Mathematics and Statistics Faculty and Staff Publications

Document Type

Article

Publication Date

10-2018

Abstract

While it is known that Euclid’s five axioms include a proposition that a line consists at least of two points, modern geometry avoid consistently any discussion on the precise definition of point, line, etc. It is our aim to clarify one of notorious question in Euclidean geometry: how many points are there in a line segment? – from discrete-cellular space (DCS) viewpoint. In retrospect, it may offer an alternative of quantum gravity, i.e. by exploring discrete gravitational theories. To elucidate our propositions, in the last section we will discuss some implications of discrete cellular-space model in several areas of interest: (a) cell biology, (b) cellular computing, (c) Maxwell equations, (d) low energy fusion, and (e) cosmology modelling.

Publication Title

Octogon Mathematical Magazine

ISSN

2248-1893

Volume

26

Issue

2

First Page

604

Last Page

615

Language (ISO)

English

Keywords

Euclid five axioms, discrete cellular space, continuum problem, discrete cosmology models

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

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