Hi, what do you mean exactly by "mathematically consistent" ? Mathematics are used to model physical phenomenom usually (ODE, PDE, etc..). In some particular fields like cosmology, mathematics are even used to try to build new theories.

Hi, what do you mean exactly by "mathematically consistent" ? Mathematics are used to model physical phenomenom usually (ODE, PDE, etc..). In some particular fields like cosmology, mathematics are even used to try to build new theories.

Dear Abhay Padsala ,

Mathematics is the language of science. In particular, physics.

For example, if the physicists invent some model to describe the expanding universe theorem, or the big bang, this model is mathematically consistent with the proposed axioms.

Of course, different axioms produce different models but all are mathematically consistent with the original assumptions.

You may say that some model is not correct, in fact, this is equivalent to say some of the assumptions is wrong but not the used mathematical model.

Best regards

I know it's probably not what you are looking for but I would say it is as consistent as mathematics. Look in Wikipedia for the basics...

https://en.wikipedia.org/wiki/Consistency

https://en.wikipedia.org/wiki/Hilbert%27s_second_problem

Cheers!

“As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality.” Albert Einstein

Dear, Abhay Padsala depending on the observations and measuring instruments that are appropriate, in the future physics will clearly continue to develop, developing on objects that are being observed and measured. if you have to make it mathematically. if it is made mathematically it sometimes has to use assumptions.