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- W4301004549 abstract "In our model of quantum gravity the quantum development of a Cauchy hypersurface is governed by a wave equation derived as the result of a canonical quantization process. To find physically interesting solutions of the wave equation we employ the separation of variables by considering a temporal eigenvalue problem which has a complete countable set of eigenfunctions with positive eigenvalues and also a spatial eigenvalue problem which has a complete set of eigendistributions. Assuming that the Cauchy hypersurface is asymtotically Euclidean we prove that the temporal eigenvalues are also spatial eigenvalues and the product of corresponding eigenfunctions and eigendistributions, which will be smooth functions with polynomial growth, are the physically interesting solutions of the wave equation. We consider these solutions to describe the quantum development of the Cauchy hypersurface." @default.
- W4301004549 created "2022-10-04" @default.
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- W4301004549 date "2016-12-11" @default.
- W4301004549 modified "2023-09-23" @default.
- W4301004549 title "The quantum development of an asymptotically Euclidean Cauchy hypersurface" @default.
- W4301004549 doi "https://doi.org/10.48550/arxiv.1612.03469" @default.
- W4301004549 hasPublicationYear "2016" @default.
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