PlanetPhysics/Applications Topic on Mathematical Physics and Physical Mathematics

This is a contributed new topic on [[../PhysicalMathematics2/|mathematical physics]], physical mathematics, and their various applications in: engineering, industry, medical biophysics, cosmology, astrophysics, astronomy, [[../SupercomputerArchitercture/|computer]] science, computer engineering, robotics, AI, ecology, market prediction, etc.

Mathematical Physics and Physical Mathematics

1. Non-Equilibrium [[../Thermodynamics/|Thermodynamics]] and [[../ThermodynamicLaws/|statistical mechanics]] #Theoretical Geophysics
2. Astrophysics, Cosmology, Geometrodynamics and [[../SR/|general relativity]] theories
3. [[../LQG2/|quantum gravity]] #[[../LQG2/|quantum logics]], including LM-logic algebras
4. Quantum State Spaces, [[../QuantumOperatorAlgebra5/|quantum operators]], Superoperators, [[../QuantumSpinNetworkFunctor2/|observables]], Eigenstates
5. [[../Hamiltonian2/|Hamiltonians]] and other Hermitian [[../QuantumOperatorAlgebra4/|operators]] #[[../CosmologicalConstant/|Algebraic Quantum Field Theory]] #[[../TriangulationMethodsForQuantizedSpacetimes2/|Quantum Algebraic Topology]] (QAT)
6. Quantum Operator Algebra (QOA) in [[../SpaceTimeQuantizationInQuantumGravityTheories/|quantum field theories]] and quantum gravity
7. Quantum [[../TrivialGroupoid/|groups]], [[../QuantumGroup4/|Hopf algebras]], Quantum [[../NewtonianMechanics/|supergroups]] and [[../NewtonianMechanics/|superalgebras]] #[[../CoIntersections/|topological]] Quantum Field theories
8. [[../ThinEquivalence/|homotopy]] Quantum Field theories (HQFT)
9. [[../AbelianCategory3/|non-Abelian]] physics (NAP)
10. Unified Field theories (UFT) in physics, [[../AntiCommutationRelations/|supersymmetry]] and [[../LongRangeCoupling/|spontaneous symmetry breaking]] #[[../NonNewtonian2/|CPT]] symmetry and [[../ExamplesOfConstantsOfTheMotion/|parity]] Violation
11. Quantum Chromodynamics, [[../ExtendedQuantumSymmetries/|quarks]], [[../QuarkAntiquarkPair/|parton]] distributions, nuclear [[../QuarkAntiquarkPair/|spin]] structures and theories of Nuclear Fusion
12. Elementary [[../Particle/|particle]] theories and [[../Neutralinos/|Higgs bosons]]
13. Conformal Map theory (CMT)
14. Quantum Geometry (QNG) and [[../NAQAT2/|non-commutative geometry]] (NCG) applications to [[../SUSY4/|SUSY]] model in physics
15. Harmonic and Anharmonic analysis of quantum [[../SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence/|systems]]:

$(http://www.physics.orst.edu/rubin/nacphy/ComPhys/classical/anharm/).$

1. Bibliography for mathematical physics and quantum algebraic topology
2. Geometry and Group theory applications to Mathematical Crystallography
3. [[../ECartan/|spinors]] and [[../Spin4/|spin groups]], [[../SimplicialCWComplex/|spin networks]], Foams, [[../Vectors/|vectors]], [[../Matrix/|matrices]], [[../Tensor/|tensors]] and Twistors
4. Complex Systems Structure and [[../NewtonianMechanics/|dynamics]] #[[../Soliton/|solitons]] and semi-classical systems
5. Systems with Chaos
6. Topological Dynamics
7. Biotopology and Topology applications in biology, Non-random Networks: cellular, neural and genetic
8. [[../LQG2/|fluid dynamics]] #[[../QuantumStatisticalTheories/|superfluids]] and [[../QuantumStatisticalTheories/|superconductivity]]: low- and high- [[../BoltzmannConstant/|temperature]] mechanisms
9. Nob-crystalline systems, Paracrystals and [[../LongRangeCoupling/|glasses]] #[[../CategoricalPhysics2/|categorical physics]] and [[../Cod/|categories/]] in biology
10. Categorical dynamics and Biodynamics
11. Physical vs. Mathematical probability
12. Applied Statistical Mechanics
13. Numerical analysis and Measurement theory in physics
14. Biostatistics
15. Bibliography for statistical mechanics
16. Bibliography for mathematical physics and quantum algebraic topology
17. [[../LQG2/|Computational Physics]] and astrophysics
18. Computer models and [[../LQG2/|automata theory]] in Biology and Medicine
19. Mathematical Medicine and Epidemiological models
20. [[../QuantumComputers/|quantum automata]] and [[../LongRangeCoupling/|quantum computers]] #Quantum Nanoautomata and [[../QuantumNanoautomaton/|nanorobots]] #Mathematics in natural/Life sciences
21. [[../TheoreticalBiophysics/|mathematical biology and theoretical biophysics]] #Mathematical Biophysics
22. [[../BibliographyForMathematicalBiophysics/|bibliography for mathematical biophysics]] #Mathematics of Finance and Market predictions
23. Mathematical and mathematical physics applications to Population Genetics
24. Quantum Genetics and Bioinformatics
25. Mathematics applications in Electrical Engineering and Bioengineering
26. Mathematical Physics and Physical Mathematics models applications in Geophysics and Ecology
27. Mathematical physics and physical mathematics models in [[../CosmologicalConstant2/|energy]] Science and Engineering, Alternative Energy mathematical models and theories