American Journal of Modern Physics

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A Physical Explanation on Why Our Space Is Three Dimensional

Received: 12 August 2017    Accepted: 28 August 2017    Published: 21 September 2017
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Abstract

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.

DOI 10.11648/j.ajmp.20170606.12
Published in American Journal of Modern Physics (Volume 6, Issue 6, November 2017)
Page(s) 122-126
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Space-time, Dimension, Energy Conservation Law, Covariance Principle, Field Tensor, Cross-product

References
[1] Rynasiewicz, Robert, "Newton's Views on Space, Time, and Motion", Stanford Encyclopedia of Philosophy (Stanford University).
[2] Schutz, Bernard, Gravity from the Ground Up: An Introductory Guide to Gravity and General Relativity (Cambridge University Press, 2004).
[3] WS Massey, "Cross products of vectors in higher dimensional Euclidean spaces", The American Mathematical Monthly. 90 (10): 697–701. (1983).
[4] Rolfsen, Dale, Knots and Links (Berkeley, California: Publish or Perish, 1976).
[5] 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.
[6] Y Itin, FW Hehl, Is the Lorentz signature of the metric of spacetime electromagnetic in origin? Annals of Physics, 2004, 312(1): 60-83.
[7] D Kothawala, Minimal Length and Small Scale Structure of Spacetime, Physical Review D, 2013, 88(10): 130-130.
[8] 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.
[9] David J Griffiths, Introduction to electrodynamics (Prentice Hall, 3rd ed., pp. 559–562, 1999).
[10] Landau LD and Lifshitz EM, Mechanics (Pergamon Press, 3rd ed., pp. 2–4, 1976).
[11] Griffiths, David J., Introduction to Quantum Mechanics (Prentice Hall, 2nd ed., 2004).
[12] Arnold, V. I., Mathematical Methods of Classical Mechanics (Springer, 1989).
[13] Ashby, Neil, Relativity and the Global Positioning System, Physics Today, 55 (5): 41–47(2002).
[14] E. J. Post, Formal Structure of Electromagnetics: General Covariance and Electromagnetics (Dover publications).
[15] M. R. Spiegel, S. Lipschutz, D. Spellman, Vector Analysis (USA: McGraw Hill., Schaum’s Outlines, 2nd ed., 2009).
[16] John Lee, Introduction to smooth manifolds (Springer, p. 173, 2000).
[17] Danielson, Donald A, Vectors and Tensors in Engineering and Physics (Westview (Perseus), 2nd ed., 2003).
Author Information
  • The College of Science, Air Force University of Engineering, Xi’an, People’s Republic of China

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  • APA Style

    Hua Ma. (2017). A Physical Explanation on Why Our Space Is Three Dimensional. American Journal of Modern Physics, 6(6), 122-126. https://doi.org/10.11648/j.ajmp.20170606.12

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    ACS Style

    Hua Ma. A Physical Explanation on Why Our Space Is Three Dimensional. Am. J. Mod. Phys. 2017, 6(6), 122-126. doi: 10.11648/j.ajmp.20170606.12

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    AMA Style

    Hua Ma. A Physical Explanation on Why Our Space Is Three Dimensional. Am J Mod Phys. 2017;6(6):122-126. doi: 10.11648/j.ajmp.20170606.12

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  • @article{10.11648/j.ajmp.20170606.12,
      author = {Hua Ma},
      title = {A Physical Explanation on Why Our Space Is Three Dimensional},
      journal = {American Journal of Modern Physics},
      volume = {6},
      number = {6},
      pages = {122-126},
      doi = {10.11648/j.ajmp.20170606.12},
      url = {https://doi.org/10.11648/j.ajmp.20170606.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajmp.20170606.12},
      abstract = {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.},
     year = {2017}
    }
    

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