Young double-slit experiment, Heisenberg uncertainty principle and Cantorian space-time

DOI10.1016/0960-0779(94)90053-1zbMath0801.58040OpenAlexW2157413918MaRDI QIDQ1327806

Mohamed Saladin El Naschie

Publication date: 29 November 1994

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

Full work available at URL: https://doi.org/10.1016/0960-0779(94)90053-1

zbMATH Keywords

quantum interferenceHeisenberg uncertainty relationrandom constructionfractal patternsCantorian space-timePeano-Hilbert curve

Mathematics Subject Classification ID

Applications of dynamical systems (37N99) Special relativity (83A05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99)

Related Items (14)

Quantum measurement, diffusion and Cantorian geodesics ⋮ Iterated function systems and the two-slit experiment of quantum mechanics ⋮ Control of generalized Julia sets ⋮ Noncommutative geometry, negative probabilities and Cantorian-fractal spacetime ⋮ On the uncertainty of Cantorian geometry and the two-slit experiment ⋮ A model for calculating the quantum potential for time-varying multi-slit systems ⋮ Nonlinear dynamics and the two-slit delayed experiment ⋮ Fractals via iterated functions and multifunctions ⋮ Cantorian spacetime and Hilbert space. I: Foundations ⋮ Chaotic spread spectrum watermark of optimal space-filling curves ⋮ Quantum theory, theory of Brownian motions, and relativity theory. ⋮ Fractal space-time and the statistical mechanics of random walks. ⋮ Relative-state theory: four new aspects. ⋮ Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems.

Cites Work

• Mathematical model for chaos and ergodic criticality in four dimensions
• Quantum mechanics and the possibility of a Cantorian space-time
• A note on Heisenberg's uncertainty principle and Cantorian space-time
• On dimensions of Cantor set related systems
• Is quantum space a random Cantor set with a golden mean dimension at the core?
• On certain ``empty Cantor sets and their dimensions
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