David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Electronic Journal of Theoretical Physics 8 (25):109-126 (2011)
We review a rough scheme of quantum mechanics using the Clifford algebra. Following the steps previously published in a paper by another author , we demonstrate that quantum interference arises in a Clifford algebraic formulation of quantum mechanics. In 1932 J. von Neumann showed that projection operators and, in particular, quantum density matrices can be interpreted as logical statements. In accord with a previously obtained result by V. F Orlov , in this paper we invert von Neumann’s result. Instead of constructing logic from quantum mechanics , we construct quantum mechanics from an extended classical logic. It follows that the origins of the two most fundamental quantum phenomena , the indeterminism and the interference of probabilities, lie not in the traditional physics by itself but in the logical structure as realized here by the Clifford algebra.
|Keywords||Quantum Mechanics Quantum Interference Clifford Algebra|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Antonio Ledda, Martinvaldo Konig, Francesco Paoli & Roberto Giuntini (2006). MV-Algebras and Quantum Computation. Studia Logica 82 (2):245 - 270.
John F. Halpin (1991). What is the Logical Form of Probability Assignment in Quantum Mechanics? Philosophy of Science 58 (1):36-60.
Jeffrey Bub (1991). The Problem of Properties in Quantum Mechanics. Topoi 10 (1):27-34.
Patrick Suppes (1966). The Probabilistic Argument for a Non-Classical Logic of Quantum Mechanics. Philosophy of Science 33 (1/2):14-21.
Elio Conte, A Clifford Algebraic Analysis and Explanation of Wave Function Reduction in Quantum Mechanics.
Elio Conte (forthcoming). Reconsideration of Quantum Foundations. Vaxjo University Conference ,15-18 June –2009 : A Clifford Algebraic Analysis and Explanation of Wave Function Reduction in Quantum Mechanics. [REVIEW] In Vaxio University -Sweeden (ed.), Proceedings Vaxjo Conference on Foundations of quantum mechanics.
Elio Conte, A Proof That Quantum Interference Arises in a Clifford Algebraic Formulation of Quantum Mechanics.
Elio Conte (forthcoming). WHAT IS THE REASON TO USE CLIFFORD ALGEBRA IN QUANTUM COGNITION ? PART I “ IT FROM QUBIT “ : ON THE POSSIBILITY THAT THE AMINO ACIDS CAN DISCERN BETWEEN TWO QUANTUM SPIN STATES. Neuroquantology.
Added to index2010-03-03
Total downloads81 ( #19,577 of 1,410,161 )
Recent downloads (6 months)14 ( #15,390 of 1,410,161 )
How can I increase my downloads?