Testing cellular automata interpretation of quantum mechanics in carbon nanotubes and superconductivity

Dolce, Donatello; Perali, Andrea

doi:10.1088/1742-6596/626/1/012062

Cited by 6 publications

(38 citation statements)

References 22 publications

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“…Summarizing the result of [27][28][29] we have that graphene physics is a direct experimental confirmation of ECT. In nanotubes the Compton periodicity is rescaled to time scales accessible to modern timekeepers, allowing us to ideate interesting experiments, and indirectly investigate the cyclic dynamics beyond QM.…”

Section: Superconductivity and Graphene Physicsmentioning

confidence: 60%

“…We also see that the Euclidean periodicity has an opposite meaning with respect to the periodicity in the Minkowskian time t. The latter is a real persistent periodicity (exponential of imaginary numbers), the former is an exponential decay (exponential of real numbers), Thus, at very low temperature T β only the fundamental vibrational mode n = 1 will be populated, whereas at high temperature many vibrational modes must be considered, so that the spectrum can be approximated by a continuum (see the interpretation of the classical limit of the Black Body radiation or of the Bohr atom). Surprisingly, these simple considerations are sufficient to describe, even formally, the most fundamental phenomena of condensed matter, such as superconductivity or graphene physics, as we will see below [27][28][29] 2. Dirac quantization for magnetic monopoles…”

Section: Matsubara Theorymentioning

confidence: 99%

“…Actually we have found [27][28][29] that ECT provides an elegant and simple new technique to derive the essential electronic properties of carbon nanotubes or similar graphene systems.…”

Section: Superconductivity and Graphene Physicsmentioning

confidence: 99%

“…As a direct consequence of second quantization the (normally ordered) energy spectrum of an ordinary field mode of angular frequency ω( p) is E n ( p) = n ω( p) with n ∈ N. If we consider that a field has modes with positive and negative energy branches ω( p) = ± p 2 c 2 + M 2 c 4 we immediately find the energy spectrum prescribed by ECT(15). The negatives modes describes antiparticles which, for neutral bosonic particles, are indistinguishable from ordinary matter particles, whereas for fermionic particles describes holes in the Dirac sea in agreement with ECT [1,8,9,29].…”

mentioning

confidence: 98%

“…Its validity has been also successfully tested in non-trivial phenomenological aspects of condensed matter physics. For instance, the simple postulate of ECT has originated a novel, intuitive derivation of superconductivity and related phenomenology, as well as of the electric properties of carbon nanotubes [27][28][29].By construction ECT does not involves hidden variables. Thus, ECT formulation of QM is not ruled out by Bell's or similar no-go theorems based on hidden variables.…”

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confidence: 99%

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Introduction to the Quantum Theory of Elementary Cycles

Dolce¹

2016

Beyond Peaceful Coexistence

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Elementary Cycles Theory is a self-consistent, unified formulation of quantum and relativistic physics. Here we introduce its basic quantum aspects. On one hand, Newton's law of inertia states that every isolated particle has persistent motion, i.e. constant energy and momentum. On the other hand, the wave-particle duality associates a space-time recurrence to the elementary particle energy-momentum.Paraphrasing these two fundamental principles, Elementary Cycles Theory postulates that every isolated elementary constituent of nature (every elementary particle) must be characterized by persistent intrinsic space-time periodicity. Elementary particles are the elementary reference clocks of Nature. The space-time periodicity is determined by the kinematical state (energy and momentum), so that interactions imply modulations, and every system is decomposable in terms of modulated elementary cycles. Undulatory mechanics is imposed as constraint "overdetermining" relativistic mechanics, similarly to Einstein's proposal of unification. Surprisingly this mathematically proves that the unification of quantum and relativistic physics is fully achieved by imposing an intrinsically cyclic (or compact) nature for relativistic space-time coordinates. In particular the Minkowskian time must be cyclic. The resulting classical mechanics are in fact fully consistent with relativity and reproduces all the fundamental aspects of quantum-relativistic mechanics without explicit quantization. This "overdetermination" just enforces both the local nature of relativistic space-time and the wave-particle duality. Besides the unified description of relativistic and quantum dynamics, Elementary Cycles Theory implies a fully geometrodynamical formulation of gauge interactions which, similarly to gravity and general relativity, is inferred as modulations of the elementary space-time clocks. This brings novel elements to address most of the fundamental open problems of modern physics.arXiv:1707.00677v1 [physics.gen-ph] 3 Jul 2017 E. Three dimensional Schrödinger problems, Coulomb potential, quantum numbers and Fock space 49 F. Condensed matter and the role of the temperature 51 1. Matsubara theory 52 2. Dirac quantization for magnetic monopoles 53 3. Superconductivity and graphene physics 53 V. Implications in modern physics 54 A. Gauge interactions from space-time geometrodynamics 54 B. Correspondence with extra-dimensional theories and string theory 56 C. Time cycles and the interpretation of time flow 57 VI. Conclusions 58 References 59 To the memory of my father and my brother. I. INTRODUCTION Elementary Cycles Theory (ECT) is a fully consistent formulation of Quantum Mechanics (QM), relativistic physics, Gauge interactions and other aspects of modern physics, obtained by postulating an intrinsically cyclic nature for Minkowskian space-time. As proven in many previous peer-reviewed papers, e.g. [1-14, 27-29], it provides an unprecedented, complete, exact, unified description of quantum and relativistic physics. The idea is based on the empi...

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Section: Superconductivity and Graphene Physicsmentioning

confidence: 60%

Section: Matsubara Theorymentioning

confidence: 99%

“…Actually we have found [27][28][29] that ECT provides an elegant and simple new technique to derive the essential electronic properties of carbon nanotubes or similar graphene systems.…”

Section: Superconductivity and Graphene Physicsmentioning

confidence: 99%

mentioning

confidence: 98%

mentioning

confidence: 99%

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Introduction to the Quantum Theory of Elementary Cycles

Dolce¹

2016

Beyond Peaceful Coexistence

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On the Compton clock and the undulatory nature of particle mass in graphene systems

Dolce

Perali

2015

Eur. Phys. J. Plus

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Abstract. In undulatory mechanics the rest mass of a particle is associated to a rest periodicity known as Compton periodicity. In carbon nanotubes the Compton periodicity is determined geometrically, through dimensional reduction, by the circumference of the curled-up dimension, or by similar spatial constraints to the charge carrier wave function in other condensed matter systems. In this way the Compton periodicity is effectively reduced by several order of magnitudes with respect to that of the electron, allowing for the possibility to experimentally test foundational aspects of quantum mechanics. We present a novel powerful formalism to derive the electronic properties of carbon nanotubes, in agreement with the results known in the literature, from simple geometric and relativistic considerations about the Compton periodicity as well as a dictionary of analogies between particle and graphene physics.

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Emergent Information Processing: Observations, Experiments, and Future Directions

Kroc¹

2023

Preprint

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Scientists are gradually becoming aware of the challenges in the understanding of the very root mechanisms of massively parallel computations that are observed in literally all scientific disciplines ranging from cosmology, physics, across chemistry, biochemistry, and ending in biology. This leads us to the main motivation and simultaneously to the central thesis of this review: “Can we design artificial, massively-parallel, self-organized, emergent, error-resilient, computational environments?” A large number of simulations along with examples and counter-examples, finalized by a list of the future directions, are giving hints and partial answers to the main thesis. This all together is opening the crucial question whether there is existing a deeper, beyond the Turing machine theoretical description of massively-parallel computing. Important information dealing with this topic is reviewed along with highly expressive animations generated by the open-source, Python software GoL-N24. The perspective, future directions including applications in robotics and biology of this research are discussed in the light of known information.

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Testing cellular automata interpretation of quantum mechanics in carbon nanotubes and superconductivity

Cited by 6 publications

References 22 publications

Introduction to the Quantum Theory of Elementary Cycles

Introduction to the Quantum Theory of Elementary Cycles

On the Compton clock and the undulatory nature of particle mass in graphene systems

Emergent Information Processing: Observations, Experiments, and Future Directions

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