Resolving Zeno's Paradoxes with Discrete Space-Time

11 Pages Posted: 20 May 2008

Date Written: 12/04/2005

Abstract

Zeno's paradoxes of motion have been puzzling human's understanding of nature for twenty-five centuries. While the assumption of continuous space-time has been overwhelmingly believed, modern physic findings suggest the possibility of the other case. The ultimate truth still remains an unsolved mystery. This paper presents a proof that space-time is discrete by resolving the discreteness-based paradoxes of Zeno, in particular the Stadium, with the help of the Special Relativity Theory. The key work is the proof that the only speed at which motions on the Zeno's Stadium can be is the speed of light. Lorentz transformation then provides sufficient information to resolve the paradox.

Keywords: Zeno paradoxes, Stadium paradox, discrete space-time, Special Relativity Theory, speed of light

Suggested Citation

Chen, Gikuang Jeff, Resolving Zeno's Paradoxes with Discrete Space-Time (12/04/2005). Available at SSRN: https://ssrn.com/abstract=1133624 or http://dx.doi.org/10.2139/ssrn.1133624

Gikuang Jeff Chen (Contact Author)

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