American Journal of Modern Physics
Volume 6, Issue 6, November 2017, Pages: 122-126
Received: Aug. 12, 2017;
Accepted: Aug. 28, 2017;
Published: Sep. 21, 2017
Views 4071 Downloads 251
Hua Ma, The College of Science, Air Force University of Engineering, Xi’an, People’s Republic of China
It is a basic, ancient and mysterious issue: why our space is three dimensional? This issue is related to philosophy, mathematics, physics and even religion, and thus aroused great research interests. The author makes an in-depth analysis of the problem, and finally comes to a conclusion: For any vector space with symmetry, orthogonality, homogeneity and completeness, the space dimension must be three on condition that: the energy obeys the law of conservation, the dynamics law is governed by the covariance principle, and thus the cross-product must can be defined in the space. Our space just meets and requires the above constraints, so its dimension is three.
A Physical Explanation on Why Our Space Is Three Dimensional, American Journal of Modern Physics.
Vol. 6, No. 6,
2017, pp. 122-126.
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Rynasiewicz, Robert, "Newton's Views on Space, Time, and Motion", Stanford Encyclopedia of Philosophy (Stanford University).
Schutz, Bernard, Gravity from the Ground Up: An Introductory Guide to Gravity and General Relativity (Cambridge University Press, 2004).
WS Massey, "Cross products of vectors in higher dimensional Euclidean spaces", The American Mathematical Monthly. 90 (10): 697–701. (1983).
Rolfsen, Dale, Knots and Links (Berkeley, California: Publish or Perish, 1976).
N Mankoc Borstnik and H B Nielsen, Why Nature has made a choice of one time and three space coordinates? Journal of Physics A: Mathematical and General, 2002, Vol. 35, no 49.
Y Itin, FW Hehl, Is the Lorentz signature of the metric of spacetime electromagnetic in origin? Annals of Physics, 2004, 312(1): 60-83.
D Kothawala, Minimal Length and Small Scale Structure of Spacetime, Physical Review D, 2013, 88(10): 130-130.
T Padmanabhan, S Chakraborty and D Kothawala, Spacetime with zero point length is two-dimensional at the Planck scale, General Relativity & Gravitation, 2016, 48(5): 1-8.
David J Griffiths, Introduction to electrodynamics (Prentice Hall, 3rd ed., pp. 559–562, 1999).
Landau LD and Lifshitz EM, Mechanics (Pergamon Press, 3rd ed., pp. 2–4, 1976).
Griffiths, David J., Introduction to Quantum Mechanics (Prentice Hall, 2nd ed., 2004).
Arnold, V. I., Mathematical Methods of Classical Mechanics (Springer, 1989).
Ashby, Neil, Relativity and the Global Positioning System, Physics Today, 55 (5): 41–47(2002).
E. J. Post, Formal Structure of Electromagnetics: General Covariance and Electromagnetics (Dover publications).
M. R. Spiegel, S. Lipschutz, D. Spellman, Vector Analysis (USA: McGraw Hill., Schaum’s Outlines, 2nd ed., 2009).
John Lee, Introduction to smooth manifolds (Springer, p. 173, 2000).
Danielson, Donald A, Vectors and Tensors in Engineering and Physics (Westview (Perseus), 2nd ed., 2003).