The Counterintuitive Increase of Information Due to Extra Spacetime Dimensions of a Black Hole and Dvoretzky’s Theorem

Mohamed S.  El Naschie

doi:10.4236/ns.2015.710049

Mohamed S. El Naschie^*

Abstract: As per Hawking and Bekenstein’s work on black holes, information resides on the surface and there is a limit on it amounting to a bit for every Planck area. It would seem therefore that extra dimensions would logically lead to a hyper-surface for a black hole and consequently a reduction of the corresponding information density due to the dilution effect of these additional dimensions. The present paper argues that the counterintuitive opposite of the above is what should be expected. This surprising result is a consequence of a well known theorem on measure concentration due to I. Dvoretzky.

Keywords: Higher Dimensional Black Holes, Dvoretzky’s Theorem, Information Paradox, E-Infinity Theory, Counterintuitive Geometry, Bekenstein Limit, Hawking Radiation, ‘tHooft-Susskind Black Holes

Cite this paper: El Naschie, M. (2015) The Counterintuitive Increase of Information Due to Extra Spacetime Dimensions of a Black Hole and Dvoretzky’s Theorem. Natural Science, 7, 483-487. doi: 10.4236/ns.2015.710049.

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