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On Cremonian dimensions qualitatively different from time and space

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  • Saniga, Metod

Abstract

We examine a particular kind of six-dimensional Cremonian universe featuring one dimension of space, three dimensions of time and other two dimensions that cannot be ranked as either time or space. One of these two, generated by a one-parametric aggregate of (straight-)lines lying on a quadratic cone, is more similar to the spatial dimension. The other, represented by a singly-parametrical set of singular space quartic curves situated on a proper ruled quadric surface, bears more resemblance to time. Yet, the two dimensions differ profoundly from both time and space because, although being macroscopic, they are not accessible to (detectable by) every Cremonian observer. This toy-model thus demonstrates that there might exist extra-dimensions that need not necessarily be compactified to remain unobservable.

Suggested Citation

  • Saniga, Metod, 2005. "On Cremonian dimensions qualitatively different from time and space," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 515-520.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:3:p:515-520
    DOI: 10.1016/j.chaos.2005.01.010
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    1. 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.
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