A Logical Analysis of the Time-Warp Effect of General Relativity
Judit X. Madarasz, Istvan Nemeti, Gergely Szekely
TL;DR
This paper demonstrates that various formulations of gravitational time dilation in General Relativity logically follow from an extended first-order axiom system of Special Relativity, emphasizing the foundational logical structure behind the effect.
Contribution
It provides a logical analysis showing that all versions of gravitational time dilation derive from a first-order axiomatic extension of Special Relativity.
Findings
All formulations of gravitational time dilation are logical consequences of the extended axiomatic system.
The analysis clarifies the foundational logical structure of the time-warp effect.
The approach unifies different versions of the effect under a common logical framework.
Abstract
Several versions of the Gravitational Time Dilation effect of General Relativity are formulated by the use of Einstein's Equivalence Principle. It is shown that all of them are logical consequence of a first-order axiom system of Special Relativity extended to accelerated observers.
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Taxonomy
TopicsMathematical and Theoretical Analysis · Relativity and Gravitational Theory · Computability, Logic, AI Algorithms