Fundamental Equations in Physics: Uncovering the Building Blocks of the Universe

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The discussion centers on identifying the most fundamental equations in physics that could serve as a foundation for all physical laws. Maxwell's Equations are highlighted as a complete set for electrodynamics, while the Einstein Equation and equations from the Standard Model are suggested as potential cornerstones for a broader framework. The conversation also touches on the concept of fundamental constants, noting that constants like c, μo, and εo are interrelated and not all necessary. Participants debate the validity of Newton's Laws in the context of relativity, emphasizing the need for equations that hold true across all scenarios. The goal is to pinpoint a minimal set of equations that encapsulate the essence of physics.
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What would be the most fundamental equations in physics? For example, I know that all of electrodynamics can be obtained from Maxwell's Equations; therefore, Maxwell's Equations would be a complete set of the most fundamental equations of EM. However, something like PV=nRT can be derived from other equations of motion so it is not a fundamental equation.

In other words, what is the smallest set of equations from which all of physics could be recovered? Kind of like the equivalent of the ZFC Set Theory axioms (from which, in theory, all of math can be derived) but for physics. I would guess that it would be the Einstein Equation and some equations of the Standard Model.
 
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As kind of a follow up, what would be the most fundamental constants? For example, c, μo, and εo would not all be include since anyone can be derived from the other two.
 
learypost said:
As kind of a follow up, what would be the most fundamental constants? For example, c, μo, and εo would not all be include since anyone can be derived from the other two.


I don't know, but I have done Google searches on "fundamental constants" that gave me the answers.
 
I would say all three of Newton's Laws could be obtained from F = \frac{\Delta P}{\Delta T} so it would be pretty fundamental.
 
JHamm said:
I would say all three of Newton's Laws could be obtained from F = \frac{\Delta P}{\Delta T} so it would be pretty fundamental.

But Newton's Laws aren't valid. You have to use relativity, that's why I suggested Einstein's Equations.
 
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