Phys. Rev. D 19, 2336–2348 (1979)Quantizing space-timeReceived 5 June 1978; published in the issue dated 15 April 1979 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 h→0. The conclusion is drawn that neither space nor time themselves can be regarded as fundamental. © 1979 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.19.2336
DOI:
10.1103/PhysRevD.19.2336
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