Discrete Space and Zeno's Paradoxe 'The Moving Rows or Stadium'

39 Pages Posted: 12 Feb 2018

Date Written: February 6, 2018

Abstract

In this article, author consider the construction of a model of a physical space with discrete space, matter and time. For such a space, the emergence of a contradiction of the analogous Zeno’s paradoxe "Stadium" is shown. Author show the elimination of the contradiction of this paradoxe with the introduction of the concept of the order of time’s motion. It is also shown, that for a space consisting of a finite number of small elements of a certain form, there can exist a minimum possible number of stages of time’s motion, in which there will not be a contradiction of the analogous Zeno’s paradoxe "Stadium". The assumption about influence of time’s motion on transfer of the information about location of a matter in space that in turn can influence the future arrangement of a matter in space is advanced.

Keywords: Discrete space, Zeno, Stadium, paradox, controversy, matter, time, time’s motion, order, steps, information

Suggested Citation

Chernikov, Anton, Discrete Space and Zeno's Paradoxe 'The Moving Rows or Stadium' (February 6, 2018). Available at SSRN: https://ssrn.com/abstract=3118908 or http://dx.doi.org/10.2139/ssrn.3118908

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