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Main Author: Bashan, Nadav
Format: Recurso digital
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Published: Zenodo 2026
Online Access:https://doi.org/10.5281/zenodo.19025445
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author Bashan, Nadav
author_facet Bashan, Nadav
contents <p>The origin of the macroscopic arrow of time remains difficult to reconcile with the time-symmetric structure of fundamental dynamical laws.</p> <p>Within a continuous three-dimensional bulk, microscopic evolution preserves information and admits formally reversible dynamics.</p> <p>Macroscopic observation, however, accesses not the full bulk state but only information transmitted through a radiative boundary.</p> <p>In the present framework, boundary transmission is constrained by a finite geometric invariant,</p> <p>π³/15.</p> <p>An effective map from bulk states to boundary-accessible states is then introduced.</p> <p>If distinct bulk configurations yield the same boundary state under this finite constraint, the readout map is noninjective and lacks a unique inverse on its image.</p> <p>Retrodiction from accessible states is therefore not uniquely defined, even when the underlying bulk dynamics remain reversible.</p> <p>The macroscopic arrow of time is accordingly formulated as an effective consequence of boundary-constrained information transfer rather than as a breakdown of microscopic reversibility.</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_19025445
institution Zenodo
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publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle The Arrow of Time from Boundary Information Transfer
Bashan, Nadav
<p>The origin of the macroscopic arrow of time remains difficult to reconcile with the time-symmetric structure of fundamental dynamical laws.</p> <p>Within a continuous three-dimensional bulk, microscopic evolution preserves information and admits formally reversible dynamics.</p> <p>Macroscopic observation, however, accesses not the full bulk state but only information transmitted through a radiative boundary.</p> <p>In the present framework, boundary transmission is constrained by a finite geometric invariant,</p> <p>π³/15.</p> <p>An effective map from bulk states to boundary-accessible states is then introduced.</p> <p>If distinct bulk configurations yield the same boundary state under this finite constraint, the readout map is noninjective and lacks a unique inverse on its image.</p> <p>Retrodiction from accessible states is therefore not uniquely defined, even when the underlying bulk dynamics remain reversible.</p> <p>The macroscopic arrow of time is accordingly formulated as an effective consequence of boundary-constrained information transfer rather than as a breakdown of microscopic reversibility.</p>
title The Arrow of Time from Boundary Information Transfer
url https://doi.org/10.5281/zenodo.19025445