turn related to conformal field theories, where Lorentz symmetry is extended to invariance under conformal symmetry. Such theories are related to string theory. This is a relation in a nutshell.
Biswajoy> This is a relation in a nutshell.
There is an ergodic theorem: Given sufficient time (and funding) string theory will come arbitrary close to every possible point in the space of human ideas.
Dear Dear
String theories as presented today are heavily contaminated with the interpretation of copenhagen.
This contamination leads theories in very tortuous ways.
I found a 5-dimensional string theory that allows us to integrate all physics and mathematics into the same simple set of equations.
The path I followed was totally different from today.
My works indicate that the universe is a computer of systolic architecture that encodes infomations like waves on the strings.
Where the coherent interference of these waves creates a holographic projection of 5 dimensions that we call reality. These dimensions are counted from zero to four. The zero dimension is described by quantum mechanics, and the other dimensions by the theory of relativity. The set of equations resulting from the theory is composed of only 4 numerical values that originate in the physical properties of the string.
In synthesis the theory I found demonstrates that an open two-dimensional fermionic strings can take 5 different geometric shapes.
And with these 5 geometric forms a system of parallel computation type systolica is constructed. Where the interferences of the information inside the machine creates a hologra that we understand as the surrounding reality.
I'll send you a plot of the plank equation of black and new bodies, where you will see that the results are exactly the same, with a precision of 10ppb. But the new equations do use the permeability and permissiveness of the quantum vacuum. Eliminating the consttz of Boltzamm, the Light and Planck. As this equation gave rise to quantum mechanics, it is emblematic to prove that the apparent universe is created from computational information.
If you want we can talk more I have reconverted all the physics to the new equations and I am working on the mathematical conversion that is derived from the language that the computer universe executes.
It's been 9 years since I've been practicing full-time theory.
At the moment I am working with my masters supervisor in computer engineering to load these equations into a computer and create a universe identical to ours in the memory of a machine. Obviously, the current machines will allow you to have a very small space of the simulated universe, but it will have all the properties of our universe.
Sorry for the mistakes of English but languages is not my specialty.
Greetings,
Jorge Barcellos.
None. Fermat's theorem and its proof are mathematical statements, whose validity is independent of any approximate description of Nature.
While the mathematical concepts developed for proving Fermat's theorem may be of relevance to the description of certain physical effects, the distinction matters. In the particular case, there is no relation, since the mathematical description of gravitational waves doesn't rely on the concepts involved in proving Fermat's theorem. This is just an attempt to gain visibility by association.
The fermat theorem helps us to understand the symmetry of curves, which contributes a small part in the understanding of space
https://www.researchgate.net/publication/315721760_Fermat_Last_Theoreme_Demostration?_iepl%5BviewId%5D=GwzDUkaMToZ0WmpEEhXraJNa&_iepl%5BprofilePublicationItemVariant%5D=default&_iepl%5Bcontexts%5D%5B0%5D=prfpi&_iepl%5BinteractionType%5D=publicationTitle
Article Fermat Last Theoreme (Demostration)
Hello and thanks a lot for your nice comments.
My goal was to find applications of this theorem in physics.
Because , physics and geometry are really closed and connected together.
We will discuss more to find physical investigation and justification of applied mathematics in all branches of physics that is called computational physics.
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