Physics, Principles and Applications

Margenau, Henry; Watson, William; Montgomery, C. G.; Neher, H. V.

doi:10.1119/1.1933662

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“…Studies by artificial neural networks are revealing that in a general framework we could be in presence of a very large and highly complex stochasticcomputational arrangement about which we know very little in detail. Eccles andBeck in 1992 (Beck andEccles, 1992;2003;Eccles, 1990;Beck, 1996;Margenau, 1950;1953;Wolf, 1989) obtained by direct calculations that the synapses in the cortex may respond in a probabilistic manner to neural excitation; a probability that, given the small dimensions of synapses, should be governed by quantum uncertainty. These authors produced direct estimations that still today result very convincing.…”

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“…By this way we arrive to the following basic conclusion: mental events cause neural events analogously to the manner in which probability fields of quantum mechanics are causatively responsible for physical events. As well as Wolf outlines (Beck and Eccles, 1992;2003;Eccles, 1990;Beck, 1996;Margenau, 1950;1953;Wolf, 1989) For completeness we report here in Fig1 also the basic scheme as it was used, published, represented and discussed in detail by Eccles in all his papers on this matter Detailed structure of a spine (sp) synapse on a dendrite (den); st: Axon terminating in synaptic bouton or presynaptic terminal (pre); sv: synaptic vesicles; c: presynaptic vesicular grid; d: synaptic cleft; e: postsynaptic membrane; a: spine apparatus; b: spine stalk; m: mitochondrion. Figure 1 has been taken Proc Natl Acad Sci U S A.…”

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On the Possibility That We Think in a Quantum Probabilistic Manner

Conte¹

2010

Neuroquantology

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My discussion is articulated under the neurological as well as the psychological profile. I insist in particular on the view that mental events arise in analogy with quantum probability fields. I review some results obtained on quantum cognition discussing in detail those that we obtained on quantum interference in mental states during perception-cognition in ambiguous figures. Frequently, I use the approach to quantum mechanics by Clifford algebra. I insist in particular on two recent results. The first is the justification that I obtain of the von Neumann postulate on quantum measurement and the second relates my Clifford demonstration on the logical origins of quantum mechanics and thus on the arising feature that quantum mechanics relates conceptual entities. The whole discussion aims me to support the conclusion that we think in a quantum probabilistic manner.Key Words: quantum cognition, Clifford algebra, quantum probability fields, logical origins of quantum mechanics NeuroQuantology 2010; 4: S3-47 Introductory Remarks 1With the advent of functional brain imaging technologies, neuroscience and neuropsychology have reached satisfactory levels of understanding and knowledge. It is of great relevance that has been identified brain areas that are involved in a wide variety of brain functions including learning and memory. On the other hand, the genetic and biochemical approaches offer a constant contribution in this direction producing step by step new important advances under the profile of the investigation, research, and clinic application. NeuroQuantology | December 2010 | Vol 8 | Issue 4 | Supplement Issue 1| Page S3-47 Conte E., On the possibility that we think in a quantum probabilistic manner ISSN 1303 5150 www.neuroquantology.com S4 NeuroQuantology | December 2010 | Vol 8 | Issue 4 | Supplement Issue 1| Page S3-47 Conte E., On the possibility that we think in a quantum probabilistic manner ISSN 1303 5150 www.neuroquantology.com S5 NeuroQuantology | December 2010 | Vol 8 | Issue 4 | Supplement Issue 1| Page S3-47 Conte E., On the possibility that we think in a quantum probabilistic manner NeuroQuantology | December 2010 | Vol 8 | Issue 4 | Supplement Issue 1| Page S3-47 Conte E., On the possibility that we think in a quantum probabilistic manner ISSN 1303 5150 www.neuroquantology.com S7 NeuroQuantology | December 2010 | Vol 8 | Issue 4 | Supplement Issue 1| Page S3-47 Conte E., On the possibility that we think in a quantum probabilistic manner ISSN 1303 5150 www.neuroquantology.com S8 NeuroQuantology | December 2010 | Vol 8 | Issue 4 | Supplement Issue 1| Page S3-47 Conte E., On the possibility that we think in a quantum probabilistic manner ISSN 1303 5150 www.neuroquantology.com S9 NeuroQuantology | December 2010 | Vol 8 | Issue 4 | Supplement Issue 1| Page S3-47 Conte E., On the possibility that we think in a quantum probabilistic manner ISSN 1303 5150 www.neuroquantology.com S11

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On the Possibility That We Think in a Quantum Probabilistic Manner

Conte¹

2010

Neuroquantology

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“…The conventional musical interval between any two simple harmonic vibrations is defined as the ratio of the frequency of the note of higher frequency to that of the lower. 7 If this fraction, after reduction to its lowest terms, has small positive integers for its numerator and denominator, the interval is called a consonant one, and it seems to have a pleasant effect upon the ear. If the lowest terms are larger positive integers the combination is called dissonant, and if larger yet discrepant or discordant.…”

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Sundry notes introductory to the theoretical mechanics of mathematical music

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1973

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Physics, Principles and Applications

Cited by 2 publications

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On the Possibility That We Think in a Quantum Probabilistic Manner

On the Possibility That We Think in a Quantum Probabilistic Manner

Sundry notes introductory to the theoretical mechanics of mathematical music

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