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A physical proof of the inconsistency of infinity

Author:

Leon, Antonio

Category:

Research Papers

Sub-Category:

Mathematics and Applied Mathematics

Language:

English

Date Published:

July 10, 2025

File:

/Research Papers-Mathematics and Applied Mathematics/Download/10259

Downloads:

124

Keywords:

Radial force fields, Newton's Law of Gravity, Coulomb's Law, transfinite arithmetic, actual infinity, Axiom of Infinity.

Abstract:

The overwhelming empirical evidence on the decreasing intensity of radial force fields with distance from the center of the field contradicts the impossibility of deducing that decreasing when applying transfinite arithmetics to the corresponding inverse-square laws, such as Coulomb's Law or Newton's Law of Universal Gravitation. This amounts to an empirical demonstration of the invalidity of this infinitist perspective for interpreting the physical world. It would be the first empirical proof of the inconsistency of the actual infinity.