David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
Learn more about PhilPapers
Neuroquantology 9 (2):231-242 (2011)
Recently we have given proof of two theorems characterizing the Clifford algebra. By using such two theorems we have reformulated the well known von Neumann postulate on quantum measurements giving evidence of the algebraic manner in which quantum wave function collapse of quantum mechanics happens. In the present paper we introduce logic in Clifford algebra interpreting its idempotents as logical statements. Using the previously mentioned theorems we demonstrate that the two basic foundations of quantum mechanics, as the indeterminism and the quantum interference, do not arise from physics itself but from logic. We advance the principles that there are levels of our reality in which we lose our possibility of unconditionally define the truth. At this level of reality we cannot separate matter per se from the basic foundations of the logic that we use to describe it. This logical relativism does not characterize classical mechanics but quantum physics. According to Y. F. Orlov, at quantum level the truths of logical statements about dynamic variables become dynamic variables themselves.
|Keywords||quantum cognition wave function collapse quantum interference Clifford algebra quantum mechanics conceptual entities logical origins of quantum mechanics|
|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: A Proof That Quantum Interference Arises in a Clifford Algebraic Formulation of Quantum Mechanics. Electronic Journal of Theoretical Physics 8 (25):109-126.
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). 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 (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.
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 (forthcoming). Are Information, Cognition and the Principle of Existence Intrinsically Structured in the Quantum Model of Reality? Open Systems and Information Dynamics.
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.
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, A Proof That Quantum Interference Arises in a Clifford Algebraic Formulation of Quantum Mechanics.
Angelo Bassi (ed.) (2006). Quantum Mechanics: Are There Quantum Jumps? Trieste, Italy, 5 Spetember -2005 and on the Present Status of Quantum Mechanics Lošinj, Croatia 7-9 September 2005. [REVIEW] American Institute of Physics.
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.
Peter Gibbins (1987). Particles and Paradoxes: The Limits of Quantum Logic. Cambridge University Press.
Elio Conte (2009). Decision Making : A Quantum Mechanical Analysis Based On Time Evolution of Quantum Wave Function and of Quantum Probabilities During Perception and Cognition of Human Subjects. In Vaxjo University Press (ed.), Proceedings Congress Vaxjo University Conference on Quantum Mechanics. Vaxjo University
Added to index2012-11-14
Total downloads35 ( #121,379 of 1,934,423 )
Recent downloads (6 months)4 ( #145,801 of 1,934,423 )
How can I increase my downloads?