|
|
|
|
quantum space-times
|
(Topic)
|
|
|
This is a contributed topic on quantum space-times viewed from general relativistic and quantum gravity standpoints, and includes, for example, quantum geometry fundamental notions.
The concept of quantum space-times (QST) is fundamental to the development of relativistic quantum theories and at this point it can only be broadly defined as a class of mathematical spaces that allow the construction of quantum physical theories in a manner consistent with both relativistic principles and quantum
gravity. There is no universal agreement amongst either theoretical physicists or mathematicians who work on Physical Mathematics about either a specific definition of such quantum space-times or how to develop a valid classification theory of quantum space-times. However, several specific definitions or models were proposed and a list of such examples is presented next.
|
"quantum space-times" is owned by bci1. [ full author list (2) ]
|
|
(view preamble | get metadata)
See Also: quantum fundamental groupoid, quantum groupoids, quantum groups, quantum system, quantum electrodynamics, Hamiltonian operator, quantum chromodynamics (QCD), quantum automata and computation, quantization, quantum electrodynamics, spin networks and spin foams, theorem on  -complex approximation of quantum state spaces in QAT, quantum groups and von Neumann algebras, quantum groups and von Neumann algebras, Einstein field equations, H * -algebra, quantum chromodynamics (QCD)
| Other names: |
QST, quantum state spaces, quantum spaces |
| Also defines: |
quantum space-time structure, QST |
| Keywords: |
quantum state spaces, quantum spaces, quantum system, the fundamental concept of quantum theories, QuantumFundamentalGroupoid, QuantumGroupoids, QuantumGroups, QuantumSystem, Quantum Electrodynamics, Hamiltonian Operator, QCD or QuantumChromodynamics |
|
|
Cross-references: representations, strings, categories, locally compact, quantum category, dimension, fractal, loops, lattice, fields, algebraic, operators, nets, presheaves, tangent spaces, Riemannian manifolds, noncommutative geometry, noncommutative, homotopy, TQFTs, quantum field theories, subobject classifier, logic algebra, topoi, posets, definitions, valid, universal, consistent, theories, class, point, quantum theories, development, quantum geometry
There are 13 references to this entry.
This is version 25 of quantum space-times, born on 2008-07-25, modified 2009-05-19.
Object id is 10866, canonical name is QuantumSpaceTimes.
Accessed 1943 times total.
Classification:
| AMS MSC: | 81P05 (Quantum theory :: Axiomatics, foundations, philosophy :: General and philosophical) | | | 83C45 (Relativity and gravitational theory :: General relativity :: Quantization of the gravitational field) | | | 83C75 (Relativity and gravitational theory :: General relativity :: Space-time singularities, cosmic censorship, etc.) | | | 83C47 (Relativity and gravitational theory :: General relativity :: Methods of quantum field theory) | | | 81P10 (Quantum theory :: Axiomatics, foundations, philosophy :: Logical foundations of quantum mechanics; quantum logic) | | | 81R50 (Quantum theory :: Groups and algebras in quantum theory :: Quantum groups and related algebraic methods) | | | 81R60 (Quantum theory :: Groups and algebras in quantum theory :: Noncommutative geometry) |
|
|
|
|
|
|
Pending Errata and Addenda
|
|
|
|
|
|
|
|
|
|
|
