
TL;DR
This paper explores a toy universe with exotic topology, demonstrating that quantum field content can lead to consistent semi-classical equations with entropy reversals, linking thermodynamic and cosmological arrows of time.
Contribution
It introduces a specific quantum field setup in an $S^1 \times S^3$ universe that ensures consistency of semi-classical equations with periodic time, supporting entropy reversal cycles.
Findings
Semi-classical Friedman equations are consistent with periodic time in the toy universe.
Entropy reversals occur during each cycle, aligning thermodynamic and cosmological arrows of time.
The model supports a universe with exotic topology and cyclic behavior.
Abstract
We consider a toy FRW universe with the exotic topology . We show that for a specific choice of quantum field content, the semi-classical Friedman equations are consistent with temporal periodicity as required by the timelike factor. A straightforward consequence is that entropy reversals occur during each cycle, consistent with Hawking's proposed connection between the thermodynamic and cosmological arrows of time.
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