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Towards a discrete cosmology. Paper 4/17: Discrete versus continuous

Author:

Leon, Antonio

Category:

Research Papers

Sub-Category:

Cosmology

Language:

English

Date Published:

June 08, 2023

Downloads:

124

Keywords:

continuous, extensive points, spacetime continuum, non-computable numbers, numbers with infinitely many decimals, continuous magnitudes, discrete magnitudes, Planck constants, infinite division, immediate successiveness, adjacency, problem of change

Abstract:

This paper confronts discreteness with continuity, and applied the confrontation to physical magnitudes, most of which are already defined as discrete magnitudes (quantum magnitudes). After recalling the pre-Socratic concept of the continuous (initially made of extensive points) and the modern spacetime continuum (which was proved to be inconsistent in article 3 of this series of articles), the inconsistent nature of the real numbers with infinitely many decimals is demonstrated when those sequences of decimals are considered as complete totalities. The inconsistency of the infinite division of space and time is then proved, a result of the greatest importance from the discrete perspective of space and time that will be developed in the subsequent articles of this series of articles. Finally, the lack of immediate successiveness (adjacency) in the continuum is used to introduce the problem of change, a pre-Socratic question still unsolved, not even by physics, the science of change.

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