vix.ing · top · new · best · stats · spec

Biconnection Gravity as a Statistical Manifold

2023/05/29 by Damianos Iosifidis, Konstantinos Pallikaris, Iosifidis, Damianos +1 · 1 citation
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Cosmology and Gravitation Theories #FOS: Computer and information sciences #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Information Theory (cs.IT) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2305.18537

openalex publication_date 2023/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We formulate a bi-Connection Theory of Gravity whose Gravitational action consists of a recently defined mutual curvature scalar. Namely, we build a gravitational theory consisting of one metric and two affine connections, in a Metric-Affine Gravity setup. Consequently, coupling the two connections on an equal footing with matter, we show that the geometry of the resulting theory is, quite intriguingly, that of Statistical Manifold. This ultimately indicates a remarkable mathematical correspondence between Gravity and Information Geometry.

Cited by

Related