Number theory and theoretical physics

[narniaoff]

Hello dear forum member I wanted to know how about the research on this branch of science.Are many people working on or is it a very very small area because it is too difficult . Are researchers in this area seeking new maths in the short what is the general policy direction of their research

 

[HallsofIvy]

I find it hard to imagine any direct applications of number theory to physics.

 

[narniaoff]

ok thank you a lot for the answer but for example what kind of research consist on geometric langlands program and gauge theory

 

[zetafunction]

http://www.secamlocal.ex.ac.uk/people/staff/mrwatkin//zeta/physics.htm

- Physicist look for a proof on Riemann Hypothesis based on QUANTUM CHAOS

http://www.secamlocal.ex.ac.uk/people/staff/mrwatkin//zeta/qm-general.htm

http://xxx.lanl.gov/abs/chao-dyn/9809005

¿ Quantum computersfor factorization ? http://arxiv.org/abs/0810.4372

http://www.secamlocal.ex.ac.uk/people/staff/mrwatkin//zeta/seco5.pdf

 

[blue_raver22]

Number theory and theoretical physics are two very distinct branches of science, but they do have some overlap in terms of research. Number theory is a branch of mathematics that deals with the properties and relationships of numbers, while theoretical physics is a branch of physics that uses mathematical models and theories to explain and predict physical phenomena.

In terms of research, there are certainly many people working on both number theory and theoretical physics. However, they may not necessarily be working on the exact same topics within these fields. Number theory has a long history and has been studied for centuries, so there are many researchers working on various aspects of it. Theoretical physics, on the other hand, is a relatively newer field and is constantly evolving, so there may be fewer researchers in comparison.

As for the difficulty of these areas, both number theory and theoretical physics do involve complex mathematical concepts and theories. However, with the advancements in technology and computing, researchers are able to tackle more difficult problems and make progress in these areas.

In terms of seeking new mathematics, this is a common goal for both number theory and theoretical physics researchers. In order to understand and explain the physical world, theoretical physicists often need to develop new mathematical models and theories. Similarly, number theory researchers are always seeking to discover new patterns and relationships among numbers.

The general policy direction of research in these areas is to continue to push the boundaries of knowledge and understanding. Researchers in both number theory and theoretical physics are driven by curiosity and a desire to uncover new insights and connections. Ultimately, the goal is to advance our understanding of the universe and our place within it.