Donatello Dolce | Università degli studi di Camerino UNICAM (original) (raw)

Papers by Donatello Dolce

arXiv (Cornell University), Jul 3, 2017

Elementary Cycles Theory is a self-consistent, unified formulation of quantum and relativistic ph... more 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.

arXiv (Cornell University), Mar 23, 2009

Free bosonic fields are investigated at a classical level by imposing their characteristic time p... more Free bosonic fields are investigated at a classical level by imposing their characteristic time periodicity as a constraint, in analogy with finite temperature field theory and with extra-dimensional field theories. Following the de Broglie hypothesis, this compactification naturally leads to a quantized energy spectrum with gaps given by the related fundamental frequency times the Planck constant. As a consequence of the relation between periodicity and energy, the time compactification must be regarded as dynamical and local. Thus the theory turns out to be consistent with special relativity and in particular respects causality. Remarkably, the non trivial classical dynamics of these periodic fields show formal, conceptual and phenomenological correspondences with the usual quantum theory of free fields. By extending the theory to a simple interaction scheme, we derive a novel interpretation of the AdS/CFT correspondence.

FQxI essay contest 2023: ``How could science be different?'', 2023

How far is the boundary of scientific freedom today? How much is the scientific debate biased by ... more How far is the boundary of scientific freedom today? How much is the scientific debate biased by academic gurus and corporate interests? Are there unspeakable hypotheses and established truths that cannot be questioned? Are there visionary scientists scared to propose and pursue their intuitions? This essay poses a serious criticism about scientific communication in the Internet era, in view of the advent of Artificial Intelligence. We analyze the arXiv moderation system and its contrast with the very essence of the scientific method according to which ``the authority of a thousand is not worth the humble reasoning of a single individual'' [Galileo (1610)].

We propose that arXiv should accept papers published in highly-ranked academic journals and carefully respect the classification assigned by the editors, including during the public announcement on the arXiv daily lists if the paper is submitted after journal publication. This is in due recognition of the meticulousness of the peer-reviews, when compared to the superficiality of arXiv moderation, without wasting precious moderation time in useless work.

Annals of Physics

With simple but rigorous arguments we prove that the ordinary second quantization of bosonic and ... more With simple but rigorous arguments we prove that the ordinary second quantization of bosonic and fermionc fields is formally equivalent to constraining the elementary degrees of freedom of the classical fields to have intrinsically periodic dynamics in time. This result confirms and extends the same formal equivalence between intrinsically periodic classical dynamics and ordinary quantum dynamics, obtained in previous papers, for general Hamiltonian systems in terms of canonical quantization, for elementary relativistic particles also in terms of the Feynman path integral, as well as other remarkable correspondences of both phenomenological and theoretical fundamental interest. Our research suggests a formulation of physics based on ``internal times'' of intrinsically cyclic nature.

Annals of Physics, 2023

With simple but rigorous arguments we prove that the ordinary second quantization of bosonic and ... more With simple but rigorous arguments we prove that the ordinary second quantization of bosonic and fermionc fields is formally equivalent to constraining the elementary degrees of freedom of the classical fields to have intrinsically periodic dynamics in time. This result confirms and extends the same formal equivalence between intrinsically periodic classical dynamics and ordinary quantum dynamics, obtained in previous papers, for general Hamiltonian systems in terms of canonical quantization, for elementary relativistic particles also in terms of the Feynman path integral, as well as other remarkable correspondences of both phenomenological and theoretical fundamental interest. Our research suggests a formulation of physics based on ``internal times'' of intrinsically cyclic nature.

Advances in Engineering (online), 2023

Under the very general hypothesis of Hamiltonian systems, the result of intrinsic time periodicit... more Under the very general hypothesis of Hamiltonian systems, the result of intrinsic time periodicity imposed as a constraint to the system dynamics is a quantization formally equivalent to canonical quantization.

With simple but rigorous arguments we prove that the ordinary second quantization of bosonic and ... more With simple but rigorous arguments we prove that the ordinary second quantization of bosonic and fermionc fields is formally equivalent to constraining the elementary degrees of freedom of the classical fields to have intrinsically periodic dynamics in time. This result confirms and extends the formal equivalence obtained in previous papers for general Hamiltonian systems in terms of canonical quantization, for elementary relativistic particles also in terms of the Feynman Path Integrals, as well as other remarkable correspondences of both phenomenological and theoretical fundamental interest.

The correspondence between classical extra dimensional geometry and quantum behavior, typical of ... more The correspondence between classical extra dimensional geometry and quantum behavior, typical of the AdS/CFT, has a heuristic semiclassical interpretation in terms of undulatory mechanics and relativistic geometrodynamics. We note, in fact, that the quantum recurrence of ordinary particles enters into the equations of motions in formal duality with the extra dimensional dynamics of a Kaluza-Klein theory. The kinematics of the particle in a generic interaction scheme can be described as modulations of the spacetime recurrences and encoded in corresponding geometrodynamics. The quantization can be obtained semiclassically by means of boundary conditions, so that the interference of the classical paths with different windings numbers associated to the resulting recurrences turns out to be described by the ordinary Feynman Path Integral. This description applied to the Quark-Gluon-Plasma freeze-out yields basic aspects of AdS/QCD phenomenology.

Annals of Physics, 2023

If "quantization is an art" then it can be greatly refined by adopting cyclic time formalism. In ... more If "quantization is an art" then it can be greatly refined by adopting cyclic time formalism. In past papers we have proven the effectiveness of a formulation of physics based cyclic relativistic time. In this letter we are able to demonstrate in a general way, by using theorems of Geometric Quantization, that the Poisson brackets of intrinsically cyclic time dynamics directly imply the ordinary canonical commutation relations and the other Dirac's rules of canonical Quantum Mechanics. In other words, according to our results, the canonical quantization is an implicit way of imposing intrinsically cyclic time dynamics without explicitly saying that time is a cyclic dimension.

Annals of Physics, 2022

If "quantization is an art" then it can be greatly refined by adopting cyclic time formalism. In ... more If "quantization is an art" then it can be greatly refined by adopting cyclic time formalism. In past papers we have proven the effectiveness of a formulation of physics based on cyclic relativistic time. Now we are able to demonstrate in a general way, by using theorems of Geometric Quantization, that the Poisson brackets of intrinsically cyclic time dynamics directly imply the ordinary canonical commutation relations and the other Dirac's rules of canonical Quantum Mechanics. In other words, according to our result, the canonical quantization is an implicit way of imposing intrinsically cyclic time dynamics without explicitly saying that time is a cyclic dimension.

By investigating the Feynman Path Integral we prove that elementary quantum particle dynamics are... more By investigating the Feynman Path Integral we prove that elementary quantum particle dynamics are directly associated to single compact (cyclic) world-line parameters, playing the role of the particles' internal clock, implicit in ordinary undulatory mechanics and indirectly observed for instance in Time Crystals. This allows us to formulate a novel purely four-dimensional stringy description of elementary particles as possible physics beyond quantum mechanics. The novelty of this approach is that quantum mechanics originates from a non-trivial compact nature of the minkowskian space-time. Our result is a further evidence in support of Elementary Cycles Theory (ECT), which in previous papers has been proven to be consistent with known physics from theoretical particle physics to condensed matter. Here we provide additional conceptual arguments in support to this novel unified scenario of quantum and relativistic physics, potentially deterministic, and fully falsifiable having no fine-tunable parameters. The first evidences of such new physics characterized by ultra-fast cyclic time dynamics will be observed by probing quantum phenomena with experimental time accuracy of the order of 10 −21 sec. Considerations about the emergence of the arrow of time from the realm of pure, zero temperature, quantum physics governed by intrinsic time periodicity are also provided. Concerning Einstein's dilemma "God does not play dice" we conclude that, all in all, "God" would have no fun playing quantum dice.

Beyond Peaceful Coexistence, 2016

Elementary Cycles Theory is a self-consistent, unified formulation of quantum and relativistic ph... more 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.

Journal of Physics: Conference Series, 2015

Cellular Automata (CA) are represented at an effective level as intrinsic periodic phenomena, cla... more 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.

In undulatory mechanics the rest mass of a particle is associated to a rest periodicity known as ... more 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.

Besides the purely digital or analog interpretation of reality there is a third possibility which... more Besides the purely digital or analog interpretation of reality there is a third possibility which incorporates important aspects of both. This is the cyclic formulation of elementary systems, in which elementary particles are represented as classical strings vibrating in compact space-time dimensions with periodic boundary conditions. We will address these cyclic solutions as "de Broglie internal clocks". They constitute the deterministic gears of a consistent semi-classical description of quantum relativistic physics, providing in addition an appealing formulation of the notion of time.

If "quantization is an art" then it can be greatly refined by adopting cyclic time formalism. In ... more If "quantization is an art" then it can be greatly refined by adopting cyclic time formalism. In past papers we have proven the effectiveness of a formulation of physics based cyclic relativistic time. In this letter we are able to demonstrate in a general way, by using theorems of Geometric Quantization, that the Poisson brackets of intrinsically cyclic time dynamics directly imply the ordinary canonical commutation relations and the other Dirac's rules of canonical Quantum Mechanics. In other words, according to our results, the canonical quantization is an implicit way of imposing intrinsically cyclic time dynamics without explicitly saying that time is a cyclic dimension.

In Elementary Cycles theory elementary quantum particles are consistently described as the manife... more In Elementary Cycles theory elementary quantum particles are consistently described as the manifestation of ultra-fast relativistic spacetime cyclic dynamics, classical in the essence. The peculiar relativistic geometrodynamics of Elementary Cycles theory yields de facto a unification of ordinary relativistic and quantum physics. In particular its classical-relativistic cyclic dynamics reproduce exactly from classical physics first principles all the fundamental aspects of Quantum Mechanics, such as all its axioms, the Feynman path integral, the Dirac quantisation prescription (second quantisation), quantum dynamics of statistical systems, non-relativistic quantum mechanics, atomic physics, superconductivity, graphene physics and so on. Furthermore the theory allows for the explicit derivation of gauge interactions, without postulating gauge invariance, directly from relativistic geometrodynamical transformations, in close analogy with the description of gravitational interaction in...

arXiv (Cornell University), Jul 3, 2017

Elementary Cycles Theory is a self-consistent, unified formulation of quantum and relativistic ph... more 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.

arXiv (Cornell University), Mar 23, 2009

Free bosonic fields are investigated at a classical level by imposing their characteristic time p... more Free bosonic fields are investigated at a classical level by imposing their characteristic time periodicity as a constraint, in analogy with finite temperature field theory and with extra-dimensional field theories. Following the de Broglie hypothesis, this compactification naturally leads to a quantized energy spectrum with gaps given by the related fundamental frequency times the Planck constant. As a consequence of the relation between periodicity and energy, the time compactification must be regarded as dynamical and local. Thus the theory turns out to be consistent with special relativity and in particular respects causality. Remarkably, the non trivial classical dynamics of these periodic fields show formal, conceptual and phenomenological correspondences with the usual quantum theory of free fields. By extending the theory to a simple interaction scheme, we derive a novel interpretation of the AdS/CFT correspondence.

FQxI essay contest 2023: ``How could science be different?'', 2023

How far is the boundary of scientific freedom today? How much is the scientific debate biased by ... more How far is the boundary of scientific freedom today? How much is the scientific debate biased by academic gurus and corporate interests? Are there unspeakable hypotheses and established truths that cannot be questioned? Are there visionary scientists scared to propose and pursue their intuitions? This essay poses a serious criticism about scientific communication in the Internet era, in view of the advent of Artificial Intelligence. We analyze the arXiv moderation system and its contrast with the very essence of the scientific method according to which ``the authority of a thousand is not worth the humble reasoning of a single individual'' [Galileo (1610)].

We propose that arXiv should accept papers published in highly-ranked academic journals and carefully respect the classification assigned by the editors, including during the public announcement on the arXiv daily lists if the paper is submitted after journal publication. This is in due recognition of the meticulousness of the peer-reviews, when compared to the superficiality of arXiv moderation, without wasting precious moderation time in useless work.

Annals of Physics

With simple but rigorous arguments we prove that the ordinary second quantization of bosonic and ... more With simple but rigorous arguments we prove that the ordinary second quantization of bosonic and fermionc fields is formally equivalent to constraining the elementary degrees of freedom of the classical fields to have intrinsically periodic dynamics in time. This result confirms and extends the same formal equivalence between intrinsically periodic classical dynamics and ordinary quantum dynamics, obtained in previous papers, for general Hamiltonian systems in terms of canonical quantization, for elementary relativistic particles also in terms of the Feynman path integral, as well as other remarkable correspondences of both phenomenological and theoretical fundamental interest. Our research suggests a formulation of physics based on ``internal times'' of intrinsically cyclic nature.

Annals of Physics, 2023

With simple but rigorous arguments we prove that the ordinary second quantization of bosonic and ... more With simple but rigorous arguments we prove that the ordinary second quantization of bosonic and fermionc fields is formally equivalent to constraining the elementary degrees of freedom of the classical fields to have intrinsically periodic dynamics in time. This result confirms and extends the same formal equivalence between intrinsically periodic classical dynamics and ordinary quantum dynamics, obtained in previous papers, for general Hamiltonian systems in terms of canonical quantization, for elementary relativistic particles also in terms of the Feynman path integral, as well as other remarkable correspondences of both phenomenological and theoretical fundamental interest. Our research suggests a formulation of physics based on ``internal times'' of intrinsically cyclic nature.

Advances in Engineering (online), 2023

Under the very general hypothesis of Hamiltonian systems, the result of intrinsic time periodicit... more Under the very general hypothesis of Hamiltonian systems, the result of intrinsic time periodicity imposed as a constraint to the system dynamics is a quantization formally equivalent to canonical quantization.

With simple but rigorous arguments we prove that the ordinary second quantization of bosonic and ... more With simple but rigorous arguments we prove that the ordinary second quantization of bosonic and fermionc fields is formally equivalent to constraining the elementary degrees of freedom of the classical fields to have intrinsically periodic dynamics in time. This result confirms and extends the formal equivalence obtained in previous papers for general Hamiltonian systems in terms of canonical quantization, for elementary relativistic particles also in terms of the Feynman Path Integrals, as well as other remarkable correspondences of both phenomenological and theoretical fundamental interest.

The correspondence between classical extra dimensional geometry and quantum behavior, typical of ... more The correspondence between classical extra dimensional geometry and quantum behavior, typical of the AdS/CFT, has a heuristic semiclassical interpretation in terms of undulatory mechanics and relativistic geometrodynamics. We note, in fact, that the quantum recurrence of ordinary particles enters into the equations of motions in formal duality with the extra dimensional dynamics of a Kaluza-Klein theory. The kinematics of the particle in a generic interaction scheme can be described as modulations of the spacetime recurrences and encoded in corresponding geometrodynamics. The quantization can be obtained semiclassically by means of boundary conditions, so that the interference of the classical paths with different windings numbers associated to the resulting recurrences turns out to be described by the ordinary Feynman Path Integral. This description applied to the Quark-Gluon-Plasma freeze-out yields basic aspects of AdS/QCD phenomenology.

Annals of Physics, 2023

If "quantization is an art" then it can be greatly refined by adopting cyclic time formalism. In ... more If "quantization is an art" then it can be greatly refined by adopting cyclic time formalism. In past papers we have proven the effectiveness of a formulation of physics based cyclic relativistic time. In this letter we are able to demonstrate in a general way, by using theorems of Geometric Quantization, that the Poisson brackets of intrinsically cyclic time dynamics directly imply the ordinary canonical commutation relations and the other Dirac's rules of canonical Quantum Mechanics. In other words, according to our results, the canonical quantization is an implicit way of imposing intrinsically cyclic time dynamics without explicitly saying that time is a cyclic dimension.

Annals of Physics, 2022

If "quantization is an art" then it can be greatly refined by adopting cyclic time formalism. In ... more If "quantization is an art" then it can be greatly refined by adopting cyclic time formalism. In past papers we have proven the effectiveness of a formulation of physics based on cyclic relativistic time. Now we are able to demonstrate in a general way, by using theorems of Geometric Quantization, that the Poisson brackets of intrinsically cyclic time dynamics directly imply the ordinary canonical commutation relations and the other Dirac's rules of canonical Quantum Mechanics. In other words, according to our result, the canonical quantization is an implicit way of imposing intrinsically cyclic time dynamics without explicitly saying that time is a cyclic dimension.

By investigating the Feynman Path Integral we prove that elementary quantum particle dynamics are... more By investigating the Feynman Path Integral we prove that elementary quantum particle dynamics are directly associated to single compact (cyclic) world-line parameters, playing the role of the particles' internal clock, implicit in ordinary undulatory mechanics and indirectly observed for instance in Time Crystals. This allows us to formulate a novel purely four-dimensional stringy description of elementary particles as possible physics beyond quantum mechanics. The novelty of this approach is that quantum mechanics originates from a non-trivial compact nature of the minkowskian space-time. Our result is a further evidence in support of Elementary Cycles Theory (ECT), which in previous papers has been proven to be consistent with known physics from theoretical particle physics to condensed matter. Here we provide additional conceptual arguments in support to this novel unified scenario of quantum and relativistic physics, potentially deterministic, and fully falsifiable having no fine-tunable parameters. The first evidences of such new physics characterized by ultra-fast cyclic time dynamics will be observed by probing quantum phenomena with experimental time accuracy of the order of 10 −21 sec. Considerations about the emergence of the arrow of time from the realm of pure, zero temperature, quantum physics governed by intrinsic time periodicity are also provided. Concerning Einstein's dilemma "God does not play dice" we conclude that, all in all, "God" would have no fun playing quantum dice.

Beyond Peaceful Coexistence, 2016

Elementary Cycles Theory is a self-consistent, unified formulation of quantum and relativistic ph... more 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.

Journal of Physics: Conference Series, 2015

Cellular Automata (CA) are represented at an effective level as intrinsic periodic phenomena, cla... more 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.

In undulatory mechanics the rest mass of a particle is associated to a rest periodicity known as ... more 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.

Besides the purely digital or analog interpretation of reality there is a third possibility which... more Besides the purely digital or analog interpretation of reality there is a third possibility which incorporates important aspects of both. This is the cyclic formulation of elementary systems, in which elementary particles are represented as classical strings vibrating in compact space-time dimensions with periodic boundary conditions. We will address these cyclic solutions as "de Broglie internal clocks". They constitute the deterministic gears of a consistent semi-classical description of quantum relativistic physics, providing in addition an appealing formulation of the notion of time.

If "quantization is an art" then it can be greatly refined by adopting cyclic time formalism. In ... more If "quantization is an art" then it can be greatly refined by adopting cyclic time formalism. In past papers we have proven the effectiveness of a formulation of physics based cyclic relativistic time. In this letter we are able to demonstrate in a general way, by using theorems of Geometric Quantization, that the Poisson brackets of intrinsically cyclic time dynamics directly imply the ordinary canonical commutation relations and the other Dirac's rules of canonical Quantum Mechanics. In other words, according to our results, the canonical quantization is an implicit way of imposing intrinsically cyclic time dynamics without explicitly saying that time is a cyclic dimension.

In Elementary Cycles theory elementary quantum particles are consistently described as the manife... more In Elementary Cycles theory elementary quantum particles are consistently described as the manifestation of ultra-fast relativistic spacetime cyclic dynamics, classical in the essence. The peculiar relativistic geometrodynamics of Elementary Cycles theory yields de facto a unification of ordinary relativistic and quantum physics. In particular its classical-relativistic cyclic dynamics reproduce exactly from classical physics first principles all the fundamental aspects of Quantum Mechanics, such as all its axioms, the Feynman path integral, the Dirac quantisation prescription (second quantisation), quantum dynamics of statistical systems, non-relativistic quantum mechanics, atomic physics, superconductivity, graphene physics and so on. Furthermore the theory allows for the explicit derivation of gauge interactions, without postulating gauge invariance, directly from relativistic geometrodynamical transformations, in close analogy with the description of gravitational interaction in...

With simple but rigorous arguments we prove that the ordinary second quantization of bosonic and ... more With simple but rigorous arguments we prove that the ordinary second quantization of bosonic and fermionc fields is fully equivalent to constraining the elementary degrees of freedom of the classical fields to have intrinsically periodic dynamics in time. This result confirms and extends the equivalence obtained in previous papers for general Hamiltonian systems in terms of canonical quantization, for elementary relativistic particle also in terms of the Feynman Path Integrals, as well as other remarkable correspondences of both phenomenological and theoretical fundamental interest.

By investigating the Feynman Path Integral we infer a novel stringy description of elementary par... more By investigating the Feynman Path Integral we infer a novel stringy description of elementary particles, characterized by single compact (cyclic) world-line parameters playing the role of the particles' internal clocks. Elementary particle dynamics are characterized by intrinsic periodicity in time, as implicit in undulatory mechanics and indirectly confirmed by recent developments in Time Crystals. The resulting theory has been proven in previous papers to be consistent with known physics from theoretical particle physics to condensed matter. It suggests a novel unified scenario of quantum and relativistic physics, potentially deterministic, and fully falsifiable having no fine-tunable parameters. The first evidences of such new physics could be observed by probing quantum phenomena with experimental time accuracy of the order of 10 −21 sec. We conclude with considerations about the entropic arrow of time.