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%%% Primary Title: topic on mathematical physics and physical mathematics applications
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\begin{document}
This is a contributed new topic on \htmladdnormallink{mathematical physics}{http://planetphysics.us/encyclopedia/PhysicalMathematics2.html}, physical mathematics, and their various applications in: engineering, industry, medical biophysics, cosmology, astrophysics, astronomy, \htmladdnormallink{computer}{http://planetphysics.us/encyclopedia/SupercomputerArchitercture.html} science, computer engineering, robotics, AI, ecology, market prediction, etc.
\subsection{Mathematical Physics and Physical Mathematics}
\begin{enumerate}
\item Non-Equilibrium \htmladdnormallink{Thermodynamics}{http://planetphysics.us/encyclopedia/Thermodynamics.html} and \htmladdnormallink{statistical mechanics}{http://planetphysics.us/encyclopedia/ThermodynamicLaws.html} \item Theoretical Geophysics
\item Astrophysics, Cosmology, Geometrodynamics and \htmladdnormallink{general relativity}{http://planetphysics.us/encyclopedia/SR.html} theories
\item \htmladdnormallink{quantum gravity}{http://planetphysics.us/encyclopedia/LQG2.html} \item \htmladdnormallink{quantum logics}{http://planetphysics.us/encyclopedia/LQG2.html}, including LM-logic algebras
\item Quantum State Spaces, \htmladdnormallink{quantum operators}{http://planetphysics.us/encyclopedia/QuantumOperatorAlgebra5.html}, Superoperators, \htmladdnormallink{observables}{http://planetphysics.us/encyclopedia/QuantumSpinNetworkFunctor2.html}, Eigenstates
\item \htmladdnormallink{Hamiltonians}{http://planetphysics.us/encyclopedia/Hamiltonian2.html} and other Hermitian \htmladdnormallink{operators}{http://planetphysics.us/encyclopedia/QuantumOperatorAlgebra4.html} \item \htmladdnormallink{Algebraic Quantum Field Theory}{http://planetphysics.us/encyclopedia/CosmologicalConstant.html} \item \htmladdnormallink{Quantum Algebraic Topology}{http://planetphysics.us/encyclopedia/TriangulationMethodsForQuantizedSpacetimes2.html} (QAT)
\item Quantum Operator Algebra (QOA) in \htmladdnormallink{quantum field theories}{http://planetphysics.us/encyclopedia/SpaceTimeQuantizationInQuantumGravityTheories.html} and quantum gravity
\item Quantum \htmladdnormallink{groups}{http://planetphysics.us/encyclopedia/TrivialGroupoid.html}, \htmladdnormallink{Hopf algebras}{http://planetphysics.us/encyclopedia/QuantumGroup4.html}, Quantum \htmladdnormallink{supergroups}{http://planetphysics.us/encyclopedia/NewtonianMechanics.html} and \htmladdnormallink{superalgebras}{http://planetphysics.us/encyclopedia/NewtonianMechanics.html} \item \htmladdnormallink{topological}{http://planetphysics.us/encyclopedia/CoIntersections.html} Quantum Field theories
\item \htmladdnormallink{homotopy}{http://planetphysics.us/encyclopedia/ThinEquivalence.html} Quantum Field theories (HQFT)
\item \htmladdnormallink{non-Abelian}{http://planetphysics.us/encyclopedia/AbelianCategory3.html} physics (NAP)
\item Unified Field theories (UFT) in physics, \htmladdnormallink{supersymmetry}{http://planetphysics.us/encyclopedia/AntiCommutationRelations.html} and \htmladdnormallink{spontaneous symmetry breaking}{http://planetphysics.us/encyclopedia/LongRangeCoupling.html} \item \htmladdnormallink{CPT}{http://planetphysics.us/encyclopedia/NonNewtonian2.html} symmetry and \htmladdnormallink{parity}{http://planetphysics.us/encyclopedia/ExamplesOfConstantsOfTheMotion.html} Violation
\item Quantum Chromodynamics, \htmladdnormallink{quarks}{http://planetphysics.us/encyclopedia/ExtendedQuantumSymmetries.html}, \htmladdnormallink{parton}{http://planetphysics.us/encyclopedia/QuarkAntiquarkPair.html} distributions, nuclear \htmladdnormallink{spin}{http://planetphysics.us/encyclopedia/QuarkAntiquarkPair.html} structures and theories of Nuclear Fusion
\item Elementary \htmladdnormallink{particle}{http://planetphysics.us/encyclopedia/Particle.html} theories and \htmladdnormallink{Higgs bosons}{http://planetphysics.us/encyclopedia/Neutralinos.html}
\item Conformal Map theory (CMT)
\item Quantum Geometry (QNG) and \htmladdnormallink{non-commutative geometry}{http://planetphysics.us/encyclopedia/NAQAT2.html} (NCG) applications to \htmladdnormallink{SUSY}{http://planetphysics.us/encyclopedia/SUSY4.html} model in physics
\item Harmonic and Anharmonic analysis of quantum \htmladdnormallink{systems}{http://planetphysics.us/encyclopedia/SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence.html}:
$$(\; http://www.physics.orst.edu/~rubin/nacphy/ComPhys/classical/anharm/ \; ).$$
\item Bibliography for mathematical physics and quantum algebraic topology
\item Geometry and Group theory applications to Mathematical Crystallography
\item \htmladdnormallink{spinors}{http://planetphysics.us/encyclopedia/ECartan.html} and \htmladdnormallink{spin groups}{http://planetphysics.us/encyclopedia/Spin4.html}, \htmladdnormallink{spin networks}{http://planetphysics.us/encyclopedia/SimplicialCWComplex.html}, Foams, \htmladdnormallink{vectors}{http://planetphysics.us/encyclopedia/Vectors.html}, \htmladdnormallink{matrices}{http://planetphysics.us/encyclopedia/Matrix.html}, \htmladdnormallink{tensors}{http://planetphysics.us/encyclopedia/Tensor.html} and Twistors
\item Complex Systems Structure and \htmladdnormallink{dynamics}{http://planetphysics.us/encyclopedia/NewtonianMechanics.html} \item \htmladdnormallink{solitons}{http://planetphysics.us/encyclopedia/Soliton.html} and semi-classical systems
\item Systems with Chaos
\item Topological Dynamics
\item Biotopology and Topology applications in biology, Non-random Networks: cellular, neural and genetic
\item \htmladdnormallink{fluid dynamics}{http://planetphysics.us/encyclopedia/LQG2.html} \item \htmladdnormallink{superfluids}{http://planetphysics.us/encyclopedia/QuantumStatisticalTheories.html} and \htmladdnormallink{superconductivity}{http://planetphysics.us/encyclopedia/QuantumStatisticalTheories.html}: low- and high- \htmladdnormallink{temperature}{http://planetphysics.us/encyclopedia/BoltzmannConstant.html} mechanisms
\item Nob-crystalline systems, Paracrystals and \htmladdnormallink{glasses}{http://planetphysics.us/encyclopedia/LongRangeCoupling.html} \item \htmladdnormallink{categorical physics}{http://planetphysics.us/encyclopedia/CategoricalPhysics2.html} and \htmladdnormallink{categories/}{http://planetphysics.us/encyclopedia/Cod.html} in biology
\item Categorical dynamics and Biodynamics
\item Physical vs. Mathematical probability
\item Applied Statistical Mechanics
\item Numerical analysis and Measurement theory in physics
\item Biostatistics
\item Bibliography for statistical mechanics
\item Bibliography for mathematical physics and quantum algebraic topology
\item \htmladdnormallink{Computational Physics}{http://planetphysics.us/encyclopedia/LQG2.html} and astrophysics
\item Computer models and \htmladdnormallink{automata theory}{http://planetphysics.us/encyclopedia/LQG2.html} in Biology and Medicine
\item Mathematical Medicine and Epidemiological models
\item \htmladdnormallink{quantum automata}{http://planetphysics.us/encyclopedia/QuantumComputers.html} and \htmladdnormallink{quantum computers}{http://planetphysics.us/encyclopedia/LongRangeCoupling.html} \item Quantum Nanoautomata and \htmladdnormallink{nanorobots}{http://planetphysics.us/encyclopedia/QuantumNanoautomaton.html} \item Mathematics in natural/Life sciences
\item \htmladdnormallink{mathematical biology and theoretical biophysics}{http://planetphysics.us/encyclopedia/TheoreticalBiophysics.html} \item Mathematical Biophysics
\item \htmladdnormallink{bibliography for mathematical biophysics}{http://planetphysics.us/encyclopedia/BibliographyForMathematicalBiophysics.html} \item Mathematics of Finance and Market predictions
\item Mathematical and mathematical physics applications to Population Genetics
\item Quantum Genetics and Bioinformatics
\item Mathematics applications in Electrical Engineering and Bioengineering
\item Mathematical Physics and Physical Mathematics models applications in Geophysics and Ecology
\item Mathematical physics and physical mathematics models in \htmladdnormallink{energy}{http://planetphysics.us/encyclopedia/CosmologicalConstant2.html} Science and Engineering, Alternative Energy mathematical models and theories
\end{enumerate}
\end{document}
