Modern Infinitesimal Analysis Applied to the Physical Metric dS and a Theoretical Verification of a Time-dilation Conjecture

2008/02/13 by Robert A. Herrmann, Herrmann, Robert A.
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.0802.1809

20 pages

arxiv created 2008/02/13 · arxiv updated 2009/12/01

Abstract

In this paper, the modern theory of infinitesimals is applied to the General Relativity metric dS and its geometric and physical meanings are rigorously investigated. Employing results obtained via the time-dependent Schrodinger equation, gravitational time-dilation expressions are obtained and are shown to be caused by gravitationally altered photon interactions with atomic structures.

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