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Ball, K. (1997) An Elementary Introduction to Modern Convex Geometry. In: Levy, S., Ed., Flavors of Geometry, Cambridge University Press, Cambridge, 1-58.

has been cited by the following article:

• TITLE: If Quantum “Wave” of the Universe Then Quantum “Particle” of the Universe: A Resolution of the Dark Energy Question and the Black Hole Information Paradox

  AUTHORS: Mohamed S. El Naschie

  KEYWORDS: Dvoretzky Theory, Wave-Particle Duality, Von Neumann Pointless and Self Referential Geometry, Cantorian Spacetime, Hartle-Hawking Quantum Wave of the Universe, Dark Energy, Black Hole Information Paradox, Connes Noncommutative Geometry

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.5 No.4, October 12, 2015

  ABSTRACT: We start from a minimal number of generally accepted premises, in particular Hartle-Hawking quantum wave of the universe and von Neumann-Connes’ pointless and self referential spacetime geometry. We then proceed from there to show, using Dvoretzky’s theorem of measure concentration, that the total energy of the universe is divided into two parts, an ordinary energy very small part which we can measure while most of the energy is concentrated as the second part at the boundary of the holographic boundary which we cannot measure in a direct way. Finally the results are shown to imply a resolution of the black hole information paradox without violating the fundamental laws of physics. In this way the main thrust of the two opposing arguments and views, namely that of Hawking on the one side and Susskind as well as tHooft on the other side, is brought to a consistent and compatible coherent unit.