What Are the Unsolved Problems in Physics and Math That Could Impact Society?

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SUMMARY

The discussion centers on unsolved problems in physics and mathematics, specifically highlighting the Millennium Prize Problems established by the Clay Mathematics Institute in 2000. Among these, two problems are particularly relevant to physics: the Yang-Mills Existence and Mass Gap and the Navier-Stokes Existence and Smoothness. These problems are foundational in their respective fields and present significant challenges that, if solved, could lead to advancements in both theoretical physics and applied mathematics. The potential for a million-dollar prize further incentivizes research in these areas.

PREREQUISITES
  • Understanding of the Millennium Prize Problems
  • Familiarity with Yang-Mills theory
  • Knowledge of fluid dynamics related to Navier-Stokes equations
  • Basic principles of mathematical proofs and problem-solving techniques
NEXT STEPS
  • Research the Yang-Mills Existence and Mass Gap problem
  • Explore the Navier-Stokes Existence and Smoothness problem
  • Study the implications of solving Millennium Prize Problems on modern physics
  • Investigate current research methodologies in theoretical physics and mathematics
USEFUL FOR

Students and researchers in physics and mathematics, particularly those interested in theoretical challenges and their societal impacts, as well as anyone pursuing a PhD in related fields.

vatzis
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OK, need to work on something of my PHD. Can someone explain to me a Physics / Math / or possibly computer programming problem that is yet unsolved.

I don't want links to wiki pages, just someone to explain to me in plain English, what the problem is, why people are struggling to solve it and how it will help society.

Thanks!
M.
 
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Your best bet is to be working with your advisor on a suitable problem. He/she would be in the best position to know where research is headed and provide guidance.

As far as major problems in Physics, the most famous are the Millennium problems:

http://en.wikipedia.org/wiki/Millennium_Prize_Problems

People are interested in them because they are considered foundational and because you could be awarded a million dollars. Also they could give you a clue about what you might like to research.
 
Hmmm... you have been admitted to a PhD program and you don't know what you are going to work on yet?

What field are you in? Probably not any of the one's you named because otherwise you would already know about likely problems, and you wouldn't need "plain English" descriptions.
 
jedishrfu said:
As far as major problems in Physics, the most famous are the Millennium problems:

http://en.wikipedia.org/wiki/Millennium_Prize_Problems

wiki said:
The Millennium Prize Problems are seven problems in mathematics that were stated by the Clay Mathematics Institute in 2000
:rolleyes:
 
Enigman said:
wiki said:
The Millennium Prize Problems are seven problems in mathematics that were stated by the Clay Mathematics Institute in 2000
:rolleyes:
vatzis said:
Can someone explain to me a Physics / Math / or possibly computer programming problem that is yet unsolved.
:biggrin:
 
Enigman said:
jedishrfu said:
As far as major problems in Physics, the most famous are the Millennium problems:

http://en.wikipedia.org/wiki/Millennium_Prize_Problems

wiki said:
The Millennium Prize Problems are seven problems in mathematics that were stated by the Clay Mathematics Institute in 2000

:rolleyes:

:devil:

Simon Bridge said:
:biggrin:
o:)Just pointing out a typo...
 
Two of the 7 problems are Physics-based:
- Yang Mills Existence and Mass Gap
- Navier Stokes Existence and Smoothness

and have interest in the Physics community
 
jedishrfu said:
Two of the 7 problems are Physics-based:
- Yang Mills Existence and Mass Gap
- Navier Stokes Existence and Smoothness

and have interest in the Physics community

:redface:missed those...
/end hijack
 

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