Intermittency and Multiscaling in Limit Theorems

Grahovac, Danijel; Leonenko, Nikolai; Taqqu, Murad S.

doi:10.1142/s0218348x22501377

Cited by 1 publication

(1 citation statement)

References 33 publications

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“…This means that intermittent phenomena are localized in both physical and spectral spaces, and thus a suitable basis for representing intermittency should reflect this dual localization. Intermittency is an indicator of fractal properties in fractal media, but it can also be an indicator of multiscalar effects in holarchies or modularities (Grahovac et al, 2022).…”

Section: The Effects Of Modularity On Multiscalar Intermittencymentioning

confidence: 99%

New insights into holonomic brain theory: implications for active consciousness

Alemdar¹,

Poznanski²,

Cacha³

et al. 2023

J. Multiscale Neurosci.

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This pioneering research on how specific molecules deep inside our brains form a dynamic information holarchy in phase space, linking mind and consciousness, is not only provocative but also revolutionary. Holonomic is a dynamic encapsulation of the holonic view that originates from the word “holon” and designates a holarchical rather than a hierarchical, dynamic brain organization to encompass multiscale effects. The unitary nature of consciousness being interconnected stems from a multiscalar organization of the brain. We aim to give a holonomic modification of the thermodynamic approach to the problem of consciousness using spatiotemporal intermittency. Starting with quasiparticles as the minimalist material composition of the dynamical brain where interferences patterns between incoherent waves of quasiparticles and their quantum-thermal fluctuations constrain the kinetic internal energy of endogenous molecules through informational channels of the negentropically-derived quantum potential. This indicates that brains are not multifractal involving avalanches but are multiscalar, suggesting that unlike the hologram, where the functional interactions occur in the spectral domain, the spatiotemporal binding is multiscalar because of self-referential amplification occurring via long-range correlative information. The associated negentropic entanglement permeates the unification of the functional information architecture across multiple scales. As such, the holonomic brain theory is suitable for active consciousness, proving that consciousness is not fundamental. The holonomic model of the brain’s internal space is nonmetric and nonfractal. It contains a multiscalar informational structure decoded by intermittency spikes in the fluctuations of the negentropically-derived quantum potential. It is therefore, a more realistic approach than the platonic models in phase space.

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Section: The Effects Of Modularity On Multiscalar Intermittencymentioning

confidence: 99%