Statistical mechanics of multi-dimensional Cantor sets, Gödel theorem and quantum spacetime

DOI10.1016/0016-0032(93)90030-XzbMath0825.93012OpenAlexW2027580866MaRDI QIDQ1338619

Mohamed Saladin El Naschie

Publication date: 28 November 1995

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(93)90030-x

Mathematics Subject Classification ID

Applications of statistics to actuarial sciences and financial mathematics (62P05) General systems (93A10) Foundations of time-dependent statistical mechanics (82C03)

Related Items (25)

Modelling of Belousov-Zhabotinskii reaction on a surface ⋮ Chaotic streamlines and a strange nonchaotic attractor in divergence-free flows on the 3-sphere ⋮ Semiconductors and Cantorian spectra ⋮ Renormalization semigroups and the dimension of Cantorian spacetime ⋮ Statistical mechanics of multi-dimensional Cantor sets, Gödel theorem and quantum spacetime ⋮ Dimensions and Cantor spectra ⋮ Renormalization approach to the dimension of diffusion in Cantorian space ⋮ Statistical geometry of a Cantor discretum and semiconductors ⋮ Fractal calculus on [0,1] ⋮ A note on quantum mechanics, diffusional interference and informions ⋮ Thermostatistics with minimal length uncertainty relation ⋮ Some properties of attractors and quasi-attractors ⋮ Semiconductors, Fermi statistics and multi-dimensional Cantor sets ⋮ Dead or alive: desperately seeking Schrödinger's cat ⋮ Superstring theory: What it cannot do but \(E\)-infinity could ⋮ Complex behaviour of a quasiperiodically forced experimental system with dry friction ⋮ Superstrings, Cantorian-fractal spacetime and quantum-like chaos in atmospheric flows ⋮ A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors ⋮ KAM orbits and dimensional criticality ⋮ Sierpiński fractals from words in high dimensions. ⋮ On dimensions of Cantor set related systems ⋮ Fractals and generalized inner products ⋮ Is quantum space a random Cantor set with a golden mean dimension at the core? ⋮ The mean uncertainty and distance dimension of multidimensional Cantorian spaces ⋮ Orbits stability and dimensional criticality of Cantor sets

Cites Work

• On strange nonchaotic attractors and their dimensions
• On the uncertainty of information in quantum space-time
• A note on Heisenberg's uncertainty principle and Cantorian space-time
• On turbulence and complex dynamic in a four-dimensional Peano-Hilbert space
• Statistical mechanics of multi-dimensional Cantor sets, Gödel theorem and quantum spacetime
• On the Susceptibility of Local Elastic Buckling to Chaos
• Statistical mechanics of cellular automata
• Differentiable dynamical systems
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