Most Beautiful Theories in Math & Physics

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SUMMARY

The discussion centers on the most beautiful theories in mathematics and physics, highlighting the Prime Number Theorem and the Theory of Relativity as key examples. Participants note the distinction between "theory" and "theorem," emphasizing the varying interpretations of these terms across disciplines. Additionally, concepts like closed-loop feedback and the interconnectedness of life through evolution are mentioned as aesthetically pleasing ideas. Overall, the conversation reflects a deep appreciation for the elegance of mathematical and physical theories.

PREREQUISITES
  • Understanding of the Prime Number Theorem
  • Familiarity with the Theory of Relativity
  • Basic knowledge of closed-loop feedback systems
  • Awareness of evolutionary biology concepts
NEXT STEPS
  • Research the implications of the Prime Number Theorem in number theory
  • Explore the mathematical foundations of the Theory of Relativity
  • Study closed-loop feedback mechanisms in engineering
  • Investigate the principles of evolution and its impact on biological systems
USEFUL FOR

Mathematicians, physicists, biology enthusiasts, and anyone interested in the philosophical and aesthetic aspects of scientific theories.

arpon
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What's the most beautiful theory in Physics or Math you have ever read?
For me, they are the Prime Number Theorem and the Theory of Relativity.
 
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I don't know enough about any particular theory to consider one more beautiful than the next, but I've read enough about relativity, so that is my choice.
 
arpon said:
For me, they are the Prime Number Theorem and the Theory of Relativity.
There is a difference between "theory" and "theorem", at least in mathematics. Also, the term "theory" seems to have quite a different meaning depending on whether you ask a physical scientist or a mathematician.
 
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Evolution. I find the idea that all life on Earth is connected far more spiritual than any dogma.
 
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math: limit
physics: general relativity
biology: evolution
 
I guess it's not a theory, but I recall that as I started learning about things in general, that the concept of closed-loop feedback just struck me as a 'beautiful' concept. I just found it fascinating that if you had reference to follow, it could be done with extreme accuracy, or new frequencies generated from a ref frequency, even with very loose tolerance parts. It's magic!
 
biology: evolution
life is a very complex information system​
geology: tectonics
 

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