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Nonstandard Analysis Applied to Special and General Relativity - The Theory of Infinitesimal Light-Clocks
[article]
2014
arXiv
pre-print
Nonstandard analysis and electromagnetic propagation properties are used to derive all of the fundamental results for the Special Theory of Relativity. Infinitesimal modeling via infinitesimal light-clocks is used to derive two general line-elements (metrics) without the use of Riemannian geometry. By substituting potential velocities, the Schwarzschild, quasi and modified Schwarzschild, de Sitter, Robertson-Walker and similar line-elements are derived. New black hole and quasi-white hole
arXiv:math/0312189v10
fatcat:3is5urymgzaapnvlj3mcicezq4