Elementary cycles of time

Dolce, Donatello

doi:10.1051/epjconf/20135801018

Cited by 4 publications

(35 citation statements)

References 8 publications

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“…Rovelli [4,30]). It clarifies the physical notion of time by clearly postulating that elementary particles are the elementary clocks of Nature.…”

Section: Schrödingermentioning

confidence: 99%

“…The energy propagates according to the retarded relativistic potential so that, when it is absorbed by a particle during interaction, the particle periodicity (i.e. together with the energy) is modulated in a local, retarded way [4,[8][9][10]14]. We will give some more detail about this when we will discuss the time flow in ECT, Sec.…”

Section: Einstein's "Overdetermination" Of Relativistic Mechanics Andmentioning

confidence: 99%

“…Another formal consequence of the ECT is that, by generalizing the above arguments The corresponding geometrodynamics of the space-time boundary and of the metric actually describe in a unified way gauge and gravitational interactions, respectively [8,9], see also [1,[4][5][6][7][10][11][12][13][14].…”

Section: Elementary Space-time Cyclesmentioning

confidence: 99%

“…According to second quantization a relativistic free particle has harmonic energy and momentum spectra: H|φ n = nE|φ n and P|n = n p|n -we can assume n ∈ Z, see footnote. (4). Thus, similarly to (40), the elementary space-time evolution of the ordinary Feynman path integral of QM can be written, by means of the Poisson summation, as sum of Dirac deltas (represented by the segments of paths in Fig.4)…”

Section: According To Sec(iiimentioning

confidence: 99%

“…We have already described that the quantized spectrum inferred from the postulate of periodicity for the elementary relativistic particles is exactly that prescribed by second quantization, see also footnote. (4). Another typical example of Schrödinger problem with spherical symmetry is the Hydrogen atom.…”

Section: Derivation Of the Second Quantization: The Creation And Amentioning

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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“…Rovelli [4,30]). It clarifies the physical notion of time by clearly postulating that elementary particles are the elementary clocks of Nature.…”

Section: Schrödingermentioning

confidence: 99%

Section: Einstein's "Overdetermination" Of Relativistic Mechanics Andmentioning

confidence: 99%

Section: Elementary Space-time Cyclesmentioning

confidence: 99%

Section: According To Sec(iiimentioning

confidence: 99%

Section: Derivation Of the Second Quantization: The Creation And Amentioning

confidence: 99%

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Introduction to the Quantum Theory of Elementary Cycles

Dolce¹

2016

Beyond Peaceful Coexistence

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

Dolce

Perali

2015

J. Phys.: Conf. Ser.

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Abstract. Cellular Automata (CA) are represented at an effective level as intrinsic periodic phenomena, classical in the essence, reproducing the complete coherence (perfect recurrences) associated to pure quantum behaviours in condensed matter systems. By means of this approach it is possible to obtain a consistent, novel derivation of SuperConductivity (SC) essential phenomenology and of the peculiar quantum behaviour of electrons in graphene physics and Carbon Nanotubes (CNs), in which electrons cyclic dynamics simulate CA. In this way we will derive, from classical arguments, the essential electronic properties of these -or similargraphene systems, such as energy bands and density of states. Similarly, in the second part of the paper, we will derive the fundamental phenomenology of SC by means of fundamental quantum dynamics and geometrical considerations, directly derived from the CA evolution law, rather than on empirical microscopical characteristics of the materials as in the standard approaches. This allows for a novel heuristic interpretation of the related gauge symmetry breaking and of the occurrence of high temperature superconductivity by means of simple considerations on the competition of quantum recurrence and thermal noise.

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Prediction of Unified New Physics beyond Quantum Mechanics from the Feynman Path Integral: Elementary Cycles String Theory

Dolce¹

2021

Preprint

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We prove that the Feynman Path Integral is equivalent to a novel stringy description of elementary particles characterized by a single compact (cyclic) world-line parameter playing the role of the particle internal clock. This clearly reveals an exact unified formulation of quantum and relativistic physics, potentially deterministic, fully falsifiable having no fine-tunable parameters, also proven in previous pap,rs to be completely consistent with all known physics, from theoretical physics to condensed matter. New physics will be discovered by observing quantum phenomena with experimental time accuracy of the order of 10-2 sec.

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Elementary cycles of time

Cited by 4 publications

References 8 publications

Introduction to the Quantum Theory of Elementary Cycles

Introduction to the Quantum Theory of Elementary Cycles

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

Prediction of Unified New Physics beyond Quantum Mechanics from the Feynman Path Integral: Elementary Cycles String Theory

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