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On an observer-related unequivalence between spatial dimensions of a generic Cremonian universe

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  • Saniga, Metod

Abstract

Given a generic Cremonian space-time, its three spatial dimensions are shown to exhibit an intriguing, “two-plus-one” partition with respect to standard observers. Such observers are found to form three distinct, disjoint groups based on which one out of the three dimensions stands away from the other two. These two subject-related properties have, to our knowledge, no analogue in any of the existing physical theories of space-time; yet, in one of them, the so-called Cantorian model, a closer inspection may reveal some traits of such a “space split-up.”

Suggested Citation

  • Saniga, Metod, 2005. "On an observer-related unequivalence between spatial dimensions of a generic Cremonian universe," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1935-1939.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:5:p:1935-1939
    DOI: 10.1016/j.chaos.2004.07.011
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    Cited by:

    1. El Naschie, M.S., 2005. "A guide to the mathematics of E-infinity Cantorian spacetime theory," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 955-964.
    2. Iovane, G., 2006. "Cantorian spacetime and Hilbert space: Part I—Foundations," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 857-878.
    3. Saniga, Metod, 2005. "On Cremonian dimensions qualitatively different from time and space," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 515-520.
    4. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    5. Yilmaz Özgür, Nihal, 2009. "On the n-transitivity of the group of Möbius transformations on C∞," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 106-110.

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