A Topos Theory Foundation for Quantum Mechanics

The theory of quantum mechanics is examined using non-standard real numbers, called quantum real numbers (qr-numbers), that are constructed from standard Hilbert space entities. Our goal is to resolve some of the paradoxical features of the standard theory by providing the physical attributes of qua...

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Bibliographic Details
Main Author: John V Corbett
Format: Article
Language:English
Published: Open Publishing Association 2012-10-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1210.0612v1