论文信息 - What is The Reason to Use Clifford Algebra in Quantum Cognition? Part II: Information, Cognition and the Principle of Existence are Intrinsically Structured in the Quantum Model of Reality

What is The Reason to Use Clifford Algebra in Quantum Cognition? Part II: Information, Cognition and the Principle of Existence are Intrinsically Structured in the Quantum Model of Reality

The thesis of this paper is that Information, Cognition and a Principle of Existence are intrinsically structured in the quantum model of reality. There is an intrinsic “factor of knowledge” that supports its structure. We reach such evidence by using the Clifford algebra. In detail we analyze quantization in some traditional cases of interest in quantum mechanics and, in particular, in quantum harmonic oscillator, orbital angular momentum and hydrogen atom. We adopt the basic von Neumann results that projection operators represent logical statements and we demonstrated that are intrinsically structured in the cases of quantization that are taken in consideration. NeuroQuantology | March 2013 | Volume 11 | Issue 1| Page 34-46

Elio Conte | E. Conte

[1] W. Clifford. IV.—ON THE NATURE OF THINGS-IN-THEMSELVES , 1878 .

[2] Algebraic Quantum Mechanics and Pregeometry , 2006, quant-ph/0612002.

[3] W. Jr. Pauli,et al. Über das Wasserstoffspektrum vom Standpunkt der neuen Quantenmechanik , 1926 .

[4] J. Neumann. Mathematische grundlagen der Quantenmechanik , 1935 .

[5] E. Conte. On the logical origins of quantum mechanics demonstrated by using Clifford algebra , 2011 .

[6] History of twentieth century physics , 1977 .

[7] E. Conte. A Reformulation of von Neumann’s Postulates on Quantum Measurement by Using Two Theorems in Clifford Algebra , 2010 .

[8] A proof of von Neumann’s postulate in Quantum Mechanics , 2010 .

[9] Henry P. Stapp,et al. Quantum Interactive Dualism: An Alternative to Materialism , 2005 .

[10] Werner Heisenberg. The development of quantum mechanics , 1984 .

[11] Elio Conte,et al. A Preliminar Evidence of Quantum Like Behavior in Measurements of Mental States , 2003 .

[12] Y. Orlov. The Logical Origins of Quantum Mechanics , 1994 .

[13] W. Lenz,et al. Über den Bewegungsverlauf und die Quantenzustände der gestörten Keplerbewegung , 1924 .

[14] Jagdish Mehra,et al. The Historical Development of Quantum Theory , 1982 .

[15] E. Conte. An Investigation on the Basic Conceptual Foundations of Quantum Mechanics by Using the Clifford Algebra , 2011, 1106.3091.