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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19025445 |
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Table of 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>