Quantum Statistical Theory of Quantum Cognition

In quantum mechanics a wave function is connected to a quantum system. This abstract entity represents a description of the quantum state of this system. The wave function is a complex-valued probability amplitude and the probabilities for the possible results of measurements made on the system can be derived from it . In the present paper it is demonstrated that the tentative often adopted from scholars to attribute a wave function as representation of a mental state in current quantum cognition studies cannot be accepted. A mental state is a so complex structure , depending contextually at each instant from a so complex structure of inner and subjective elements and psychological and neurological components, to exclude its representation by a simple and elementary wave function, The mental state may be represented by a quantum wave function that, owing of the complex structure of the mental state, has an intrinsic indetermination and fluctuation of the basic probability amplitudes to respond to the basic notion of intrinsecally , incompletely specified system that was introduced by P. T. Landsberg in 1961. As consequence a simple quantum wave function cannot be adopted and instead an averaging statistical formulation is absolutely required. Therefore, the subsequent quantum statistical theory is formulated.

[1]  Can Current Quantum Cognition Studies Give Indication on the Manner in Which Human Cognition Arose ab Initio , 2014 .

[2]  I. Licata,et al.  A Quantum Neurological Model of Perception-Cognition and Awareness in Ambiguous Figures and the Case of the Dalmatian Dog , 2015 .

[3]  Andrei Khrennikov,et al.  Mental States Follow Quantum Mechanics During Perception and Cognition of Ambiguous Figures , 2009, Open Syst. Inf. Dyn..

[4]  E. Conte.  A Clifford algebraic analysis gives mathematical explanation of quantization of quantum theory and delineates a model of quantum reality in which information, primitive cognition entities and a principle of existence are intrinsically represented ab initio , 2013 .

[5]  Elio Conte.  What Path Monitor: A Brief Note on Quantum Cognition and Quantum Interference, the Role of the Knowledge Factor , 2015 .

[6]  Elio Conte.  On Some Explanations and Analysis of the Basic Foundations of Quantum Cognition: Comments on a paper by Pothos, Busemeyer and Trueblood , 2015 .

[7]  E. Conte,et al.  First Time Demonstration of the Quantum Interference Effect during Integration of Cognition and Emotion in Children , 2015 .

[8]  Elio Conte.  Is The Prespace The Natural Location of our Consciousness and of our Primary Cognitive Entities , 2013 .

[9]  E. Wigner,et al.  Does Quantum Mechanics exclude Life? , 1964, Nature.

[10]  Elio Conte,et al.  May We Verify Non-Existing Dispersion Free Ensembles By Application of Quantum Mechanics in Experiments at Perceptive and Cognitive Level? , 2012 .

[11]  E. Conte.  A Preliminary Experimental Verification of Violation of Bell Inequality in a Quantum Model of Jung Theory of Personality Formulated with Clifford Algebra , 2010 .

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

[13]  Joseph P. Zbilut,et al.  Some remarks on an experiment suggesting quantum-like behavior of cognitive entities and formulation of an abstract quantum mechanical formalism to describe cognitive entity and its dynamics , 2007 .

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

[15]  Elio Conte,et al.  On the Possibility That We Think in a Quantum Probabilistic Manner , 2010 .

[16]  J. Zbilut,et al.  A Conclusive Experimentation Evidences that Mental States Follow Quantum Mechanics. Further Experimentation Indicates that in Mind States Bell Inequality Violation is Possible , 2008, 0802.1835.

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

[18]  Elio Conte,et al.  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 , 2013 .

[19]  ON THE POSSIBILITY TO IDENTIFY QUANTUM INTERFERENCE EFFECTS ON THE SINGLE HUMAN SUBJECT DURING COGNITIVE PERFORMANCE BY USING STROOP EFFECT: THE PERSPECTIVE OF CLINICAL APPLICATION OF THE QUANTUM COGNITIVE MODEL , 2013 .

[20]  O. Todarello,et al.  Are Information, Cognition and the Principle of Existence Intrinsically Structured in the Quantum Model of Reality? , 2013 .

[21]  Joseph P. Zbilut,et al.  ON THE POSSIBILITY THAT WE THINK IN A QUANTUM MECHANICAL MANNER: AN EXPERIMENTAL VERIFICATION OF EXISTING QUANTUM INTERFERENCE EFFECTS IN COGNITIVE ANOMALY OF CONJUNCTION FALLACY , 2010 .

[22]  Elio Conte.  Advances in Application of Quantum Mechanics in Neuroscience and Psychology: A Clifford Algebraic Approach , 2012 .

[23]  Elio Conte,et al.  Some Brief Comments on Recent Studies on Quantum Cognition , 2016 .

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

[25]  Joseph P. Zbilut,et al.  On the Existence of Quantum Wave Function and Quantum Interference Effects in Mental States: An Experimental Confirmation During Perception and Cognition in Humans , 2008 .

[26]  Joseph P. Zbilut,et al.  A Preliminary Experimental Verification On the Possibility of Bell Inequality Violation in Mental States , 2008 .

[28]  E. Conte.  Answer to Giancarlo Ghirardi: Quantum Superpositions and Definite Perceptions: Envisaging New Feasible Experimental Tests. A Novel Proposal for Quantum Mechanics, Perception and Cognitive Science? , 2015 .

[29]  P. Landsberg.  Quantum statistical ergodic and H-theorems for incompletely specified systems , 1961, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[30]  E. Conte.  Considerations of Quantum Ergodic Systems and Biquaternion Quantum Mechanics , 1992 .