On the Logical Origins of Quantum Mechanics Demonstrated By Using Clifford Algebra: A Proof that Quantum Interference Arises in a Clifford Algebraic Formulation of Quantum Mechanics
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
Elio Conte (2011). On the Logical Origins of Quantum Mechanics Demonstrated by Using Clifford Algebra. Electronic Journal of Theoretical Physics 8 (25):109-126.
Elio Conte (2011). On the Logical Origins of Quantum Mechanics Demonstrated By Using Clifford Algebra. Neuroquantology 9 (2):231-242.
Elio Conte (2011). An Investigation on the Basic Conceptual Foundations of Quantum Mechanics by Using the Clifford Algebra. Advanced Studies in Theoretical Physics 5 (11):485-544.
Elio Conte, A Proof That Quantum Interference Arises in a Clifford Algebraic Formulation of Quantum Mechanics.
Ernst Binz, Maurice A. De Gosson & Basil J. Hiley (2013). Clifford Algebras in Symplectic Geometry and Quantum Mechanics. Foundations of Physics 43 (4):424-439.
Elio Conte (2012). 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 10 (3):561-565.
Elio Conte (forthcoming). Are Information, Cognition and the Principle of Existence Intrinsically Structured in the Quantum Model of Reality? Open Systems and Information Dynamics.
Elio Conte (2012). On Some Considerations of Mathematical Physics: May We Identify Clifford Algebra as a Common Algebraic Structure for Classical Diffusion and Schrödinger Equations? Advanced Studies in Theoretical Physics 6 (26):1289-1307.
Elio Conte, On Some Cognitive Features of Clifford Algebraic Quantum Mechanics and the Origin of Indeterminism in This Theory: A Derivation of Heisenberg Uncertainty Principle by Using the Clifford Algebra.
Elio Conte (2010). A Preliminary Experimental Verification of Violation of Bell Inequality in a Quantum Model of Jung Theory of Personality Formulated with Clifford Algebra. Journal of Consciousness Exploration and Research 1 (7):831-849.
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.
Valia Allori & Nino Zanghi (2008). On the Classical Limit of Quantum Mechanics. Foundations of Physics 10.1007/S10701-008-9259-4 39 (1):20-32.
Michele Caponigro, Stefano Mancini & Vladimir I. Man'ko, A Probabilistic Approach to Quantum Mechanics Based on Tomograms.
Peter Mittelstaedt (2012). Are the Laws of Quantum Logic Laws of Nature? Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 43 (2):215-222.
Added to index2012-11-14
Total downloads140 ( #21,772 of 1,780,198 )
Recent downloads (6 months)29 ( #28,721 of 1,780,198 )
How can I increase my downloads?