RETRACTED CHAPTER: Hyper Klein Bottle Logophysics Ontopoiesis of the Cosmos and Life

Rapoport, Diego L.

doi:10.1007/978-3-319-02039-6_22

Cited by 3 publications

(10 citation statements)

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“…Torsion stands as the fundamental geometry of physics, for which cyclical processes are the most fundamental (Dolce [45]). Particularly torsion geometry is the case of i) quantum physics (Rapoport, as already indicated), ii) the fundamental interactions as spacetime symmetries rather than internal symmetries (Rapoport &Tilli [202]), iii) fluid and magneto-hydrodynamics -the most pervasive form of matter in the cosmos, iv) biology (Rapoport,[224,225,229,230,(232)(233)(234)(235)(236)238]), v) the topological chemistry paradigm, vi) in the Klein Bottle form of the Mendeleev Periodic Table of Elements which is the unfoldment of the Golden spiral as a standing wave (Boeyens & Lavendis [22]), vii) perception and cognition [213,220,223], and viii) crucial to music and its experience [159,251,274]. Torsion geometry is the case of fluids as the paramount matter organisations of the cosmos at all scales, particularly liquid crystals.…”

Section: Berry Topological Phases (An)holonomities Torsion and Nonori...mentioning

confidence: 99%

“…Its coupling to it appears to be embodied as a Klein Bottle topology as the somatosensory and visual systems, cogent to the unity of action and perception (Turvey [273]). The same problem arises in attempting to define Life, from the perspective of dualism [230], since it already denies a continuity from the physical-chemical level to the biological one, as viruses show to be mediating states which remarkable have a remarkable geometric complexity. Distinctions between conscious and unconscious are not amenable to be conceived in dual terms, as we shall meet upon discussing anaesthetics as well as other states of altered states of consciousness, those of enhancement of its functionality.…”

Section: The Hard Problem Of Consciousness and The Torsion Of Cognitionmentioning

confidence: 99%

“…However, as we have just seen and it turned out to be the case of genomes, rather than linearity we have that Nature introduces memory through the torsion encoded as nonorientability and develops its genomic codification in palindromic sequences related to nonlinear non-orientable surfaces, and the digital character of the codifications is derived from the Klein Bottle logic [234]; we shall later discuss the possibility of reconstructing the continuous signal by adequate data sampling of a discrete series. Furthermore, what chemical topology has shown is that these molecular motors can be synthetized from the application of Möbius-like twists that anticipate life, so that Barbieri's account appears to be amenable to be understood in terms of the non-orientable surfaces of self-reference, rather than requiring an elaborate distinction between life and non-life as discussed in (Rapoport,[230]): The dualistic ontology cannot actually integrate what it fractured, ab initio. We have already discussed the semiotic sign-processes origin of life and memory, as well as the interpretation of codes in terms of topological nonorientable folding.…”

Section: The Topological Chemistry Paradigm and The Origin Of Life An...mentioning

confidence: 99%

“…The defining characteristic one-sidedness of nonorientable surfaces supports the integration of Outside and Inside. Thus they transcend the duality inherent to Aristotelian-Boolean logic [230][231][232][233][234][235][236]. Another surface of selfreference, yet orientable, the 2d-torus, provides a banal selfreference and a topology for dualism (Rapoport [235]).…”

Section: Introductionmentioning

confidence: 99%

“…With respect to philosophy in relation to which science has mostly developed as unrelateable forms of cognition and of probing the world and phenomena at large [230] the supradual Klein bottle logophysics and their interweaving by 'gluing' several Klein Bottles, namely HyperKlein Bottles as forms of multi-distinctions proper to complexity ( [230,236]), realise Heidegger's claim (see Malpas [155]) that phenomenology is topologically grounded (see Rapoport [230,236]; Rosen [241]). It provides for a transdisciplinarian unification of science [223], knowledge systems at large, music (Mazzola [159], Tymozcko [274], Payeron [185]) and its cognition (Merrick,[320]).…”

Section: Introductionmentioning

confidence: 99%

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Torsion Geometry 5-Fold Symmetry, Anholonomic Phases, Klein Bottle Logophysics, Chaos, Resonance: Applications Towards a Novel Paradigm for the Neurosciences and Consciousness

Rapoport

2023

J. Phys.: Conf. Ser.

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We discuss the torsion geometries as the universal dynamical setting for the five-fold symmetry and its relation to nonorientable surfaces of selfreference embodying a supradual logophysics, rooted in the Möbius strip and Klein Bottle. We frame the discussion in terms of image-schemas in cognitive semantics and their disruption stemming from supraduality and nonorientability. We present the relation with anholonomic phases, chaos and the brain-mind as an integrated dynamical system. We discuss nonorientability as the characteristic transcendental metapattern of resonant connection, pattern formation and recognition. We present the torsion geometry and nonorientability in psychophysics and the neurosciences. We discuss the homology of the torsion geometry of physical space or spacetime with that of the unconscious modelization by the brain-mind of the kinematics of objects in physical space and in the perception of music, elaborating on the Principle of Complementarity of cognitive psychology due to Shepard. We elaborate on the phenomenological construal of experience, the world as experience. We discuss the supraduality of the liminal states of consciousness and the basis of awareness in memory. We introduce the cognitive psychology foundations of memory on nonorientability and its relations to the short-memory space and its quantumlike nature, and the hyperbolicity of the psychophysics of vision. We discuss the chaotic behaviour of dynamical systems as a manifestation of supraduality as their nonorientability. We propose a basis for the source of consciousness, the Hard Problem, given by the principles of selfreference and hetero-reference which generate the Klein Bottle supradual logophysics. We present the supradual logophysics of neuron cytoskeletal structures, its relation to torsion, resonances, topological and geometrical phases and the microtubule dynamics in terms of nonlinear buckling patterns and nonorientability, and still the torsion geometry of the irreversible thermodynamical processes supporting interactions-at-a-distance. We discuss the primal relation of torsion, nonorientability and memory, particularly arising in the buckling of microtubules. We discuss the primal morphogenesis of the cell as a tensegrity structure, torsion and the indiscernibility of elastodynamics, electromagnetic and gravitational wavefronts as morphogenetic fields. We discuss nonorientability as the metaform pattern of connection and resonance, particularly of interaction-at-a-distance. We apply it to a topological allosteric effect mediated by electromagnetic fields. We discuss the topological chemistry paradigm, particularly of organic chemistry where conformation superposition is crucial, its relation to anaesthetics and its application to the ORC OR theory of Penrose and Hameroff for consciousness as arising from the collapse of the wave function which we relate to the multiconformation in the topological chemistry paradigm. We propose a model of continuous signal processing in digital terms which allows an optimal reconstruction -from digital to continuous-in terms of the Nyquist-Shannon theorem whose constraints on frequencies and bandwidths is naturally interpreted in the terms of the 2:1 harmonics of nonorientability in the Möbius strip or Klein Bottle. We discuss the non-dual logic of the tubulin code and the resonator nature of the neuronal cytoskeleton. We propose that the topological phases appearing in the cytoskeleton may correspond to the topological anholonomity, namely, nonorientability, as was elicited empirically by the Bandyopadhyay group, the existence of anholonomity corresponding to the 360° rotation characteristic of the topological anholonomity, Möbius strip. We propose the Matrix Logic representation of the Klein Bottle logic as the basis for microtubule computations, and discuss the relation to quantum computation, topological entanglement and the topological coherence/decoherence Klein Bottle cycle. We also relate it to holography, the brain’s integration and Velmans’ Reflexive Monism extended by Rapoport. We discuss the multiconformation orientable and nonorientable resonators electronic devices and antennas as classical-quantum realisations of microtubule coherent behaviour. We discuss the relation of life and consciousness and the topological nonorientable embodiment of memory. We introduce the dynamical reduction program for the collapse of the quantum state in terms of the torsion stochastic differential geometry of the quantum geometry of Quantum Mechanics as projective space, and particularly the stochastic extension of the Schroedinger equation to account for the coupling of quantum system and environment, say a measurement apparatus. Thus we identify a realisation of the dynamical reduction program which is based on the torsion geometry, yet supports an agent-free collapse of the quantum state, as an objective albeit random process due to quantum fluctuations. We shall discuss the present supradual logophysics in several aspects such as 1) microtubule structure and dynamics, 2) the orientable and nonorientable conformations of organic molecules, 3) the relation with anaesthetics and the altered states of consciousness and 4) confront them with the tenets of Penrose & Hameroff ORC OR theory for the origin of consciousness, not only the topological chemistry but their choice of a superposition of null torsion as in General Relativity, which renders a trivial selfreferentiality, with the topological chemistry multiconformations which requires non-null torsion. The nontrivial selfreferentiality is both proper to the mind and the torsion geometry, be that on the physical, chemical, perceptual or cognitive domains. All in all, we propose that consciousness is neither based on panpsychism nor the collapse of quantum states, nor exclusively on the control of superposition of conformations of organic chemistry, but rather on the torsion-nonorientable geometry-topology based on the principles of selfreference and hetero-reference, operating in all domains: that of meaning, the mental-anatomical-physiological domain, structural processes of matter energy and in-formation, be that physical, chemical, biological, cognitive and perception. We present a remarkable connection between them. Our approach rather than multidisciplinary will be transdisciplinary, a possibility supported on supraduality - transcending the dual-logic based logophysics-from which the theory will follow in a rather smooth way.

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