Most Beautiful Theories in Math & Physics

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In summary, the conversation discusses various theories in physics, math, biology, and geology, with participants sharing their personal choices for the most beautiful theory. These include the Prime Number Theorem and the Theory of Relativity in math and physics, the concept of closed-loop feedback, and the idea of evolution in biology. The conversation also touches on the different meanings and interpretations of the term "theory".
  • #1
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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  • #2
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.
 
  • #3
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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  • #4
Evolution. I find the idea that all life on Earth is connected far more spiritual than any dogma.
 
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  • #5
math: limit
physics: general relativity
biology: evolution
 
  • #6
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!
 
  • #7
biology: evolution
life is a very complex information system​
geology: tectonics
 

1. What are the most beautiful theories in math and physics?

The most beautiful theories in math and physics are subjective and can vary from person to person. However, some commonly mentioned theories include Einstein's theory of relativity, Maxwell's equations, and Euler's formula.

2. What makes a theory beautiful in the field of math and physics?

A beautiful theory in math and physics is one that is elegant, simple, and able to explain complex phenomena. It should also have a wide range of applications and be supported by experimental evidence.

3. Can you explain the concept of beauty in science?

The concept of beauty in science is often described as the ability of a theory to explain complex phenomena with simple and elegant equations. Beauty in science can also refer to the aesthetic appeal of a theory or its ability to make predictions that can be tested through experiments.

4. How do beautiful theories impact the field of math and physics?

Beautiful theories have had a significant impact on the field of math and physics. They have led to breakthroughs and advancements in our understanding of the universe, and have paved the way for new technologies and inventions.

5. Can you name some examples of beautiful theories in math and physics that have had a significant impact?

Einstein's theory of relativity, which revolutionized our understanding of gravity and space-time, is often considered one of the most beautiful theories in physics. Maxwell's equations, which describe the relationship between electricity and magnetism, have also had a significant impact on modern technology. In mathematics, Gödel's incompleteness theorems and the Pythagorean theorem are also commonly cited as beautiful theories with significant impact.

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