On octahedrons in \(\mathbb{R}^\infty\) and the mean dimension of space.

DOI10.1016/S0960-0779(98)00151-9zbMath1047.81508OpenAlexW2147071626MaRDI QIDQ1809619

Mohamed Saladin El Naschie

Publication date: 1998

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00151-9

Mathematics Subject Classification ID

Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99)

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Multifractal dimension inequalities in a probability space, Frostman lemmas for Hausdorff measure and packing measure in a product probability space and their physical application, Branching polymers, knot theory and Cantorian spacetime, A multifractal formalism in a probability space

Cites Work

• COBE satellite measurement, hyperspheres, superstrings and the dimension of spacetime.
• Four as the expectation value of the set of all positive integers and the geometry of four manifolds
• On the uncertainty of Cantorian geometry and the two-slit experiment
• Remarks on superstrings, fractal gravity, Nagasawa's diffusion and Cantorian spacetime