Search results for "Doubly special relativity"

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Quantum groups and deformed special relativity

1994

The structure and properties of possible $q$-Minkowski spaces is discussed, and the corresponding non-commutative differential calculi are developed in detail and compared with already existing proposals. This is done by stressing its covariance properties as described by appropriate reflection equations. Some isomorphisms among the space-time and derivative algebras are demonstrated, and their representations are described briefly. Finally, some physical consequences and open problems are discussed.

High Energy Physics - TheoryPure mathematicsLorentz transformationStructure (category theory)FOS: Physical sciencesCovariancesymbols.namesakeReflection (mathematics)High Energy Physics - Theory (hep-th)Doubly special relativitysymbolsDifferential (infinitesimal)QuantumMathematics
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The Mathematicians’ Happy Hunting Ground: Einstein’s General Theory of Relativity

2004

There is hardly any doubt that for physics special relativity theory is of much greater consequence than the general theory. The reverse situation prevails with respect to mathematics: there special relativity theory had comparatively little, general relativity theory very considerable, influence, above all upon the development of a general scheme for differential geometry. —Hermann Weyl, “Relativity as a Stimulus to Mathematical Research,” pp. 536–537.

Theoretical physicsTheory of relativityHistory and Philosophy of ScienceStatic interpretation of timeDoubly special relativityGeneral MathematicsQuantum mechanicsAbsolute time and spaceFour-forceTest theories of special relativityEmission theorySpecial relativity (alternative formulations)MathematicsThe Mathematical Intelligencer
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