Biconnection Gravity as a Statistical Manifold

Damianos Iosifidis; Konstantinos Pallikaris

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arXiv · 2305.18537

Biconnection Gravity as a Statistical Manifold

Damianos Iosifidis·Konstantinos Pallikaris

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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.

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gr-qc cs.IT hep-th math.IT

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BibTeX RIS

Damianos Iosifidis, Konstantinos Pallikaris. 2023-05-29. Biconnection Gravity as a Statistical Manifold. https://arxiv.org/abs/2305.18537

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