The Gravitational Aspect of Information: The Physical Reality of Asymmetric "Distance"
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908845326991360 |
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| author | Koide, Tomoi van de Venn, Armin |
| author_facet | Koide, Tomoi van de Venn, Armin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_22664 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Gravitational Aspect of Information: The Physical Reality of Asymmetric "Distance" Koide, Tomoi van de Venn, Armin Statistical Mechanics Information Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Statistics Theory Quantum Physics 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. |
| title | The Gravitational Aspect of Information: The Physical Reality of Asymmetric "Distance" |
| topic | Statistical Mechanics Information Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Statistics Theory Quantum Physics |
| url | https://arxiv.org/abs/2510.22664 |