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PlanetPhysics/Axioms of Physics

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A contributed topic on the Axioms of Physics * in the following areas:

  1. general relativity Theory
  2. Axiomatic and Algebraic Quantum Field Theory
  3. Quantum Algebraic Topology #topological quantum field theory (TQFT) and HQFT**
  4. quantum logics and Quantum Computing
  5. Symmetry and Physical Principles and Laws
  6. categorical physics: category theory and groupoid/ topology applications in Physics

Physical Networks and General dynamics

Some Fundamental Concepts in Physics

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  1. Space,
  2. Time,
  3. Spacetime,
  4. reference system or Frame of Reference ()
  5. Motion
  6. Measurement
  7. observable #Universal constants: Planck's constant (, the speed of light, , gravitational constant, ; hyperfine constant, ; cosmological constant,
  8. Matter
  9. Mass
  10. Particle
  11. Elementary Particles and quarks #Energy: Conservation Laws, Hamiltonian operator, energy eigenvalues. eigenstates, Lagrangian, Photons/Electromagnetic radiation #Fields: Electromagnetic, magnetic, electrical; nuclear; gravitational
  12. Gravity
  13. String/strings

All Sources

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[1] [2] [3] [2] [2] [2] [4] [5] [6] [7] [7] [8]

References

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  1. ↑ Isaac Newton. 1686.Principles of Natural Philosophy .
  2. ↑ 2.0 2.1 2.2 2.3 ``Works of Sir Isaac Newton--Isaaci Newtoni Opera quae exstant omnia" Cite error: Invalid <ref> tag; name "IN2" defined multiple times with different content
  3. ↑ Albert Einstein. 1956. Relativity Theory . NL
  4. ↑ Eilenberg, S., and Kelly, G.M., Closed Categories, Proceedings of the Conference on Categorical Algebra (La Jolla 1965), Springer Verlag 1966.
  5. ↑ Eilenberg, S., and Mac Lane, S., General Theory of Natural Equivalences, Trans. Amer. Math. Soc. 58, 231--294 (1945).
  6. ↑ Kan, D. M., Adjoint Functors, Trans. Amer. Math. Soc. 87, 294--329 (1958).
  7. ↑ 7.0 7.1 Lawvere, F. W., Functorial Semantics of Algebraic Theories, Proc. Nat. Acad. Sc. U.S.A. ,50 , 869--872 (1963). Cite error: Invalid <ref> tag; name "LFW66" defined multiple times with different content
  8. ↑ Mac Lane, S., Categorical Algebra, Bull. Amer. Math. Soc. , 71, 40--106 (1965).

Remarks

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  • 1. Unlike Mathematical Axioms that have all terms defined mathematically, the Axioms of Physics, oftentimes called "Postulates", are defined in terms of physical concepts that may also relate to measurements and may include basic physical assumptions derived on an experimental and physical-conceptual basis, such as the fundamental axiom of Local Quantum Field Theory, or Axiomatic Quantum Field Theory, also called Algebraic Quantum Field Theory (AQFT), that all quantum measurement and observations involve local interactions in spacetime.
    • 2. Homotopy and Quantum Field Theory
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