Links. Relating Different Physical Systems Through the Common QFT Algebraic Structure

Vitiello, Giuseppe

doi:10.1007/3-540-70859-6_7

Cited by 16 publications

(13 citation statements)

References 52 publications

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“…The algebra is indeed duplicated by the map A → A 1 ⊗ A 2 , which is the Hopf coproduct map A → A ⊗ 1 + 1 ⊗ A. Convenient combinations of the deformed coproducts in the q-deformed Hopf algebra, which are noncommutative [3,[16][17][18]31,32], produce the Bogoliubov transformations of "angle" Γ t and the q-deformation parameter controls the coherent condensate of the state |0(t) . This provides the physical meaning of the deformed Hopf algebraic structure and of the non-trivial topology of paths in the phase space [31,33].…”

Section: Coherence and Fractal Self-similaritymentioning

confidence: 99%

On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of Nature

Vitiello

2014

Systems

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In electrodynamics there is a mutual exchange of energy and momentum between the matter field and the electromagnetic field and the total energy and momentum are conserved. For a constant magnetic field and harmonic scalar potential, electrodynamics is shown to be isomorph to a system of damped/amplified harmonic oscillators. These can be described by squeezed coherent states which in turn are isomorph to self-similar fractal structures. Under the said conditions of constant magnetic field and harmonic scalar potential, electrodynamics is thus isomorph to fractal self-similar structures and squeezed coherent states. At a quantum level, dissipation induces noncommutative geometry with the squeezing parameter playing a relevant role. Ubiquity of fractals in Nature and relevance of coherent states and electromagnetic interaction point to a unified, integrated vision of Nature.

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Section: Coherence and Fractal Self-similaritymentioning

confidence: 99%

On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of Nature

Vitiello

2014

Systems

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“…The environment a κ operators are thus time-reversed mirror modes of the brain system. Their introduction is necessary in order to set up the formalism for the dissipative system [21,42,43]. In such a formalism the environment is thus described as the time-reversed copy, the Double [34], of the dissipative system.…”

Section: Self-similarity and Coherent Statesmentioning

confidence: 99%

Coherent States, Fractals and Brain Waves

Vitiello

2009

New Math. and Nat. Computation

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I show that a functional representation of self-similarity (as the one occurring in fractals) is provided by squeezed coherent states. In this way, the dissipative model of brain is shown to account for the self-similarity in brain background activity suggested by power-law distributions of power spectral densities of electrocorticograms. I also briefly discuss the action-perception cycle in the dissipative model with reference to intentionality in terms of trajectories in the memory state space.

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“…The relationships between what have been discussed so far and fractals is promptly clarified by a series of recent works (Celeghini, Rasetti, & Vitiello, 1992) (Celeghini, De Martino, De Siena, Rasetti, & Vitiello, 1995), (Vitiello G. , 2007), wherein Vitiello et al have excellently shown that a functional representation of self-similarity is mathematically isomorphic to squeezed quantum coherent states, where Heisenberg's uncertainty is minimized. Quantum coherence thus appears to underlie the ubiquitous recurrence of fractals and self-similarity in Nature (Vitiello G. , 2009).…”

Section: Fractality and Nested Coherences: The Keystonementioning

confidence: 99%

Electrodynamic Coherence as a Physical Basis for Emergence of Perception, Semantics, and Adaptation in Living Systems

Renati¹

2020

Preprint

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Despite the successes earned in cataloguing and finding the role of the most of molecular components in living matter, the “biochemical and molecular” perspective, popular in biology, medicine and genetics, is unable to give account for crucial topics as the faculty of living systems to “feel”, to “perceive” what a given stimulus implies (means, indeed) for their survival. Condensed matter physics too, if bounded to a local, short-range, and perturbative approach, fails dramatically. This is also due to the role commonly assigned to water – actually the main constituent of living matter – deemed for long time to be merely chemical (as “solvent” or a reactant/product). Nonetheless, today many evidences show how living matter can be right conceived as a super-structured coherent water-based matrix, suggesting that the characterization of bio(electro)chemical and physical processes undertaken at molecular level in living matter, would let us unable to answer a question like this: what allows an amoeba, moreover without any neurons, to “know” to get closer to a nutrient or escape away from a toxin? I propose that to pursue such a fundamental inquiry it’s necessary an essentially relational approach, that is: to consider the living being at its grounding as the outcome of a physical history of relationships where symmetry-breakings, dissipation and coherence yield the emergence of the living state of matter, conceivable only as a time-dependent open process, and not as a portraited “body”. The effective tools to build up such an approach may be retrieved in far-from-equilibrium thermodynamics (TD), symmetry-breakings and gauge-fields theory, science of complexity, within the framework of a Quantum Field Theory. Indeed, within a field-view of matter, and of water especially, as it has been developed by a Quantum Electrodynamic (QED) description of condensed matter, it’s possible to give account for a physical basis too such an epistemologically elusive, though crucial, feature of living systems (i.e.: perception and meaning). The emerging landscape allows some important meditations about adaptation, evolution, ecodynamics, and about different conceptions of complexity and “information” in living realm. Furthermore, some neuroscientific themes like consciousness, qualia and their links to artificial intelligence could be supplied with due insights.

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Links. Relating Different Physical Systems Through the Common QFT Algebraic Structure

Cited by 16 publications

References 52 publications

On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of Nature

On the Isomorphism between Dissipative Systems, Fractal Self-Similarity and Electrodynamics. Toward an Integrated Vision of Nature

Coherent States, Fractals and Brain Waves

Electrodynamic Coherence as a Physical Basis for Emergence of Perception, Semantics, and Adaptation in Living Systems

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