{"ID":2850035,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2510.22664","arxiv_id":"2510.22664","title":"The Gravitational Aspect of Information: The Physical Reality of Asymmetric \"Distance\"","abstract":"We show that when a Brownian bridge is physically constrained to satisfy a canonical condition, its time evolution exactly coincides with an m-geodesic on the statistical manifold of Gaussian distributions. This identification provides a direct physical realization of a geometric concept in information geometry. It implies that purely random processes evolve along informationally straight trajectories, analogous to geodesics in general relativity. Our findings suggest that the asymmetry of informational ``distance\" (divergence) plays a fundamental physical role, offering a concrete step toward an equivalence principle for information.","short_abstract":"We show that when a Brownian bridge is physically constrained to satisfy a canonical condition, its time evolution exactly coincides with an m-geodesic on the statistical manifold of Gaussian distributions. This identification provides a direct physical realization of a geometric concept in information geometry. It imp...","url_abs":"https://arxiv.org/abs/2510.22664","url_pdf":"https://arxiv.org/pdf/2510.22664v4","authors":"[\"Tomoi Koide\",\"Armin van de Venn\"]","published":"2025-10-26T13:02:07Z","proceeding":"cond-mat.stat-mech","tasks":"[\"cond-mat.stat-mech\",\"cs.IT\",\"gr-qc\",\"hep-ph\",\"math.ST\",\"quant-ph\"]","methods":"[]","has_code":false}