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A projective approach to dynamical systems, applications in cosmology and connections with El Naschie ϵ(∞) Cantorian space–time

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  • Iovane, G.
  • Benedetto, E.

Abstract

In this paper, starting from the assumption that the observed Universe is a projection of the real Universe, we will consider the dynamical properties of spacetime. The results seem to be interesting since we have obtained the transformations between ϵ(∞) Universe and the observed Universe. In the following, we analyze the effects of the projective geometry on the metrics, on the proper time and on the mass. We will also introduce the vectors in five dimensions and the cosmological consequences, which appear relevant since our approach naturally introduces a generalization of the relativistic dynamics.

Suggested Citation

  • Iovane, G. & Benedetto, E., 2006. "A projective approach to dynamical systems, applications in cosmology and connections with El Naschie ϵ(∞) Cantorian space–time," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 269-277.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:2:p:269-277
    DOI: 10.1016/j.chaos.2005.11.005
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    Cited by:

    1. Mesón, Alejandro & Vericat, Fernando, 2009. "Simultaneous multifractal decompositions for the spectra of local entropies and ergodic averages," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2353-2363.
    2. Dariescu, Marina-Aura & Dariescu, Ciprian, 2008. "A WKB approach to quantum Hall states," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1292-1297.
    3. Iovane, G. & Bellucci, S. & Benedetto, E., 2008. "Projected space–time and varying speed of light," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 49-59.

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