# PlanetPhysics/Applications Topic on Mathematical Physics and Physical Mathematics

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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[edit | edit source]

- 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:

- 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