Reality as a Vector in Hilbert Space

• URL: http://arxiv.org/abs/2103.09780v1
• Date: Wed, 17 Mar 2021 17:07:14 GMT
• Title: Reality as a Vector in Hilbert Space
• Authors: Sean M. Carroll
• Abstract summary: I defend the extremist position that the fundamental ontology of the world consists of a vector in Hilbert space evolving according to the Schr"odinger equation. The structure of our observed world, including space and fields living within it, should arise as a higher-level emergent description.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: I defend the extremist position that the fundamental ontology of the world consists of a vector in Hilbert space evolving according to the Schr\"odinger 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.

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