Unification of Gravity and Electromagnetism and Cosmology
Partha Ghose

TL;DR
This paper proposes a unified geometric theory of gravity and electromagnetism using a metric-affine manifold, explaining dark energy, dark matter phenomena, and electromagnetic properties of astrophysical bodies.
Contribution
It introduces a novel unified framework based on a $U_4$ manifold linking gravity and electromagnetism through torsion, modifying Einstein's equations and explaining various cosmological phenomena.
Findings
Modified Einstein equations include vacuum energy and scalar fields.
Explains dark energy and dark matter-like effects.
Accounts for the gyromagnetic ratio of astrophysical bodies.
Abstract
It is first argued that radiation by a uniformly accelerated charge in flat space-time indicates the need for a unified geometric theory of gravity and electromagnetism. Such a theory, based on a metric-affine manifold, is constructed with the torsion pseudo-vector linking gravity and electromagnetism. This conceptually simple extension results in (i) Einstein's equations being modified by a vacuum energy and a scalar field whose zero-mode is a cosmological constant representing `dark energy', (ii) most of the salient features of `dark matter'-like phenomena, (iii) a modified electrodynamics satisfying Heaviside duality, (iv) a finite and small Casimir Effect, and at the same time, (v) the empirical Schuster-Blackett-Wilson relation for the amazingly universal gyromagnetic ratio of slowly rotating,…
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Taxonomy
TopicsRelativity and Gravitational Theory · Cosmology and Gravitation Theories · Advanced Mathematical Theories and Applications
