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Critical behavior in continuous dimension, ε∞ theory and particle physics

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  • Goldfain, Ervin

Abstract

Bringing closure to the host of open questions posed by the current standard model for particle physics (SM) continues to be a major challenge for the theoretical physics community. Despite years of multiple research efforts, a consistent and comprehensive understanding of standard model parameters is missing. Our work suggests that critical dynamics of the renormalization group flow provides valuable insights into most of the unresolved issues surrounding SM. We report that the dynamics of the renormalization group flow and the topological approach of El Naschie’s ε∞ theory are viewpoints that share a common foundation. The paper concludes with a brief overview of future developments and integration efforts.

Suggested Citation

  • Goldfain, Ervin, 2008. "Critical behavior in continuous dimension, ε∞ theory and particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 928-935.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:4:p:928-935
    DOI: 10.1016/j.chaos.2007.02.017
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    1. El Naschie, M.S., 2007. "Feigenbaum scenario for turbulence and Cantorian E-infinity theory of high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 911-915.
    2. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    3. Goldfain, Ervin, 2006. "Feigenbaum scaling, Cantorian space–time and the hierarchical structure of standard model parameters," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 324-331.
    4. El Naschie, M.S., 2007. "On the universality class of all universality classes and E-infinity spacetime physics," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 927-936.
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