Holographic dimensional reduction: Center manifold theorem and E-infinity

M.S. El Naschie

Chaos, Solitons & Fractals, 2006, vol. 29, issue 4, 816-822

Abstract: Klein modular curve is shown to be the holographic boundary of E-infinity Cantorian spacetime. The conformal relation between the full dimensional and the reduced space is explored. We show that both spaces analyzed in the appropriate manner give the same results for certain aspects of high energy particle physics and quantum gravity. Similarity with the center manifold theorem of non-linear dynamics and the theory of bifurcating vector fields is discussed. In particular it was found that the transfinite version of the E8⊗E8 theory corresponds to a fuzzy Kähler manifold with b2-=19-ϕ6 and b2+=5+ϕ3, while the boundary theory of the Γc(7) Klein modular space corresponds to another fuzzy Kähler manifold with b2-=13-ϕ6 and b2+=3-ϕ6. Based on these results, we conclude that the ε(∞)−Γc(7) theory represents a worked out example for the correctness of the holographic principle first proposed by G. ‘t Hooft.

Date: 2006
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (26)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077906000579
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:29:y:2006:i:4:p:816-822

DOI: 10.1016/j.chaos.2006.01.013

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().