Internal Cantor distance and entropy of multidimensional Peano-Hilbert spaces

DOI10.1016/0960-0779(93)90018-VzbMath0777.58048OpenAlexW2118007055MaRDI QIDQ2366782

Mohamed Saladin El Naschie

Publication date: 15 December 1993

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

Full work available at URL: https://doi.org/10.1016/0960-0779(93)90018-v

zbMATH Keywords

Cantor setsquantum space-timeaverage dimension

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantum chaos (81Q50) Applications of global analysis to the sciences (58Z05)

Related Items (11)

Semiconductors and Cantorian spectra ⋮ Dimensions and Cantor spectra ⋮ Forbidden symmetries, Cantor sets and hypothetical graphite ⋮ Statistical geometry of a Cantor discretum and semiconductors ⋮ Nonsymmetric entropy and maximum nonsymmetric entropy principle ⋮ Semiconductors, Fermi statistics and multi-dimensional Cantor sets ⋮ Penrose tiling, semi-conduction and Cantorian \(1/f^ \alpha\) spectra in four and five dimensions ⋮ A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors ⋮ KAM orbits and dimensional criticality ⋮ On dimensions of Cantor set related systems ⋮ Orbits stability and dimensional criticality of Cantor sets

Cites Work

• Unnamed Item
• Quantum mechanics and the possibility of a Cantorian space-time
• Cantorian distance, statistical mechanics and universal behaviour of multi-dimensional triadic sets
• THE THEORY OF SCALE RELATIVITY

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