What are the "central/axiomatic equations of physics" from which....

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Discussion Overview

The discussion revolves around identifying the "central/axiomatic equations of physics" that could serve as foundational principles from which all other equations in physics can be derived. Participants explore the possibility of a minimal set of equations or principles applicable across various areas of physics, including classical mechanics and electromagnetism.

Discussion Character

  • Exploratory
  • Debate/contested

Main Points Raised

  • One participant questions whether Newton's three laws can be considered foundational due to their lack of applicability to electric charge and relativity.
  • Another participant asserts that physics is not a formal axiomatic system, suggesting limitations in defining a minimal set of equations.
  • A reference to Feynman's summary of classical physics is made, indicating that there may be a concise way to encapsulate fundamental principles.
  • One participant proposes that the principle of least action is a fundamental concept, arguing that nature operates with minimal energy expenditure.

Areas of Agreement / Disagreement

Participants do not reach a consensus on what constitutes the central equations of physics, with multiple competing views and interpretations presented.

Contextual Notes

The discussion highlights the complexity of defining a minimal set of foundational equations, with considerations of different areas of physics and the nature of physical laws themselves.

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What are the "central/axiomatic equations of physics" from which all others can be derived?
What are the "central/axiomatic equations of physics" from which all others can be derived? For example, it couldn't just be Newton's 3 laws, because they don't say anything about electric charge, besides the fact that there is relativity. Is there a minimum set of maybe 8 equations and/or principals from which everything else in all areas of physics can be derived?
 
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want2graduate said:
What are the "central/axiomatic equations of physics" from which all others can be derived? For example, it couldn't just be Newton's 3 laws, because they don't say anything about electric charge, besides the fact that there is relativity. Is there a minimum set of maybe 8 equations and/or principals from which everything else in all areas of physics can be derived?

Physics isn't a formal axiomatic system.
 
Feynman summarizes all classical physics into some equations (see Table 18-1).
 
I think the most fundamental principle is least action, minimality. Nature doesn't waste energy on detours - evolution aside, which is due to the lack of a mechanism for optimization.
 
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