The fractal dimension of spacetime. -- Remarks on theoretical derivation and experimental verification.

DOI10.1016/S0960-0779(97)00194-XzbMath1047.81530MaRDI QIDQ1809663

Mohamed Saladin El Naschie

Publication date: 1998

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

Mathematics Subject Classification ID

General quantum mechanics and problems of quantization (81S99)

Related Items (17)

On Cantorian spacetime over number systems with division by zero ⋮ Cantor and generalized continuum hypotheses may be false ⋮ On the projections of generalized upper \(L^q\)-spectrum ⋮ Quantum physics and fractal space time ⋮ 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 ⋮ The VAK of vacuum fluctuation: Spontaneous self-organization and complexity theory interpretation of high energy particle physics and the mass spectrum ⋮ A review of \(E\) infinity theory and the mass spectrum of high energy particle physics ⋮ Multifractal dimension inequalities in a probability space ⋮ Some consequences of spacetime fuzziness ⋮ Fractal sets determined by dilation-stable processes ⋮ Fractal dimension of quantum \(1/f\) noise samples ⋮ Frostman lemmas for Hausdorff measure and packing measure in a product probability space and their physical application ⋮ COBE satellite measurement, hyperspheres, superstrings and the dimension of spacetime. ⋮ The impact of nonlinear dynamics and fractals on quantum physics and relativity ⋮ Modification of special relativity and formulation of convergent and invariant quantum field theory ⋮ A multifractal formalism in a probability space

Cites Work

• Special issue: Nonlinear dynamics, general relativity and the quantum (the uneven flow of fractal time)
• Branching polymers and the fractal Cantorian spacetime.
• Generalized Aharonov-Bohm effect, homotopy classes and Hausdorff dimension
• Quantal phase factors accompanying adiabatic changes
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