
31We indicate a new way in the solution of the problem of the quantum measurement . In past papers we used the wellknown formalism of the density matrix using an algebraic approach in a two states quantum spin system S, considering the particular case of three anticommuting elements. We demonstrated that, during the wave collapse, we have a transition from the standard Clifford algebra, structured in its space and metrics, to the new spatial structure of the Clifford dihedral algebra. This struct…Read more

On the non existing problem of order effect in quantum cognitive studies and judgmentIn El Em (ed.), MSC, . pp. 115. forthcoming.

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*World Journal of Neuroscience Free Download Http. 2013.The thesis of this paper is that Information, Cognition and a Principle of Existence are intrinsically structured in the quantum model of reality. We reach such evidence by using the Clifford algebra. We analyze quantization in some traditional cases of quantum mechanics and, in particular in quantum harmonic oscillator, orbital angular momentum and hydrogen atom. The results are confirmed analyzing human cognition behavior that evidences a very consistent agreement with the basic quantum mechan…Read more

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294Methods and Applications of NonLinear Analysis in Neurology and PsychophysiologyJournal of Consciousness Exploration and Research 1 (9): 10701138. 2012.In the light of the results obtained during the last two decades in analysis of signals by time series, it has become evident that the tools of non linear dynamics have their elective role of application in biological, and, in particular, in neurophysiological and psychophysiological studies. The basic concept in non linear analysis of experimental time series is that one of recurrence whose conceptual counterpart is represented from variedness and variability that are the foundations of compl…Read more

The Gnoselogy and Ontology of Nature in the Assumptions of Quantum PhysicsScientia 68 (9): 853. 1974.

369Identification of possible differences in coding and non coding fragments of DNA sequences by using the method of the Recurrence Quantification AnalysisJournal of Research and Review in Applied Science 13 (2): 128. 2012.Starting with the results of Li et al. in 1992 there is valuable interest in finding long range correlations in DNA sequences since it raises questions about the role of introns and introncontaining genes. In the present paper we studied two sequences that are the human Tcell receptor alpha/delta locus, GenBank name HUMTCRADCV, a noncoding chromosomal fragment of M = 97630 bases (composed of less than 10% of coding regions), and the Escherichia Coli K12, GenBank name ECO110K, a genomic fragm…Read more

11Additional Comments Added to Our Recent Answer to G. GhirardiJournal of Modern Physics 6 (1). 2015.Recently we published on International Journal of Theoretical Physics an answer to G. Ghirardi relating a paper published by this author in 1999. Since the argument is so complex and articulated, in the present paper we add further comments relating in particular the matter of the quantum collapse as we have elaborated it in our previous work using only Clifford algebra and thus reaching the basic result that it is a mechanism involving only information with a cybernetic collapse and retrocollap…Read more

209Preliminary Considerations on a Possible Quantum Model of Consciousness Interfaced with a non Lipschitz Chaotic Dynamics of Neural Activity.Journal of Consciousness Exploration and Research 3 (10): 905921. 2012.A model of consciousness and conscious experience is introduced. Starting with a nonLipschitz Chaotic dynamics of neural activity, we propose that the synaptic transmission between adjacent as well as distant neurons should be regulated in brain dynamics through quantum tunneling. Further, based on various studies of different previous authors, we consider the emergence of very large quantum mechanical system representable by an abstract quantum net entirely based on quantumlike entities havin…Read more

308Are Information, Cognition and the Principle of Existence Intrinsically Structured in the Quantum Model of Reality?Open Systems and Information Dynamics. forthcoming.The thesis of this paper is that Information, Cognition and a Principle of Existence are intrinsically structured in the quantum model of reality. We reach such evidence by using the Clifford algebra. We analyze quantization in some traditional cases of quantum mechanics and, in particular in quantum harmonic oscillator, orbital angular momentum and hydrogen atom.

299On the Logical Origins of Quantum Mechanics Demonstrated By Using Clifford Algebra: A Proof that Quantum Interference Arises in a Clifford Algebraic Formulation of Quantum MechanicsElectronic Journal of Theoretical Physics 8 (25): 109126. 2011.We review a rough scheme of quantum mechanics using the Clifford algebra. Following the steps previously published in a paper by another author [31], 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 res…Read more

471A Reformulation of von Neumann's postulates on quantum measurement by usingSubmitted Physical Review A. forthcoming.

591Starting with 1985, we discovered the possible existence of electrons with net helicity in biomolecules as amino acids and their possibility to discern between the two quantum spin states. It is well known that the question of a possible fundamental role of quantum mechanics in biological matter constitutes still a long debate. In the last ten years we have given a rather complete quantum mechanical elaboration entirely based on Clifford algebra whose basic entities are isomorphic to the well kn…Read more

312On a Simple Derivation of the Effect of Repeated Measurements on Quantum Unstable Systems by Using the Regularized Incomplete betaFunctionAdvanced Studies in Theoretical Physics 6 (25): 12071213. 2012.a simple derivation of the effect induced from repeated measurements on quantum unstable systems is obtained by using the regularized incomplete beta  function .

1073Mental states follow quantum mechanics during perception and cognition of ambiguous figuresIn N. Copernicus University publishing World Scientifc Institute of physics Krzysztof Stefanski (ed.), Open Systems and Information Dynamics, World Scientific Publishing Company. pp. 117. 2009.

163Advances in Application of Quantum Mechanics in Neuroscience and Psychology: a Clifford Algebraic ApproachBookNova Science Publishers. 2012.

TRADITIONAL AND A NEW METHODOLOGY FOR ANALYSIS OF HEART RATE VARIABILITY: A REVIEW BY PHYSIOLOGICAL AND CLINICAL EXPERIMENTAL RESULTSJournal of Research and Review in Applied Science 13 (1): 206293. 2012.The aim of the present contribution is to give a review on a new methodology that we may use when we are employed in the analyis of one of the most fundamental signals that we encounter in electrophysiology, the RR intervals in analysis of the ECG. First of all the limits of the current FFT application are discussed. Soon after the basic foundations of the CZF method are exposed and we expose and discuss in detail a large number of physiological and clinical applications, based directly on expe…Read more

171An Investigation on the Basic Conceptual Foundations of Quantum Mechanics by Using the Clifford AlgebraAdvanced Studies in Theoretical Physics 5 (11): 485544. 2011.We review our approach to quantum mechanics adding also some new interesting results. We start by giving proof of two important theorems on the existence of the A(Si) and i,±1 N Clifford algebras. This last algebra gives proof of the von Neumann basic postulates on the quantum measurement explaining thus in an algebraic manner the wave function collapse postulated in standard quantum theory. In this manner we reach the objective to expose a selfconsistent version of quantum mechanics. In detail…Read more

42On the Logical Origins of Quantum Mechanics Demonstrated By Using Clifford AlgebraNeuroquantology 9 (2): 231242. 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 o…Read more

Decision Making : A Quantum Mechanical Analysis Based On Time Evolution ofIn Vaxjo University press (ed.), Vaxjo Conference on Quantum MechanicsProceedings, Vaxjo University. 2009.

3We discuss a celebrated experiment of quantum mechanics to evidence that quantum mechanics delineates a novel feature of our reality in which cognition enters as primary element, strongly linked ab initio to the dynamics of matter. Free download of the paper at http://www.scirp.org/Journal/PaperInformation.aspx?PaperID=54234#.VPtZ7HyG_10 DOI: 10.4236/psych.2015.63029

166On 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): 12891307. 2012.We start from previous studies of G.N. Ord and A.S. Deakin showing that both the classical diffusion equation and Schrödinger equation of quantum mechanics have a common stump. Such result is obtained in rigorous terms since it is demonstrated that both diffusion and Schrödinger equations are manifestation of the same mathematical axiomatic set of the Clifford algebra. By using both such ( ) i A S and the i,±1 N algebra, it is evidenced, however, that possibly the two basic equations of the phys…Read more

46May We Verify NonExisting Dispersion Free Ensembles By Application of Quantum Mechanics in Experiments at Perceptive and Cognitive Level?Neuroquantology 10 (1): 1419. 2012.Von Neumann in 1932 was the first to outline the possible nonexistence of dispersion free ensembles in quantum mechanics, and he used this basic evidence to give a preliminary proof on incompatibility between quantum mechanics and local hidden variables theory. In the present paper, we give a detailed theoretical elaboration on the manner in which such a fundamental subject could be explored at perceptive and cognitive levels in humans. We also discuss a general design of the experiment that we…Read more

384A Preliminary Experimental Verification of Violation of Bell Inequality in a Quantum Model of Jung Theory of Personality Formulated with Clifford AlgebraJournal of Consciousness Exploration and Research 1 (7): 831849. 2010.We comment some recent results obtained by using a Clifford bare bone skeleton of quantum mechanics in order to formulate the conclusion that quantum mechanics has its origin in the logic, and relates conceptual entities. Such results touch directly the basic problem about the structure of our cognitive and conceptual dynamics and thus of our mind. The problem of exploring consciousness results consequently to be strongly linked. This is the reason because studies on quantum mechanics applied to…Read more

183The Brain Knows More than It Admits: a Quantum Model and its Experimental ConElectronic Journal of Theoretical Physics 9 (27): 72110. 2012.

328A New Method for Analysis of Heart Rate Variability, Asymmetry and BRS. Part I .International Journal of Research and Review in Applied Sciences. forthcoming.: In the present paper we give a new method for estimation and quantification of Heart Rate Variability (HRV) in the VLF,LF,HF bands using the basic concept of variability previously introduced. The method enables to quantify ANS modulation of RR intervals. In the subsequent paper we will give detailed exposition of the performed and confirming experiments.

546Reconsideration of Quantum Foundations. Vaxjo University conference ,1518 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, . forthcoming.

423Decision Making : A Quantum Mechanical Analysis Based On Time Evolution of Quantum Wave Function and of Quantum Probabilities during Perception and Cognition of Human SubjectsIn Vaxjo University Press (ed.), Proceedings Congress Vaxjo University Conference on Quantum Mechanics, Vaxjo University. 2009.