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2023

Freeze-free cosmological evolution with a non-monotonic internal clock

Martinez, Luis, Bojowald, Martin, Wendel, Garrett

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Given the lack of an absolute time parameter in general relativistic systems, quantum cosmology often describes the expansion of the universe in terms of relational changes between two degrees of freedom, such as matter and geometry.

However, if clock degrees of freedom (self-)interact non-trivially, they in general have turning points where their momenta vanish.
At and beyond a turning point, the evolution of other degrees of freedom is no longer described directly by changes of the clock parameter because it stops and then turns back, while time is moving forward.
Previous attempts to describe quantum evolution relative to a clock with turning points have failed and led to frozen evolution in which degrees of freedom remain constant while the clock parameter, interpreted directly as a substitute for monotonic time, is being pushed beyond its turning point.

Freeze-free cosmological evolution with a non-monotonic internal clock · Around

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Original
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