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[parent] Axioms of Physics (Topic)

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
  4. topological quantum field theory (TQFT) and HQFT**
  5. quantum logics and Quantum Computing
  6. Symmetry and Physical Principles and Laws
  7. categorical physics: category theory and groupoid/ topology applications in Physics
  8. Physical Networks and General dynamics

Some Fundamental Concepts in Physics

  1. Space, $s$
  2. Time, $t$
  3. Spacetime, $ST$
  4. reference system or Frame of Reference ($RS$)
  5. Motion
  6. Measurement
  7. observable
  8. Universal constants: Planck's constant ($h$, the speed of light, $c$, gravitational constant, $G$; hyperfine constant, $e$; cosmological constant, $\lambda$
  9. Matter
  10. Mass
  11. Particle
  12. Elementary Particles and quarks
  13. Energy: Conservation Laws, Hamiltonian operator, energy eigenvalues. eigenstates, Lagrangian, Photons/Electromagnetic radiation
  14. Fields: Electromagnetic, magnetic, electrical; nuclear; gravitational
  15. Gravity
  16. String/strings

Bibliography

1
Isaac Newton. 1686.Principles of Natural Philosophy.
2
“Works of Sir Isaac Newton–Isaaci Newtoni Opera quae exstant omnia"
3
Albert Einstein. 1956. Relativity Theory. NL
2
Dirac, Paul A.M. 1958. Principles of Quantum Mechanics. NL
2
Richard Feynman. 1965. Lecture Notes in Physics. NL
2
Stephen Weinberg. 1994. Quantum FieldTheory. 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
Lawvere, F. W., Functorial Semantics of Algebraic Theories, Proc. Nat. Acad. Sc. U.S.A.,50, 869–872 (1963).
7
Lawvere, F. W., The Category of Categories as a Foundation for Mathematics, Proceedings of the Conference on Categorical Algebra (La Jolla 1965), Springer Verlag. 1966.

(See also the Review 7332 by J. Isbell, Dec. 1967, Math. Reviews).

8
Mac Lane, S., Categorical Algebra, Bull. Amer. Math. Soc., 71, 40–106 (1965).

Remarks

*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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"Axioms of Physics" is owned by bci1. [ full author list (2) ]

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See Also: Fundamental physical concepts, physical laws

Other names:  fundamentals of physics, physics axioms
Also defines:  physics axioms, local interactions, quantum measurement, Local Quantum Physics, Algebraic Quantum Field Theory, AQFT, Axiomatic Quantum Field Theory, HQFT, fundamental physics concepts, energy, field, wave, mass, universal constant, speed of light, reference frame, Lorentz transformations, Poincare transformations group, Lorentz group of transformations, energy-mass law, quantum fields, gauhe fields, non-Abelian physical theories, motion, universal constant, cosmological constant
Keywords:  axioms, foundations of physics, theoretical physics, QFT, AQFT, TQFT, General Relativity theory

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Cross-references: radiation, Lagrangian, Hamiltonian operator, quarks, observable, reference system, dynamics, groupoid, category theory, categorical physics, quantum logics, TQFT, quantum field theory, topological, quantum algebraic topology, general relativity
There are 194 references to this object.

This is version 15 of Axioms of Physics, born on 2010-06-05, modified 2010-11-09.
Object id is 871, canonical name is AxiomsOfPhysics.
Accessed 2779 times total.

Classification:
Physics Classification: 00. (GENERAL)
 02. (Mathematical methods in physics)
 02.70.-cxx (Computational techniques )
 02.90.+p (Other topics in mathematical methods in physics )
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