Fredholm operators and the wave-particle duality in Cantorian space
type: Item
instance of: scholarly article
title: Fredholm operators and the wave-particle duality in Cantorian space
zbMATH Open document ID: 0932.47056
DOI: 10.1016/S0960-0779(98)00076-9
published in: Chaos, Solitons and Fractals
publication date: 2000-03-19T00:00:00Z
review text: The author analyzes the so-called wave-particle duality from the point of view of the geometry and the topology of micro spacetime. He shows that the so-called index theorem of Toeplitz operators is consistant with the irreducible spacial uncertainty of Cantorian spacetime and that this, in turn, is responsible for various paradoxial notions in quantum physics, such as the wave-particle duality.
Mathematics Subject Classification ID: 47N50
Mathematics Subject Classification ID: 81P10
Mathematics Subject Classification ID: 81P99
Mathematics Subject Classification ID: 47A53
zbMATH DE Number: 1370433
zbMATH Keywords: wave-particle duality
zbMATH Keywords: micro spacetime
zbMATH Keywords: index theorem of Toeplitz operators
zbMATH Keywords: irreducible spacial uncertainty of Cantorian spacetime
author: Mohamed Saladin El Naschie
MaRDI profile type: Publication
cites work: On the uncertainty of Cantorian geometry and the two-slit experiment
cites work: Q4284468
cites work: The golden mean in quantum geometry, knot theory and related topics
cites work: Silver mean Hausdorff dimension and Cantor sets
description: scientific article; zbMATH DE number 1370433