Branching polymers, knot theory and Cantorian spacetime

DOI10.1016/S0960-0779(98)00092-7zbMath1115.82348OpenAlexW2166901182MaRDI QIDQ997498

Mohamed Saladin El Naschie

Publication date: 6 August 2007

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00092-7

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) General mathematical topics and methods in quantum theory (81Q99) Foundations of equilibrium statistical mechanics (82B03)

Related Items

On Galois theory from subfactors, Quadro-quartic Cremona transformations and four-dimensional pencil-space-times with the reverse signature., On `spatially anisotropic' pencil-space-times associated with a quadro-cubic Cremona transformation, Noncommutative geometry and the stability of circular orbits in a central force potential, Knot theory based on the minimal braid in Lorenz system, Noncommutative topological dynamics, Fractal cosmogony: similarity of the early universe to microscopic fractal aggregates, Frostman lemmas for Hausdorff measure and packing measure in a product probability space and their physical application, Cremona transformations and the conundrum of dimensionality and signature of macro-spacetime, Nuclear spacetime theories, superstrings, Monster group and applications

Cites Work

• Hecke algebra representations of braid groups and link polynomials
• Silver mean Hausdorff dimension and Cantor sets
• Special issue: Nonlinear dynamics, general relativity and the quantum (the uneven flow of fractal time)
• COBE satellite measurement, hyperspheres, superstrings and the dimension of spacetime.
• On octahedrons in \(\mathbb{R}^\infty\) and the mean dimension of space.
• The average \((n)\) sphere spans a four-dimensional manifold.
• The Bethe lattice and the dimension of micro spacetime
• Remarks on superstrings, fractal gravity, Nagasawa's diffusion and Cantorian spacetime
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