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Trapped Ion Quantum Computing

The Gravitational Aspect of Information: The Physical Reality of Asymmetric "Distance"

arXiv
Authors: Tomoi Koide, Armin van de Venn

Year

2025

Paper ID

50735

Status

Preprint

Abstract Read

~2 min

Abstract Words

86

Citations

N/A

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.

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  • 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2510.22664 [2] arXiv https://arxiv.org/abs/2510.22664 [3] Publisher https://arxiv.org/abs/2510.22664

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