Fisher's arrow of `time' in cosmological coherent phase space
B. Roy Frieden, H.C. Rosu
TL;DR
This paper introduces a Fisher-based arrow of time in cosmological phase space, modeling universe evolution from squeezed to thermal states using a Fokker-Planck equation and applying it to stochastic inflation.
Contribution
It proposes a novel Fisher entropy-based arrow of time in cosmology using quantum optics phase space concepts, linking quantum states to universe evolution.
Findings
Derived a Fokker-Planck equation for cosmological phase space
Defined a Fisher entropy-based arrow of time in cosmology
Applied the framework to stochastic inflation models
Abstract
Fisher's arrow of `time' in a cosmological phase space defined as in quantum optics (i.e., whose points are coherent states) is introduced as follows. Assuming that the phase space evolution of the universe starts from an initial squeezed cosmological state towards a final thermal one, a Fokker-Planck equation for the time-dependent, cosmological Q phase space probability distribution can be written down. Next, using some recent results in the literature, we derive an information arrow of time for the Fisher phase space cosmological entropy based on the Q function. We also mention the application of Fisher's arrow of time to stochastic inflation models
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