Fisher's arrow of `time' in cosmological coherent phase space

Details Fisher's arrow of `time' in cosmological coherent phase space Fisher's arrow of `time' in cosmological coherent phase space

1997-03-19

arxiv.org/abs/gr-qc/9703051v4

Mod.Phys.Lett. A13 (1998) 39-46

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, LaTex, Honorable Mention at GRF-1997

Scientific paper

10.1142/S0217732398000073

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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