Questions about deriving generic equations/laws from specific equations/laws

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SUMMARY

The discussion centers on the derivation of generic physical laws from specific equations, particularly in the context of electromagnetism and classical physics. It highlights the relationship between Ampere's law and Maxwell's equations, emphasizing that Maxwell's equations unify electricity and magnetism. The conversation also identifies general relativity and thermodynamics as the most universal laws, while noting that laws in materials science, such as Newton's law of viscosity, are more conditional and specific.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Familiarity with Ampere's law
  • Knowledge of general relativity principles
  • Basic concepts of thermodynamics
NEXT STEPS
  • Research the derivation of Maxwell's equations from Ampere's law and Faraday's law of induction
  • Explore the implications of general relativity on modern physics
  • Study the laws of thermodynamics and their applications in various fields
  • Investigate specific laws in materials science and their conditionalities
USEFUL FOR

Physicists, engineering students, and anyone interested in the foundational principles of physics and their applications in both general and specific contexts.

Hallucinogen
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I'd like to ask what the most well-known case is of a formula for a physical law being derived from another (or set of others)?
For example, is there a law for electromagnetism that describes a law of electricity and a law of magnetism, which was derived from combining the two? Or any similar derivation? Does Ampere's law have this kind of relationship with Maxwell's equations?

Another related question is, what are the most well-known "generic" laws of physics which apply everywhere, and which are the most well-known highly specific laws of physics? I'd guess the most generic laws are those of general relativity and thermodynamics, since no physical process is allowed to conflict with them? And I'd guess that laws in materials science are highly specific, as they have multiple conditionalities, for example Newton's law of viscosity. Or laws about forces being applied to specific shapes?

Many thanks
 

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