dorsal/arxiv
View SchemaProbability of intrinsic time-arrow from information loss
| Authors | Lajos Diosi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302183 |
| URL | https://arxiv.org/abs/quant-ph/0302183 |
| DOI | 10.1007/978-3-540-40968-7_10 |
| Journal | Lect.Notes Phys. 633 (2004) 125-135 |
Abstract
Time-arrow $s=+/-$, intrinsic to a concrete physical system, is associated with the direction of information loss $\Delta I$ displayed by the random evolution of the given system. When the information loss tends to zero the intrinsic time-arrow becomes uncertain. We propose the heuristic relationship $1/[1+exp(-s\Delta I)]$ for the probability of the intrinsic time-arrow. The main parts of the present work are trying to confirm this heuristic equation. The probability of intrinsic time arrow is defined by Bayesian inference from the observed random process. From irreversible thermodynamic systems, the proposed heuristic probabilities follow via the Gallavotti-Cohen relations between time-reversed random processes. In order to explore the underlying microscopic mechanism, a trivial microscopic process is analyzed and an obvious discrepancy is identified. It can be resolved by quantum theory. The corresponding trivial quantum process will exactly confirm the proposed heuristic time-arrow probability.
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"abstract": "Time-arrow $s=+/-$, intrinsic to a concrete physical system, is associated\nwith the direction of information loss $\\Delta I$ displayed by the random\nevolution of the given system. When the information loss tends to zero the\nintrinsic time-arrow becomes uncertain. We propose the heuristic relationship\n$1/[1+exp(-s\\Delta I)]$ for the probability of the intrinsic time-arrow. The\nmain parts of the present work are trying to confirm this heuristic equation.\nThe probability of intrinsic time arrow is defined by Bayesian inference from\nthe observed random process. From irreversible thermodynamic systems, the\nproposed heuristic probabilities follow via the Gallavotti-Cohen relations\nbetween time-reversed random processes. In order to explore the underlying\nmicroscopic mechanism, a trivial microscopic process is analyzed and an obvious\ndiscrepancy is identified. It can be resolved by quantum theory. The\ncorresponding trivial quantum process will exactly confirm the proposed\nheuristic time-arrow probability.",
"arxiv_id": "quant-ph/0302183",
"authors": [
"Lajos Diosi"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"gr-qc"
],
"doi": "10.1007/978-3-540-40968-7_10",
"journal_ref": "Lect.Notes Phys. 633 (2004) 125-135",
"title": "Probability of intrinsic time-arrow from information loss",
"url": "https://arxiv.org/abs/quant-ph/0302183"
},
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