# PlanetPhysics/Applications Topic on Mathematical Physics and Physical Mathematics

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

### Mathematical Physics and Physical Mathematics

* Non-Equilibrium Thermodynamics and statistical mechanics #Theoretical Geophysics
* Astrophysics, Cosmology, Geometrodynamics and general relativity theories
* quantum gravity #quantum logics, including LM-logic algebras
* Quantum State Spaces, quantum operators, Superoperators, observables, Eigenstates
* Hamiltonians and other Hermitian operators #Algebraic Quantum Field Theory #Quantum Algebraic Topology (QAT)
* Quantum Operator Algebra (QOA) in quantum field theories and quantum gravity
* Quantum groups, Hopf algebras, Quantum supergroups and superalgebras #topological Quantum Field theories
* homotopy Quantum Field theories (HQFT)
* non-Abelian physics (NAP)
* Unified Field theories (UFT) in physics, supersymmetry and spontaneous symmetry breaking #CPT symmetry and parity Violation
* Quantum Chromodynamics, quarks, parton distributions, nuclear spin structures and theories of Nuclear Fusion
* Elementary particle theories and Higgs bosons
* Conformal Map theory (CMT)
* Quantum Geometry (QNG) and non-commutative geometry (NCG) applications to SUSY model in physics
* Harmonic and Anharmonic analysis of quantum systems:
$(\;http://www.physics.orst.edu/~rubin/nacphy/ComPhys/classical/anharm/\;).$
* Bibliography for mathematical physics and quantum algebraic topology
* Geometry and Group theory applications to Mathematical Crystallography
* spinors and spin groups, spin networks, Foams, vectors, matrices, tensors and Twistors
* Complex Systems Structure and dynamics #solitons and semi-classical systems
* Systems with Chaos
* Topological Dynamics
* Biotopology and Topology applications in biology, Non-random Networks: cellular, neural and genetic
* fluid dynamics #superfluids and superconductivity: low- and high- temperature mechanisms
* Nob-crystalline systems, Paracrystals and glasses #categorical physics and categories/ in biology
* Categorical dynamics and Biodynamics
* Physical vs. Mathematical probability
* Applied Statistical Mechanics
* Numerical analysis and Measurement theory in physics
* Biostatistics
* Bibliography for statistical mechanics
* Bibliography for mathematical physics and quantum algebraic topology
* Computational Physics and astrophysics
* Computer models and automata theory in Biology and Medicine
* Mathematical Medicine and Epidemiological models
* quantum automata and quantum computers #Quantum Nanoautomata and nanorobots #Mathematics in natural/Life sciences
* mathematical biology and theoretical biophysics #Mathematical Biophysics
* bibliography for mathematical biophysics #Mathematics of Finance and Market predictions
* Mathematical and mathematical physics applications to Population Genetics
* Quantum Genetics and Bioinformatics
* Mathematics applications in Electrical Engineering and Bioengineering
* Mathematical Physics and Physical Mathematics models applications in Geophysics and Ecology
* Mathematical physics and physical mathematics models in energy Science and Engineering, Alternative Energy mathematical models and theories