A Topological Approach to Infinity in Physics and Biophysics

Foundations of Science 26 (2):245-255 (2020)
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Abstract

Physical and biological measurements might display range values extending towards infinite. The occurrence of infinity in 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 geometrical considerations and the Alexander Horned sphere, that permits to undermine infinity in physical and biophysical equations. In this unconventional approach, a continuous monodimensional line becomes an assembly of countless bidimensional lines that superimpose in quantifiable knots and bifurcations. In other words, we may state that Achilles leaves the straight line and overtakes the turtle.

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Why Should Natural Principles Be Simple?Arturo Tozzi - 2021 - Philosophia 50 (1):321-335.

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References found in this work

Non-standard Analysis.Gert Heinz Müller - 2016 - Princeton University Press.
Wittgenstein and the Vienna Circle.Friedrich Waismann, Brian Mcguinness & Joachim Schulte - 1980 - Tijdschrift Voor Filosofie 42 (1):166-166.

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