Quantizing space-time

J. G. Taylor
Phys. Rev. D 19, 2336 – Published 15 April 1979
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Abstract

We outline a theory of space-time based on quantum mechanics and general covariance. The universe is assumed to be constructed from a non-affinely-connected differentiable manifold and acts as the arena for the dynamical forms which can be supported by it. There are only a restricted set of such forms, corresponding to particles of spin up to 2, and only a restricted set of particle symmetries [octonions combined with de Sitter symmetry broken to O(4)]. Quantum mechanics is fomulated covariantly by the functional integral method, and space and time as usually experienced is reconstructed by the classical limit of h0. The conclusion is drawn that neither space nor time themselves can be regarded as fundamental.

  • Received 5 June 1978

DOI:https://doi.org/10.1103/PhysRevD.19.2336

©1979 American Physical Society

Authors & Affiliations

J. G. Taylor

  • Department of Mathematics, King's College, London

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Issue

Vol. 19, Iss. 8 — 15 April 1979

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