Why Quantum Theory

This article investigates one of the fundamental issues confronting a field that investigates quantum interaction; namely why is it necessary? The need to investigate an interaction using a quantum formalism is argued to arise when the system under study is sufficiently complex. In particular, if the system is displaying contextual behaviour then a quantum approach often incorporates this behaviour very naturally. Thus, a way in which much of the disparte work in the field of quantum interaction can be both justified to the broader community and eventually unified is presented. The nature of contextual behaviour and its relationship to nonlocality is explored.

[1]  David Hume,et al.  An enquiry concerning human understanding and other writings , 2007 .

[2]  Andrei Khrennikov.  Quantum-like Probabilistic Models Outside Physics , 2008 .

[3]  P. Sedgwick.  Descartes to Derrida: An Introduction to European Philosophy , 2001 .

[4]  G. Vitiello.  My double unveiled , 2001 .

[5]  A. Shimony,et al.  Bell’s theorem without inequalities , 1990 .

[6]  Kirsty Kitto,et al.  Process physics: Quantum theories as models of complexity , 2008 .

[7]  L. Ballentine,et al.  Quantum Theory: Concepts and Methods , 1994 .

[8]  Kirsty Kitto,et al.  MODELLING AND GENERATING COMPLEX EMERGENT BEHAVIOUR , 2006 .

[10]  N. Mermin.  Hidden variables and the two theorems of John Bell , 1993, 1802.10119.

[11]  Diederik Aerts,et al.  A theory of concepts and their combinations I: The structure of the sets of contexts and properties , 2005 .

[12]  A. Zeilinger,et al.  Speakable and Unspeakable in Quantum Mechanics , 1989 .

[13]  N. Bohr.  II - Can Quantum-Mechanical Description of Physical Reality be Considered Complete? , 1935 .

[14]  J. Bell.  On the Problem of Hidden Variables in Quantum Mechanics , 1966 .

[15]  J. Neumann.  Mathematical Foundations of Quantum Mechanics , 1955 .

[16]  F. Laloë,et al.  Do we really understand quantum mechanics? Strange correlations, paradoxes, and theorems , 2001, quant-ph/0209123.

[17]  Diederik Aerts,et al.  The Violation of Bell Inequalities in the Macroworld , 2000, quant-ph/0007044.

[18]  A. Zeilinger,et al.  Going Beyond Bell’s Theorem , 2007, 0712.0921.

[19]  M. West-Eberhard.  Phenotypic Plasticity and the Origins of Diversity , 1989 .

[20]  Peter Bruza,et al.  Entangling words and meaning , 2008 .

[21]  N. Mermin.  Quantum mysteries revisited , 1990 .

[22]  Diederik Aerts,et al.  Contextualizing concepts using a mathematical generalization of the quantum formalism , 2002, J. Exp. Theor. Artif. Intell..

[23]  Andrei Khrennikov.  Quantum-like Contextual Model of Processing of Information in Brain , 2007, AAAI Spring Symposium: Quantum Interaction.

[24]  Christopher Isham,et al.  Lectures On Quantum Theory: Mathematical And Structural Foundations , 1995 .

[25]  Albert Einstein,et al.  Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? , 1935 .

[26]  Samson Abramsky,et al.  A categorical semantics of quantum protocols , 2004, Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, 2004..

[27]  Douglas L. Nelson,et al.  Entangled Associative Structures and Context , 2007, AAAI Spring Symposium: Quantum Interaction.

[28]  B. Baaquie.  Quantum Finance: Path Integrals and Hamiltonians for Options and Interest Rates , 2004 .

[29]  Peter Bruza,et al.  Quantum Logic of Semantic Space: An Exploratory Investigation of Context Effects in Practical Reasoning , 2005, We Will Show Them!.

[30]  J. Bell,et al.  Speakable and Unspeakable in Quatum Mechanics , 1988 .

[31]  R. O'Neill.  A Hierarchical Concept of Ecosystems. , 1986 .

[32]  Zheng Wang,et al.  Quantum Information Processing Explanation for Interactions between Inferences and Decisions , 2007, AAAI Spring Symposium: Quantum Interaction.

[33]  R. Gorvett.  Why Stock Markets Crash: Critical Events in Complex Financial Systems , 2005 .

[34]  Kirsty Kitto,et al.  High end complexity , 2008, Int. J. Gen. Syst..