Affine Metrics and Associated Algebroid Structures: Application to General Relativity
Gh. Fasihi Ramandi
TL;DR
This paper explores how affine metrics and algebroid structures can unify gravity and electromagnetism, offering a geometric framework that also accounts for matter within the context of general relativity.
Contribution
It introduces a novel use of algebroid bundles associated with affine metrics to unify fundamental interactions and geometrize matter in general relativity.
Findings
Unified geometric framework for gravity and electromagnetism
Algebroid structures facilitate matter geometrization
Potential new insights into fundamental physics
Abstract
In this paper, algebroid bundle associated to affine metrics provide an structure for unification of gravity and electromagnetism and, geometrization of matter.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Algebraic and Geometric Analysis · Homotopy and Cohomology in Algebraic Topology