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Fractal black holes and information

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  • Naschie, M.S. El

Abstract

If nature is fractal as it evidently is, at classical resolution and if it is suspected to also be fractal at the quantum resolution as it is now a days generally believed to be, then we must have over looked at least two points or so in our physical model building of mini black holes. To start with at such ultra high resolution, the mini black hole geometry must be a fractal. Consequently we have zero volume and only a fractal surface area. Second because we cannot take the differential limit for the ℓp2 covering the transfinite surface area, there will be many gaps between the (ℓp)2 tilings. In other words we must introduce transfinite corrections to the final result. Proceeding this way the information entropy unit of a black hole should bea=I=(7+ϕ3)(10)-66cm2=7.23606799(10)-66cm2The nearest classical result to the above is that obtained by Gerard ‘t Hoofta=I=(0.724)(10)-65cm2The paper ends with a general discussion of E-infinity theory and its possible relation with ‘t Hooft’s holographic principle and his gluons–quark strings.

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  • Naschie, M.S. El, 2006. "Fractal black holes and information," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 23-35.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:1:p:23-35
    DOI: 10.1016/j.chaos.2005.11.079
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    1. El Naschie, M.S., 2005. "On a class of fuzzy Kähler-like manifolds," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 257-261.
    2. 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.
    3. El Naschie, M.S., 2006. "Elementary number theory in superstrings, loop quantum mechanics, twistors and E-infinity high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 297-330.
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    8. El Naschie, Mohamed Saladin, 2006. "Is gravity less fundamental than elementary particles theory? Critical remarks on holography and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 803-807.
    9. Gottlieb, I. & Agop, M., 2007. "El Naschie’s ε(∞) theory and an alternative to gauged spacetime scale relativity theory," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1025-1029.
    10. Chen, Qing-Jiang & Qu, Xiao-Gang, 2009. "Characteristics of a class of vector-valued non-separable higher-dimensional wavelet packet bases," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1676-1683.
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    14. El Naschie, M.S., 2008. "High energy physics and the standard model from the exceptional Lie groups," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 1-17.
    15. Agop, M. & Enache, V., 2007. "Gauge theories on El Naschie’s ε(∞) space-time topology," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 296-301.
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    18. Singh, S.L. & Jain, Sarika & Mishra, S.N., 2009. "A new approach to superfractals," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3110-3120.
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