Quantum-like brain: "Interference of minds"

BioSystems

Volumn 84, Issue 3, 2006, Pages 225-241

  Khrennikov, Andrei ^a  

^a LINNAEUS UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

BRAIN; COGNITION; EXPERIMENTAL STUDY; MENTAL HEALTH; PROBABILITY; PSYCHOLOGY; STATISTICAL CONCEPT; STATISTICAL DATA; TERMINOLOGY;

ARTICLE; BRAIN; COGNITION; PARTICLE SIZE; PHYSICAL CHEMISTRY; PREDICTION; QUANTUM CHEMISTRY; STATISTICAL ANALYSIS; ANIMAL; ARTIFICIAL INTELLIGENCE; BIOLOGICAL MODEL; BIOMIMETICS; HUMAN; METHODOLOGY; PHYSIOLOGY; QUANTUM THEORY;

ANIMALS; ARTIFICIAL INTELLIGENCE; BIOMIMETICS; BRAIN; COGNITION; HUMANS; MODELS, NEUROLOGICAL; QUANTUM THEORY;

EID: 33745939141     PISSN: 03032647     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.biosystems.2005.11.005     Document Type: Article

References (62)

1. Albert D.Z., and Loewer B. Interpreting the many worlds interpretation. Synthese 77 (1988) 195-213
2. Albert D.Z. Quantum Mechanics and Experience (1992), Harvard University Press, Cambridge, Mass
3. Amit D. Modeling Brain Function (1989), Cambridge University Press, Cambridge
4. Ashby R. Design of a Brain (1952), Chapman-Hall, London
5. Atmanspacher, H., Biskop, R.C., Amann, A., 2001. Extrinsic and intrinsic irreversibility in probabilistic dynamical laws. In: Khrennikov, A.Yu. (Ed.), Proceddings of the Conference on Foundations of Probability and Physics. Q. Prob. White Noise Anal. 13, 50-70, WSP, Singapore.
6. Atmanspacher H., and Kronz F. Relative onticity. In: Atmanspacher H., Amann A., and Müller-Herold U. (Eds). On Quanta, Mind, and Matter. Hans Primas in Context (1999), Kluwer, Dordrecht 273-294
7. Ballentine, L. E., 2001. Interpretations of probability and quantum theory. In: Khrennikov, A.Yu. (Ed.), Proceddings of the Conference on Foundations of Probability and Physics. Q. Prob. White Noise Anal. 13, 71-84, WSP, Singapore.
8. Barrett J.A. The Quantum Mechanics of Minds and Worlds (1999), Oxford University Press, Oxford
9. Bechtel W., and Abrahamsen A. Connectionism and the Mind (1991), Basil Blackwell, Cambridge
10. Bohm D. Quantum Theory (1951), Prentice-Hall, Englewood Cliffs, NJ
11. Bohm D., and Hiley B. The Undivided Universe: An Ontological Interpretation of Quantum Mechanics (1993), Routledge and Kegan Paul, London
12. Choustova O. Bohmian mechanics for financial processes. J. Modern Optics 51 6/7 (2004) 1111
13. Conte, E., Todarello, O., Federici, A., Vitiello, T., Lopane, M., Khrennikov, A.Yu., 2004. A preliminar evidence of quantum like behavior in measurements of mental states. In: Khrennikov, A.Yu. (Ed.), Quantum Theory: Reconsideration of Foundations. Ser. Math. Modeling 10, 679-702. Växjö University Press, Växjö; http://www.lanl.gov/abs/quant-ph/0307201.
14. De Broglie L. The Current Interpretation of Wave Mechanics, Critical Study (1964), Elsevier Publ., Amsterdam/London/NY
15. Donald, M. J., 1996. On Many-Minds Interpretation of Quantum Mechanics, preprint.
16. Donald M.J. Quantum theory and brain. Proc. R. Soc. A 427 (1990) 43-93
17. Donald M.J. A mathematical characterization of the physical structure of observers. Found. Phys. 25/4 (1995) 529-571
18. Deutsch D. The Fabric of Reality. How Much can our Four Deepest Theories of the World Explain? (1997), Allen Lane, The Penguin Press
19. Eliasmith C. The third contender: a critical examination of the dynamicist theory of cognition. Philos. Psychol. 9 4 (1996) 441-463
20. Hameroff S. Quantum coherence in microtubules. A neural basis for emergent consciousness?. J. Consciousness Stud. 1 (1994) 91-118
21. Hameroff S. Quantum computing in brain microtubules? The Penrose-Hameroff Orch Or model of consciousness. Philos. Tr. R. Sci., Lond. A (1998) 1-28
22. Healey R. How many worlds?. Nous 18 (1984) 591-616
23. Hiley B., and Pylkkänen P. Active information and cognitive science-a reply to Kieseppä. In: Pylkkänen P., Pylkkö P., and Hautamäki A. (Eds). Brain, Mind and Physics (1997), IOS Press, Amsterdam
24. Hiley B. Non-commutavive geometry, the Bohm interpretation and the mind-matter relationship. Proc. CASYS 2000. Liege, Belgium (2000)
25. Holevo A.S. Statistical Structure of Quantum Theory (2001), Springer, Berlin/Heidelberg
26. Hopfield J.J. Neural networks and physical systems with emergent collective computational abilities. Proc. Natl. Acad. Sci. U.S.A. 79 (1982) 1554-2558
27. Hoppensteadt F.C. An Introduction to the Mathematics of Neurons: Modeling in the Frequency Domain (1997), Cambridge University Press, NY
28. Jibu M., and Yasue K. A physical picture of Umezawa's quantum brain dynamics. In: Trappl R. (Ed). Cybernetics and Systems Research (1992), World Sci., London
29. Jibu M., and Yasue K. Quantum Brain Dynamics and Consciousness (1994), J. Benjamins Publ. Company, Amsterdam/Philadelphia
30. Khrennikov A.Yu. Classical and quantum mechanics on information spaces with applications to cognitive, psychological, social and anomalous phenomena. Found. Phys. 29 (1999) 1065-1098
31. Khrennikov A.Yu. Classical and quantum mechanics on p-adic trees of ideas. Biosystems 56 (2000) 95-120
32. Khrennikov, A.Yu., 2002a. On foundations of quantum theory. In: Khrennikov, A.Yu. (Ed.), Proceddings of the Conference on Quantum Theory: Reconsideration of Foundations. Ser. Math. Modeling 2, 163-196. Växjö University Press, Växjö.
33. Khrennikov, A.Yu., 2002b. Växjö interpretation of quantum mechanics. http://www.lanl.gov/abs/quant-ph/0202107.
34. Khrennikov A.Yu. Linear representations of probabilistic transformations induced by context transitions. J. Phys. A: Math. Gen. 34 (2001) 9965-9981
35. Khrennikov A.Yu. Contextual viewpoint to quantum stochastics. J. Math. Phys. 44 6 (2003) 2471-2478
36. Khrennikov A.Yu. Representation of the Kolmogorov model having all distinguishing features of quantum probabilistic model. Phys. Lett. A 316 (2003) 279-296
37. Khrennikov, A.Yu., 2002c. On cognitive experiments to test quantum-like behaviour of mind. Rep. Växjö University: Math. Nat. Sci. Tech., N 7. http://www.lanl.gov/abs/quant-ph/0205092.
38. Khrennikov A.Yu. Hyperbolic quantum mechanics. Adv. Appl. Clifford Algebras 13 1 (2003) 1-9
39. Khrennikov A.Yu. Interference of probabilities and number field structure of quantum models. Ann. Phys. 12 10 (2003) 575-585
40. Khrennikov A.Yu. Quantum-like formalism for cognitive measurements. Biosystems 70 (2003) 211-233
41. Khrennikov A.Yu. Schrödinger dynamics as the Hilbert space projection of a realistic contextual probabilistic dynamics. Europhys. Lett. 69 5 (2005) 678-684
42. Lockwood M. Mind, Brain and Quantum (1989), Blackwell, Oxford
43. Lockwood M. Many minds interpretations of quantum mechanics. Br. J. Philos. Sci. 47/2 (1996) 159-188
44. Loewer B. Comment on Lockwood. Br. J. Philos. Sci. 47/2 (1996) 229-232
45. Mackey G.W. Mathematical Foundations of Quantum Mechanics (1963), W.A. Benjamin Inc., NY
46. Nairz, O., Arndt, M., Zeilinger, A., 2001. Experimental verification of the Heisenberg uncertainty principle for hot fullerene molecules. http://www.lanl.gov/abs/quant-ph/0105061.
47. Orlov Y.F. The wave logic of consciousness: A hypothesis. Int. J. Theor. Phys. 21 N 1 (1982) 37-53
48. Plotnitsky A. Reading Bohr: complementarity, epistemology, entanglement, and decoherence. In: Gonis A., and Turchi P. (Eds). Proceedings of the NATO Workshop Decoherence and its Implications for Quantum Computations (2001), IOS Press, Amsterdam 3-37
49. Plotnitsky, A., 2002a. Quantum atomicity and quantum information: Bohr, Heisenberg, and quantum mechanics as an information theory. In: Khrennikov, A.Yu. (Ed.), Proceddings of the Conference on Quantum Theory: Reconsideration of Foundations. Ser. Math. Modeling 2, 309-343. Växjö University Press, Växjö.
50. Plotnitsky, A., 2002b. The spirit and the letter of Copenhagen: a response to Andrei Khrennikov. http://www.lanl.gov/abs/quant-ph/0206026.
51. Penrose R. The Emperor's New Mind (1989), Oxford University Press, NY
52. Penrose R. Shadows of the Mind (1994), Oxford University Press, Oxford
53. Shiryayev A.N. Probability (1991), Springer, Heidelberg
54. Stapp H.P. Mind, Matter and Quantum Mechanics (1993), Springer-Verlag, Berlin/NY/Heidelberg
55. Strogatz S.H. Nonlinear Dynamics and Chaos with Applications to Physics, Biology, Chemistry, and Engineering (1994), Addison Wesley, Reading, Mass
56. van Gelder T., and Port R. It's about time: overview of the dynamical approach to cognition. In: van Gelder T., and Port R. (Eds). Mind as Motion: Explorations in the Dynamics of Cognition (1995), MITP, Cambridge, Mass. 1-43
57. van Gelder T. What might cognition be, if not computation?. J. Philos. 91 (1995) 345-381
58. Vitiello G. My Double Unveiled-The Dissipative Quantum Model of Brain (2001), J. Benjamins Publ. Company, Amsterdam/Philadelphia
59. von Neumann J. Mathematical Foundations of Quantum Mechanics (1955), Princeton University Press, Princeton, NJ
60. Whitehead A.N. Process and Reality: An Essay in Cosmology (1929), Macmillan Publishing Company, NY
61. Whitehead A.N. Adventures of Ideas (1933), Cambridge University Press, London
62. Whitehead A.N. Science in the Modern World (1939), Penguin, London