This is a contributed topic on major areas in theoretical and mathematical physics.

Mathematical and theoretical physics

Major, suggested areas are:

1. Netwon's theory of Gravitation
2. photoelectric effect and Einstein's explanation/ formulae
3. Einstein's special relativity theory
4. Einstein's General Relativity theory
5. quantum mechanics;
6. quantum field theories (QFT), TQFT and HQFT
7. algebraic and Axiomatic Quantum Field Theories (AQFT)
8. quantum electrodynamics (QED)
9. Quantum Chromodynamics (QCD)
10. quantum gravity (QG)
11. quantum automata and Quantum Computing
12. non-Abelian gauge theories
13. Non-Abelian Quantum Algebraic Topology
14. Standard Model (SUSY)
15. non-commutative geometry in QG and SUSY
16. supersymmetry and supergravity theories
17. Harmonic oscillator and coupled oscillator theories;
18. fluid dynamics and Rheology;
19. Kinetic theory of gases and Classical statistical mechanics
20. quantum statistical mechanics (QS)
21. Theories in High energy physics and Elementary Particles
22. Ergodic systems Information theory and Irreversible Thermodynamics
23. Complex system dynamics (CSD)
24. Functional Analysis
25. Chaotic Systems and Chaos
26. non-Newtonian calculi
27. Mathematical and theoretical biophysics
28. Solid-State Theories: Semiconductors, Hall effect,Josephson effect, etc.
29. Theories of superconductivity and superconductors
30. Symmetry and quantum group theories
31. Paracrystals and paracrystal theory
32. Theories of Noncrystalline materials and glasses
33. Theories of Phase Transitions and Symmetry Breaking
34. Ax
35. Ay
36. Az

References/ Bibliography

Bibliography

1

Weinberg, Stephen.: 1995, The Quantum Theory of Fields, vols. 1 to 3, Cambridge Univ. Press.