The role of quantum recurrence in superconductivity, carbon nanotubes and related gauge symmetry breaking

Dolce, Donatello; Perali, Andrea

doi:10.1007/s10701-014-9816-y

Cited by 12 publications

(61 citation statements)

References 44 publications

(154 reference statements)

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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%

“…The Dirac quantization of magnetic monopoles obtained above is at the base of the derivation of superconductivity and its fundamental phenomenology in ECT, directly from first principles of QM rather than from empirical models such as BCS theory [27]. Indeed,…”

Section: Superconductivity and Graphene Physicsmentioning

confidence: 97%

“…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%

“…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: Superconductivity and Graphene Physicsmentioning

confidence: 97%

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: 99%

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Introduction to the Quantum Theory of Elementary Cycles

Dolce¹

2016

Beyond Peaceful Coexistence

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Does Bohm’s Quantum Force Have a Classical Origin?

Lush

2016

Found Phys

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In the de Broglie -Bohm formulation of quantum mechanics, the electron is stationary in the ground state of the hydrogen atom, because the quantum force exactly cancels the Coulomb attraction of the electron to the proton. In this paper it is shown that classical electrodynamics similarly predicts the Coulomb force can be effectively canceled by part of the magnetic force that occurs between two similar particles each consisting of a point charge moving with circulatory motion at the speed of light. Supposition of such motion is the basis of the Zitterbewegung interpretation of quantum mechanics. The magnetic force between two luminally-circulating charges for separation large compared to their circulatory motions contains a radial inverse square law part with magnitude equal to the Coulomb force, sinusoidally modulated by the phase difference between the circulatory motions. When the particles have equal mass and their circulatory motions are aligned but out of phase, part of the magnetic force is equal but opposite the Coulomb force. This raises a possibility that the quantum force of Bohmian mechanics may be attributable to the magnetic force of classical electrodynamics. It is further shown that non-relativistic relative motion between the particles leads to modulation of the magnetic force with spatial period equal to the de Broglie wavelength.

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The role of quantum recurrence in superconductivity, carbon nanotubes and related gauge symmetry breaking

Cited by 12 publications

References 44 publications

Introduction to the Quantum Theory of Elementary Cycles

Introduction to the Quantum Theory of Elementary Cycles

Does Bohm’s Quantum Force Have a Classical Origin?

Is time a cyclic dimension? Canonical quantization implicit in classical cyclic dynamics

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