Hilbert space, the number of Higgs particles and the quantum two-slit experiment

M.S. El Naschie

Chaos, Solitons & Fractals, 2006, vol. 27, issue 1, 9-13

Abstract: Rigorous mathematical formulation of quantum mechanics requires the introduction of a Hilbert space. By contrast, the Cantorian E-infinity approach to quantum physics was developed largely without any direct reference to the afore mentioned mathematical spaces. In the present work we present a novel reinterpretation of basic ε(∞) Cantorian spacetime relations in terms of the Hilbert space of quantum mechanics. In this way, we gain a better understanding of the physical and mathematical structure of quantum spacetime. In particular we show that the two-slit experiment required a definite topology which is consistent with a certain fuzzy Kähler manifold or more generally a Cantorian spacetime manifold. Finally by determining the Euler class of this manifold, we can estimate the most likely number of Higgs particles which may be discovered.

Date: 2006
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Citations: View citations in EconPapers (54)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:27:y:2006:i:1:p:9-13

DOI: 10.1016/j.chaos.2005.05.010

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