A Dual Hilbert-space Formalism for Consciousness; Memory Experiments

Authors

  • R. Englman Ariel University, Ariel 40700, Israel
  • A. Yahalom Ariel University, Ariel 40700, Israel

DOI:

https://doi.org/10.14738/aivp.123.16966

Keywords:

Quantum Mechanics, mental states, awareness, mind-body interaction, sense-impressions, memory

Abstract

Inspired by works of W. H. Zurek and others, a mathematical, physical theory, entirely within a quantum mechanical formalism, is proposed for cognitive processes in terms of an abstract Hilbert-space for the conscious state that is an exact replica of the Hilbert-space for the neuronic physical state. Thus, any actual state of consciousness arises by its formal alignment (identification) with some-one in the set of the neuronic states, with the latter undergoing perpetual changes in the wake of life-long experiences. It is posited that these changes become expressed by an increase in the number of ordered, coherent neuronic states at the expense of the preordinal random neuronic states. Changes, transitions between states are induced by a Gorini-Kossakowski-Sudarshan-Lindblad formalism, which is also instrumental in the effect of the conscious state on bodily actions. The paradigmatic findings of R.N. Shepard (1958 - 2011) and of S. Sternberg (1966 - 2016) for long- and short-term recalls are interpreted within the model./p

References

Aerts, D., Aerts Argu’elles, J., Beltran, L., Geriente1, S., Sassoli de Bianchi1, M., Sozzo, S. and Veloz, T. (2019) Quantum entanglement in physical and cognitive systems: A conceptual analysis and a general representation. European Phys. J. Plus 134, Article 493, pp.1-20; DOI 1019-12987-00.1140/epjp/i2

Amit, D, J., Modeling Brain Function, The world of neural networks, (University Press, Cambridge UK) ISBN 0-521-36100-1 Asano, M., Ohaya, M.,Tanaka, Y., Basieva, I. and Khrennikov, A. (2011) Quantum-like model of brain’s functioning: Decision making from decoherence. J. Theoretical Biol. 281pp.56-64.

Asano, M., Ohya, M., Tanaka, Y. and I. Basieva,I.(2012) On application of Gorini-Kossakowski-Sudarshan-Lindblad equation in Cognitive Psychology. Open Systems & Information Dynamics 18(1)pp. 55-69 .

Atkinson, S., ed. (2011) The Philosophy Book (DK Publisher Dorling Kindersley, London) p. 227

Baars, B.J. (1988) A Cognitive Theory of Consciousness. (Cambridge University Press, Cambridge, U.K.)

Barra, F. and Liedo, C. (2018) The smallest absorption refrigerator: The thermodynamics of a system with quantum local detailed balance. European Journal of Physics Special Topics 231-246.

Bell, J. (1990) Against measurements. Physics World, 3 pp.33-41.

Block, N. (2009) Comparing the major theories of consciousness, in M. Cazzaniga, ed. The Cognitive Neuroscience (MIT press, Cambridge MA) pp.111122.

Bohr, N. (1958) Atomic Physics and Human Knowledge. (Wiley, New York).

Bruckmaier, G., Krauss, S., Binder, K., Hilbert, S. and Brunner, M. (2021) Tversky and Kahneman’s cognitive illusions: Who can solve them, and why?

Front. Psychol., Article 584689, pp.1-23 (2021); doi.org/10.3389/fpsyg.2021.584689, pp. 1-23

Busemeyer, J.R. and Bruza, P.D. (2012) Quantum Models of Cognition and Decision. (Cambridge University Press, Cambridge UK).

Chocholle, R. (1940) Variations ds temps de r´eactions audits en fonction de l’intensit’e a diverse frequences. L’Ann´ee Psychologique 41 pp.65-124

Dehaene, S. and Nacache, L. (2001) Towards a cognitive science of consciousness: basic evidence and a workspace framework. Cognition 79 pp.1-37.

Englman, R. and Yahalom, A. (2023) A Lindbladian-induced alignment in Quantum measurements. Foundations of Physics, 53 pp.9-31.

Evans, J.St.B.T. (2003) In two minds: Dual process accounts of reasoning. Trends in Cognitive Sciences, 7 pp.454-

Farthing, G. (1992) The Psychology of Consciousness. Prentice Hall, New York), ISBN 978-0-13-728668-3.

Gorini, V., Kossakowski, K. and Sudarshan,E.C. G. (1976) Completely positive dynamical semigroups of N-level systems. J. Math. Phys. 17pp.821-5.

Grau-Moya, J., Kru¨ger, M. and Braun, D.A. (2018) Non-equilibrium relations for bounded rational decision-making in changing environments. Entropy, 20 pp.1-14.

Greenbury, S. F., Schaper, S., Ahnert, S. E. and Loui, A.A. (2016) Correlations greatly increase mutational robustness and can both reduce and enhance evolvability. PLOS Computational Biology 12 e1004773.

Hameroff, S. and Penrose, R. (2014) Consciousness in the universe: A review of the ‘Orch OR’ theory. Physics of the Life Reviews 11 (1) pp. 39-78.

Heinrich, R. and Rapaport, T.A. (1980) Mathematical modelling of translation of mRNA in Eucaryotes; Steady states, time-dependent processes. J.

Theor. Biol. 86 pp.279-313. Hu, H. and Wu, M. (2010) Landscape and Future Direction of Theoretical Experimental Quantum Brain/Mind/Consciousness Research. Journal of Consciousness Exploration and Research 1 (8) pp.888-897.

Kahneman, D. (2013) Thinking, Fast and Slow. (Columbia, Farrar, Straus and Giroux, Columbia USA).

Khrennikov, A. and Asano, M. (2020) A Quantum-like model of Information processing in the brain. Applied Sciences - Basel 10(2) pp.707-17, doi.org/10.3390/app10020707.

Khrennikov, A. (2019) Classical and quantum mechanics on information spaces with applications to cognitive, psychological, social and anomalous phenomena. Foundations of Physics, 29 pp. 1065-98.

Kosloff, R. (2013) Quantum Thermodynamics: A dynamical viewpoint. Entropy 15 (12) pp. 2100-18; ArXiv:1305.2268.

Lamme, V.A. (2006) Towards a true neuronic stance on consciousness. Trends Cogn. Sci. 10 pp.494–501.

Leggett, A.J. (1980) Macroscopic quantum systems and the quantum theory of measurement. Suppl. Progress Theor. Phys. 69, 80-96.

Levine, L. (1981) Materialism and Qualia: The explanatory gap. Pacific Philosophical Quarterly, LXIV (4) pp. 354-361.

Libet, B., Gleason, C.A., Wright, E.W. and Pearl, D.K., 1983 Time of conscious intention to act in relation to onset of cerebral activity (Readiness Potential) - The unconscious initiation of a freely voluntary act. Brain 106 (3) pp.623-642; doi:10.1093/brain/106.3.623. PMID 664027

Lindblad, G. (1976) On the generators of quantum dynamical semigroups. Commun. Math. Phys., 48 pp. 112-30.

Link, M. (2022) Everything and more: the prospects of whole brain simulation, J. Philosophy 1908 pp. 444-459.

Low, P. (2012) The Cambridge Declaration on Consciousness, Ed. J. Panksepp et al.

Luce, R. D. and Green, D. M. (1972) A neural timing theory for response times and the psychophysics of intensity. Psychological Review 79 pp. 14-57.

Marx, K. (1867)” ...the life processes of definitive individuals, as they are in reality, acting and materially producing.” Das Kapital: Kritik der politischen Oekonomie. Hamburg: Verlag von Otto Meissner, ETH-Bibliothek Zürich, Rar 6494, doi.org/10.3931/e-rara-25622.

Moreira-Almeida, A, de F. Araujo, S. and Cloninger C.R. (2018) The presentation of the mind-brain problem in leading psychiatry journals. Braz. J. Psychiatry, 43(3) pp.35-42.

Nagel, T. (2012) Mind and Cosmos: Why the Materialist Neo-Darwinian Conception of Nature Is Almost Certainly False. (Oxford University, Oxford,2012) p.35.

NEB (1980) New Encyclopaedia Britannica. 3 p.251.

Pearle, P., (2012) Simple derivation of the Lindblad equation. European Journal of Physics, 33(4), 805-22.

Peres, A. (1988) Quantum Theory: Concepts and Methods. (Kluwer Academic, Norwell MA).

Pothos, E.M. and Busemeyer, J.R. (2013) Can quantum probability provide a new direction for cognitive modelling? Behav. Brain. Sci. 36 pp. 255-274

Rivas, A. and Huelga, S. F. (2012) Open quantum systems. An introduction, ArXiv:104.5242v2 9Feb2012 pp. 1-100.

Rivas, A. and Huelga, S. F. (2012) Open quantum systems. An introduction. ArXiv:104.5242v2 9Feb2012 pp. 1-100.

Rosenthal, D. (2005) Consciousness and Mind. (Oxford University Press, N.Y.)

Rotondo, P., Marcuzzi, M., Garrahan, J.P., I. Lesanovsky, and M Müller (2018) Open quantum generalisation of hopfield neural networks. J. Phys. A: Math. Theor., 51 115301.

Sappington, A. and Mohanty, V. (2023) Probabilistic genotype-phenotype maps reveal mutational robustness of RNA folding, spin glasses, and quantum circuits. ArXiv:2301.01847 (05 Jan 2023)

Schneidman, E., Bery II, M.J., Segev, R. and Bialek, W. (2006) Weak pairwise correlations imply strongly correlated network states in a neural population. Nature 440 pp. 2007-201.

Seth, A.K. and Bayne, T. (2012) Theories of consciousness. Nature Rev. Neuroscience 23 pp. 439-455.

Shepard, R. N. (1958) Stimulus and response generalization: Deduction of the generalization gradient from a trace model. Psychological Review, 65 (4) pp. 242–256. https://doi.org/10.1037/h0043083

Shepard, R.N. (1987) Towards a universal law of generalization for psychological science. Science 237 pp. 1317-1323.

Shepard, R.N. (2001) Perceptual-cognitive universals as reflections of the world. Behavioural and Brain Sciences. 24 pp. 712-748. DOI: 10.1017/S0140525X01000085

Shepard, R.N. (2001) On the possibility of universal mental laws: A reply to my critics. pp. 71 Behavioural and Brain Sciences. 24 2-748. DOI: 10.1017/S0140525X01000085

Shepard, R.N. (2004) How a cognitive psychologist came to seek universal laws. Psychonomic Bulletin Review. 11 (1) pp.1–23 doi:10.3758/BF03206455.

Sloman, S.A. (1996) The empirical case for two systems of reasoning. Psychological Bulletin pp. 119 3-22.

Sternberg, S. (1966) High-Speed scanning in human memory. Science 153 pp.652-654.

Sternberg S. (1969). Memory-scanning: Mental processes revealed by reaction time experiments. American Scientist, 57, 421–457.

Sternberg, S. (1975) Memory scanning: new findings and current controversies. Quart. J. Exp. Psychol. 27 pp.1-32. DOI: 10.1080/146407.

Sternberg, S. (2011) Modular processes in mind and brain. Cognitive Neuropsychology 28 pp.156-208, PMID 22185235 DOI: 10.1080/02643294.2011.557231.

Sternberg, S. (2016) In defence of high-speed memory scanning. Quarterly Journal of Experimental Psychology 69(10) pp. 2020-2075.

Tenenbaum, J.B. and Griffiths, T.L. (2001) Generalization, similarity, and Bayesian inference. Behavioural and Brain Sciences 24 pp. 629-40.

Tkaˇcik, G., Marre, O., Amodei, D., Schneidman, E., Bialek, W. and. Berry II, M.J. (2014) Searching for collective behaviour in a large network of sensory neurons. PLoS Comput Biol. Jan.2014(10):1

Tononi, G. and Edelman, G.M. (1998) Consciousness and complexity. Science 282 (5395) pp. 1846-51, doi: 10.1126/science.282.5395.1846.

Tversky A. and Kahneman, D. (1983) Extensional versus intuitive reasoning: the conjunction fallacy in probability judgment. Psychol. Rev. 90 pp.293–315, doi: 10.1037/0033-295X.90.4.293

Wang, D. et al. (2013) The potential of using quantum theory to build models of cognition. Topics Cogn. Sci. 5 pp.672-688.

Wigner, E.P. (1961) Remarks on the mind-body question, in A Scientist speculates, An anthology on partly baked ideas. (Heinemann, London).

Zurek, W.H. (1991) Decoherence and the transition from quantum to classical. Physics Today, October 1991, pp.36-

Zurek, W. (2014) Quantum Darwinism, classical reality, and the randomness of quantum jumps. Physics Today, October 2014, 67 pp.44-50.

Zurek, W. H. (2022) Quantum theory of the classical: Einselection, Quantum Darwinism and Extantons. Entropy 24 (11) pp. 1529-1618, doi.org/10.390/e24111

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Published

2024-05-18

How to Cite

Englman, R., & Yahalom, A. (2024). A Dual Hilbert-space Formalism for Consciousness; Memory Experiments. European Journal of Applied Sciences, 12(3), 29–46. https://doi.org/10.14738/aivp.123.16966