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 . 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