Branch 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
Recommended Citation
Smarandache, Florentin and Victor Christianto.
"How many points are there in a line segment? A new answer from discrete cellular space viewpoint."
Octogon Mathematical Magazine
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Included in
Cosmology, Relativity, and Gravity Commons, Discrete Mathematics and Combinatorics Commons, Dynamical Systems Commons, External Galaxies Commons, Other Astrophysics and Astronomy Commons
