Hilbert space,the number of Higgs particles and the quantum two-slit experiment |
| |
Institution: | 1. DISAFA, Università di Torino, I-10095 Grugliasco, Italy;2. Departement of Chemistry, Technische Universität München, D-85747 Garching, Germany;1. HKUST Jockey Club Institute for Advanced Study, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong;2. Department of Mathematics, University of Washington, Seattle, WA 98195, USA |
| |
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. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|