Related papers: Conditions for Unitarity in Timeless Quantum Theory

Conditions for Unitarity in Timeless Quantum Theory

URL: http://arxiv.org/abs/2504.01579v1
Date: Wed, 02 Apr 2025 10:31:25 GMT
Title: Conditions for Unitarity in Timeless Quantum Theory
Authors: Simone Rijavec,
Abstract summary: This work derives necessary and sufficient conditions for the relative dynamics to be unitary.<n>A physical interpretation of these conditions is given in terms of the clock's rate.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Quantum timeless approaches solve the problem of time by recovering the usual unitary evolution of quantum theory relative to a clock in a stationary quantum Universe. For some Hamiltonians of the Universe, such as those including an interaction term with the clock, the dynamics is substantially altered and can be non-unitary. This work derives necessary and sufficient conditions for the relative dynamics to be unitary and finds the general form of the unitary evolution operator. A physical interpretation of these conditions is given in terms of the clock's rate. Unitary dynamics is associated with rates that are constant in time and independent of the clock's internal structure.

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