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===CW-complex representation theorems in quantum algebraic topology=== ...2/|quantum spin foams]] based on <math>CW</math>, <math>n</math>-connected models and fundamental theorems.} ...

#[[../LQG2/|quantum gravity]] #[[../LQG2/|quantum logics]], including LM-logic algebras #Quantum State Spaces, [[../QuantumOperatorAlgebra5/|quantum operators]], Superoperators, [[../QuantumSpinNetworkFunctor2/|observables]] ...

===CW-complex representation theorems in quantum operator algebra and quantum algebraic topology=== .../|quantum spin foams]] based on <math>CW</math>-, <math>n</math>-connected models and fundamental theorems.} ...

...pic on [[../SR/|spacetime]] [[../MoyalDeformation/|quantization]] and loop quantum gravity often descibed as quantum geometry. ...

...es2/|quantum spin `foams]]' (QSFs) in an arbitrary [[../QuantumSpaceTimes/|quantum state space (QSS)]], and let <math>(QF_j,QSS_j)</math> be the corresponding ...ubset Z_j</math>, then there exists a sequence of <math>n</math>-connected models <math>(QF_j,Z_j)</math> of ...

...nder consideration as valid candidates for representations of ''[[../LQG2/|quantum logics]]'', as well as for modeling non-linear biodynamics in genetic `nets *Modern quantum logic (MQL) ...

...../SUSY2|QG]]), involves defining a ''[[../Nonabelian Algebraic Topology 3|quantum Riemannian geometry]]''<ref name='AL2k5'>{{ cite web |title=Quantum Geometry and Its Applications ...

...s to [[w:statistical physics|statistical physics]] and [[w:quantum gravity|quantum gravity]]. ...limit of <math>N</math> coupled <math>Q</math>-state [[w:Potts model|Potts models]] in 2d, coupled by the energy, with <math>N\neq 1,2</math> and <math>2<Q<4 ...

I.C. Baianu: 1983, Natural Transformation Models in Molecular Biology., in ''Proceedings of the SIAM Natl. Meet'' ., Denver, I.C. Baianu: 1987a, Computer Models and Automata Theory in Biology and Medicine., in M. Witten (ed.), ...

<math>Classical\;\;\between\;\;Quantum</math> ...Relativity and the Quantum Theory of Radiation are converged providing new models and insights into the nature of gravity. ...

===Quantum automaton and quantum computation=== ...ed as an extension of an [[../SupercomputerArchitercture/|automaton]] with quantum states instead of the sequentially determined states, inputs and outputs of ...

[http://us.metamath.org/qlegif/mmql.html quantum logic using tools available on the internet.] ==Quantum Logic description== ...

...xiomatic approach that starts from symmetry and consistency conditions for quantum fields, and deduces crossing symmetry equations for correlation functions. ...ries beyond conformal symmetry, such as free bosons and Wess-Zumino-Witten models. ...

...rried in discrete quantized packets. This discovery led to the [[w:quantum|quantum]] revolution (and a [[w: Nobel Prize in Physics|Nobel Prize]] for Einstein ==Contrasting the Quantum and Classical Models== ...

...nder consideration as valid candidates for representations of ''[[../LQG2/|quantum logics]]'', as well as for modeling non-linear biodynamics in genetic `nets *Modern quantum logic (MQL) ...

==Quantum Topological Order and Extended Quantum Symmetries== ...sSystemsDynamicAdjointnessAndTopologicalEquivalence/|systems]] and certain quantum (Hall) liquids with long-range coupling symmetry-breaking descriptions of p ...

...n mind and societies in relation to the simpler, physicochemical/molecular/quantum systems. ...s]] in the context of quantum dynamical systems and [[../QuantumComputers/|quantum automata]], as defined in Baianu, 1971a). ...

This topic entry introduces one of the most general mathematical models of living organisms ''OS'' mathematical models were introduced as structures in [[../HigherDimensionalAlgebra2/|higher dim ...

''Functional biology'' is mathematically represented through models of integrated biological [[../Bijective/|functions]] and activities that ar .../NoncommutativeGeometry4/|noncommutative geometry]]'' models of [[../LQG2/|quantum gravity]] seem also to be `consistent with SUSY' (''viz.'' A. Connes, 2004 ...

...word, but in the field of science pedagogy we know very little.</ref> that quantum mechanics can be introduced in a non-mathematical but rigorous way. Centra ...e only in the y direction. It is assumed that there is no friction. This models the famous [[w:Klein-Gordon equation|Klein-Gordon equation]] of a relativis ...