Causality and the arrow of time in the branch‐cut cosmology

We basis our initial analysis of the arrow of time on a relationship between the time evolution operator of quantum system and the time‐independent density operator, which describes the equilibrium state of a many‐particle system at temperature T$$ T $$. We highlight through this analysis the identi...

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Bibliographic Details
Published in:Astronomische Nachrichten 2023-01, Vol.344 (1-2), p.n/a
Main Authors: Bodmann, Benno, Zen Vasconcellos, César A., Freitas Pacheco, José, Hess, Peter O., Hadjimichef, Dimiter
Format: Article
Language:English
Subjects:
arrow of time
Bekenstein criterion
branch‐cut cosmology
Causality
Evolution
Form factors
Quantum theory
Universe
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Summary:We basis our initial analysis of the arrow of time on a relationship between the time evolution operator of quantum system and the time‐independent density operator, which describes the equilibrium state of a many‐particle system at temperature T$$ T $$. We highlight through this analysis the identification of the imaginary temporal component of the branch‐cut complex cosmic form factor with the direction in which the time parameter flows globally, or the arrow of time. As a novelty, in this work, we calculate the number of branches in the branch‐cut universe to achieve causality involving the global time of evolution of the universe and the local time of travel of the light around each Hubble horizon. The preliminary result obtained is comparable to 60 e‐folds of contraction in the FLRW cosmic scale factor a(t)$$ a(t) $$ to overcome causality achieved in the bouncing model.
ISSN:0004-6337
1521-3994
DOI:10.1002/asna.20220086