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

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Discussion Overview

The discussion centers on identifying the most fundamental equations and constants in physics, exploring the idea of a minimal set of equations from which all of physics could be derived. Participants consider various equations and constants across different areas of physics, including electrodynamics, thermodynamics, and classical mechanics.

Discussion Character

  • Exploratory
  • Debate/contested

Main Points Raised

  • One participant suggests that Maxwell's Equations could be considered a complete set of fundamental equations for electrodynamics.
  • Another participant proposes that the Einstein Equation and certain equations from the Standard Model might serve as a foundational set for all of physics.
  • There is a discussion about the nature of fundamental constants, with one participant questioning the inclusion of constants like c, μo, and εo, suggesting that some can be derived from others.
  • One participant argues that Newton's Laws could be derived from the equation F = ΔP/ΔT, proposing it as a fundamental equation, while another counters that Newton's Laws are not valid in all contexts and emphasizes the need for relativity.

Areas of Agreement / Disagreement

Participants express differing views on what constitutes fundamental equations and constants, indicating that there is no consensus on a definitive set. The discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Participants rely on various assumptions about the validity and applicability of different equations and constants, and there are unresolved questions regarding the derivation and interdependence of these entities.

learypost
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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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