Preprint Concept Paper Version 1 This version is not peer-reviewed

A Topological Approach to Infinity in Physics

Version 1 : Received: 8 February 2020 / Approved: 9 February 2020 / Online: 9 February 2020 (15:55:03 CET)

How to cite: Tozzi, A.; Peters, J.F. A Topological Approach to Infinity in Physics. Preprints 2020, 2020020107 (doi: 10.20944/preprints202002.0107.v1). Tozzi, A.; Peters, J.F. A Topological Approach to Infinity in Physics. Preprints 2020, 2020020107 (doi: 10.20944/preprints202002.0107.v1).

Abstract

Physical measurements might display range values extending towards infinite. The occurrence of infinity in physical equations, such as the black hole singularities, is a troublesome issue that causes many theories to break down when assessing extreme events. Different methods, such as re-normalization, have been proposed to avoid detrimental infinity. Here a novel technique is proposed, based on physical geometrical considerations and the Alexander Horned sphere, that permits to undermine infinity in physical equations. In this unconventional approach, a continuous monodimensional line becomes an assembly of countless bidimensional lines that superimpose in quantifiable knots and bifurcations.

Subject Areas

donut-like; infinity; paths; physical geometry; networks, Alexander horned sphere

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