Axioms of Physics
AxiomsOfPhysics
2010-06-05 10:32:57
2010-10-31 20:17:13
Topic
\begin{thebibliography}{99}
\bibitem{IN1}
Isaac Newton. 1686.\emph{Principles of Natural
Philosophy}.
\bibitem{IN2}
``Works of Sir Isaac Newton--Isaaci Newtoni Opera
quae exstant omnia"
\bibitem{AE1}
Albert Einstein. 1956. \emph{Relativity Theory}. NL
\bibitem{IN2}
Dirac, Paul A.M. 1958. \emph{Principles of Quantum
Mechanics}. NL
\bibitem{IN2}
Richard Feynman. 1965. \emph{Lecture Notes in
Physics}. NL
\bibitem{IN2}
Stephen Weinberg. 1994. \emph{Quantum FieldTheory}.
NL
\bibitem{ESKGM65}
Eilenberg, S., and Kelly, G.M., Closed Categories,
\emph{Proceedings of the Conference on Categorical
Algebra} (La Jolla 1965), Springer Verlag 1966.
\bibitem{ESML45}
Eilenberg, S., and Mac Lane, S., General Theory of
Natural Equivalences, \emph{Trans. Amer. Math.
Soc.} 58, 231--294 (1945).
\bibitem{KDM1}
Kan, D. M., Adjoint Functors, Trans. Amer. Math.
Soc. 87, 294--329 (1958).
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Theories, Proc. Nat. Acad. Sc. U.S.A. 50, 869--872
(1963).
\bibitem{LFW66}
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,
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\end{thebibliography}
physics axioms
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
axioms
foundations of physics
theoretical physics
QFT
AQFT
TQFT
General Relativity theory
A contributed topic on the Axioms of Physics in the following areas:
\begin{enumerate}
\item General Relativity Theory
\item Axiomatic and Algebraic Quantum Field Theory
\item Quantum Algebraic Topology
\item Topological Quantum Field Theory (TQFT) and HQFT*
\item Quantum Logics and Quantum Computing
\item Symmetry and Physical Principles and Laws
\item Categorical Physics: category theory and groupoid/algebraic topology applications in Physics
\item Physical Networks and General Dynamics
\end{enumerate}
* Homotopy and Quantum Field Theory
\subsection{Fundamental Concepts in Physics}
\begin{enumerate}
\item Space, $S$
\item Time, $t$
\item Spacetime, $ST$
\item Reference System or Frame of Reference ($RS$)
\item Motion
\item Measurement
\item Observable
\item Universal constants: Planck's constant ($h$, the speed of light, $c$, gravitational constant, $G$; hyperfine constant, $e$; cosmological constant, $L$
\item Matter
\item Mass
\item Particle
\item Elementary Particles and Quarks
\item Energy: Conservation Laws, Hamiltonian Operator, energy eigenvalues. eigenstates, Lagrangian, Photons/Electromagnetic radiation
\item Fields: Electromagnetic, magnetic, electrical; nuclear; gravitational
\item Gravity
\item String/strings
\item Oscillatory motion, Oscillation, Periodic and Quasi-periodic motions
\item Wave
\item WaveFunction, Hermitian Operator, non-Hermitian operator, Super-operator, Prigogine Time operator
\item Period of oscillation
\item Frequency
\item Oscillation
\item Force
\item Reaction force
\item Interactions: Strong Interactions: quark-quark, quark-pair, quark-gluon, gluon-gluon interactions, etc; Electromagnetic Interactions, Electro-weak interactions, gravitational interactions and gravitons
\item Potential
\item virtual particles
\item Kinetics and Dynamics, Chaotic Dynamics, Quantum Dynamics
\item System: closed, open, dynamic; classical or Newtonian, mechanical, relativistic, thermodynamic, quantum; simple, chaotic, complex, super-complex, ultra-complex, hyper-complex
\item Dynamical System
\item Entropy
\item Mechanical Work
\item Temperature
\item Heat, $Q$
\item Enthalpy, $H$
\item Partition Function, $Z$
\end{enumerate}