The Universe as a driven quantum system: Unbounded heating in cyclic
cosmologies
- URL: http://arxiv.org/abs/2109.01660v1
- Date: Thu, 2 Sep 2021 15:29:37 GMT
- Title: The Universe as a driven quantum system: Unbounded heating in cyclic
cosmologies
- Authors: J. P. P. Vieira
- Abstract summary: The Hamiltonian of an evolving Universe is shown to be formally equivalent to that of a driven quantum system.
It is shown that periodic cyclic cosmologies are generically prohibited due to their correspondence with periodically-driven quantum systems.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The Hamiltonian of an evolving Universe is shown to be formally equivalent to
that of a driven quantum system, whose driving follows from the temporal
dependence of the spacetime metric. This analogy allows insights from the field
of driven quantum systems to be applied to cosmological settings. In
particular, it is shown that periodic cyclic cosmologies are generically
prohibited (except under certain limiting constraints) due to their
correspondence with periodically-driven quantum systems (which are typically
expected to experience unbounded heating in the infinite future). This result
highlights how future work on non-periodically-driven quantum systems is
required to fully describe the dynamics of more general cyclic cosmologies (for
which a qualitative picture is briefly discussed).
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