Carroll, Sean M. (2021) Reality as a Vector in Hilbert Space. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20210323-141639318
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Abstract
I defend the extremist position that the fundamental ontology of the world consists of a vector in Hilbert space evolving according to the Schrödinger equation. The laws of physics are determined solely by the energy eigenspectrum of the Hamiltonian. The structure of our observed world, including space and fields living within it, should arise as a higher-level emergent description. I sketch how this might come about, although much work remains to be done.
| Item Type: | Report or Paper (Discussion Paper) | ||||||||
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| Additional Information: | Report number: CALT-TH-2021-010. It is a pleasure to thank Ashmeet Singh, Charles Cao, Spiros Mikhalakis, and Ning Bao for collaboration on some of the work described here. This research is funded in part by the Walter Burke Institute for Theoretical Physics at Caltech, by DOE grant DE-SC0011632, and by the Foundational Questions Institute. | ||||||||
| Group: | Walter Burke Institute for Theoretical Physics | ||||||||
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| DOI: | 10.48550/arXiv.2103.09780 | ||||||||
| Record Number: | CaltechAUTHORS:20210323-141639318 | ||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20210323-141639318 | ||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||
| ID Code: | 108533 | ||||||||
| Collection: | CaltechAUTHORS | ||||||||
| Deposited By: | Tony Diaz | ||||||||
| Deposited On: | 24 Mar 2021 00:01 | ||||||||
| Last Modified: | 02 Jun 2023 01:16 |
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