On the Fundamental Properties of Coupled Oscillating Systems

Contemporary Physics, 2013

Quantum biology is an emerging field of research that concerns itself with the experimental and theoretical exploration of non-trivial quantum phenomena in biological systems. In this tutorial overview we aim to bring out fundamental assumptions and questions in the field, identify basic design principles and develop a key underlying theme -the dynamics of quantum dynamical networks in the presence of an environment and the fruitful interplay that the two may enter. At the hand of three biological phenomena whose understanding is held to require quantum mechanical processes, namely excitation and charge transfer in photosynthetic complexes, magneto-reception in birds and the olfactory sense, we demonstrate that this underlying theme encompasses them all, thus suggesting its wider relevance as an archetypical framework for quantum biology.

In the scientific contemporary history, the "determinism" ensures that we perceive with our senses the infinite possibilities of being that atoms allow to form, since we have the culture of atomism, which we are overcoming in the name of dynamic holism. In the dynamic holism, mathematics and geometry are the means that we use to represent reality, but these are not sufficient if they are not accompanied by our "sixth sense", also called intuition; it follows that any research process that is not accompanied by an intellectual passion is destined to fail. From this perspective, Science must admit that the emotional field is part of the scientific knowledge and with this admission, it will not only save itself, but through its example it will support the entire system of cultural and emotional life of which it is an integral part. The "Science of Resonances", which comes from our passion for understanding what we are, and what we are doing on this immense and harmonious "Brilliant Garland" called the Universe, accompanies us in the search for the "reasons", at the basis of both various crises that humanity is going through, and of the mechanisms that regulate the Universe. These mechanisms start from the concept of "wave-particle" dualism, which in the "Science of Resonances" is replaced with that of "Field and Resonance". In the “Field Resonance” there is no separation between the "condensed matter" and the "Quantum Void" or "Space" or "Ether", from where everything is born and everything returns enriched by the experience gained in the passage into the state of imperfection. The state of imperfection in the Eastern philosophies, as for example in the Chinese Tao, it is seen as the vital spark (Qi) that arises from the accumulation of the two opposites Yin and Yang, while in the Ayurvedic conception, the being resonates on harmonious frequencies in a continuous evolution, which go beyond the passage in life in the so-called condensed matter. The "Science of Resonances" also teaches us that the "Universal Evolutionary Arrow" is generated by a pulsation in the shape of a Fibonacci Golden Spiral, which oscillates between two limits, of which the lower limit never passes from the value 0, but passes from value 0.5, which represents the state of minimum energy possible in the Quantum Vacuum or Space, and the upper limit, is seen as the interruption of the evolution of a perfect evolutionary process, well represented by the Riemann hypothesis. The Universal pulsation, therefore, turns out to be the first generating act that forms Time which, in turn, generates the first condensed mass, the hydrogen atom. The latter, through analogue and non-digital logic, has the possibility of making its electron "jump" across seven energy levels, which create a non-chaotic "energy symphony" capable of respecting the functioning of Nature, at opposite of the probabilistic representation given to us by the Schrödinger equation. In this analogical conception of Nature, the concepts of Intelligence and Consciousness are not separable, and have always represented the great questions of those who decide to deal with the mysteries still inherent to the Universe, and where to justify the magic of Universal Life, the presence of an intrinsic Universal Intelligence. Finally, it is interesting to note that the "Science of Resonances", applied in Technology, will lead to important spin-offs in the fields of nano-technologies, new composite materials, health in Biological Life, means of Information Transmission, and means of Transport.

The Foundations of Quantum Mechanics - Historical Analysis and Open Questions - Cesena 2004, 2006

The rise of quantum physics is analyzed by outlining the historical context in which different conceptions of Nature (mechanistic, thermodynamic and electromagnetic ones) were in competition to give a foundation to physics. In particular, electromagnetic conception roots of quantum physics are showed: since Larmor's first trials till to Poincaré's quantum electromagnetic mechanics and to Heisenberg's new mechanics.

Foundations of Science, 2016

Although the present paper looks upon the formal apparatus of quantum mechanics as a calculus of correlations, it goes beyond a purely operationalist interpretation. Having established the consistency of the correlations with the existence of their correlata (measurement outcomes), and having justified the distinction between a domain in which outcome-indicating events occur and a domain whose properties only exist if their existence is indicated by such events, it explains the difference between the two domains as essentially the difference between the manifested world and its manifestation. A single, intrinsically undifferentiated Being manifests the macroworld by entering into reflexive spatial relations. This atemporal process implies a new kind of causality and sheds new light on the mysterious nonlocality of quantum mechanics. Unlike other realist interpretations, which proceed from an evolving-states formulation, the present interpretation proceeds from Feynman's formulation of the theory, and it introduces a new interpretive principle, replacing the collapse postulate and the eigenvalueeigenstate link of evolving-states formulations. Applied to alternatives involving distinctions between regions of space, this principle implies that the spatiotemporal differentiation of the physical world is incomplete. Applied to alternatives involving distinctions between things, it warrants the claim that, intrinsically, all fundamental particles are identical in the strong sense of numerical identical. They are the aforementioned intrinsically undifferentiated Being, which manifests the macroworld by entering into reflexive spatial relations.

2007

It is shown that a coherent understanding of all quantized phenomena, including those governed by unitary evolution equations as well as those related to irreversible quantum measurements, can be achieved in a scenario of successive nonequilibrium phase transitions, with the lowest hierarchy of these phase transitions occurring in a ``resonant cavity'' formed by the entire matter and energy content of the universe. In this formalism, the physical laws themselves are resonantly-selected and ordered in the universe cavity in a hierarchical manner, and the values of fundamental constants are determined through a Generalized Mach's Principle. The existence of a preferred reference frame in this scenario is shown to be consistent with the relational nature of the origin of physical laws. Covariant unitary evolution is shown to connect smoothly with the reduction of wavefunction in the preferred frame during quantum measurement. The superluminal nature of quantum processes in ...

The European Physical Journal Special Topics

This text presents a brief overview of the recent development of topics addressed by the original papers of this volume related to nonequilibrium phenomena in various (especially mesoscopic) systems and the foundations of quantum physics. A selection of relevant literature is included. 2 The European Physical Journal Special Topics time evolution of systems; quantum to classical transitions; dynamics of quantum phase transitions; and topological states of systems. The above mentioned phenomena, related problems and challenges occur in many fields of physics, astrophysics, chemistry, and biology. As for systems, which enable study of various related questions, mesoscopic systems are especially suitable for this purpose due to their vast variety of structures and parameters. Various systems, of natural and artificial origin, can exhibit mesoscopic features depending on inner parameters of those systems and interactions with their environment. Typical mesoscopic systems can be of nanoscale size, composed from atoms (molecules). Nanoscale structures include not only very small physical structures, but also structures occurring in living cells, as for example complex molecules, proteins and molecular motors. At the same time, nanoscale technologies enable the preparation of well-defined artificial structures composed of between a few to hundreds of atoms (molecules) to create an enormous diversity of systems with well-defined inner parameters which can be influenced by external fields. These structures can be studied by methods of condensed matter physics and quantum optics in such detail that affords a deeper understanding of quantum physics, as represented by quantum interference, entanglement, the uncertainty principle, quantum measurement and what is often termed "non-locality". Of particular interest are carbon allotropes, quantum wires and dots, microcavities, single molecule nanomagnets, molecular motors and active gels, various structures in living cells, as well as specific arrangements featuring cold atoms and molecules which can exhibit macroscopic quantum effects and which can be used for testing methods of quantum many-body theory. Recent advances in technologies have led to enormous improvements of measurement, imaging and observation techniques at microscopic, mesoscopic and macroscopic scales. At the same time, various methods allow investigation into not only equilibrium features, but also time evolution of classical and quantum systems (which are in general far from equilibrium) at different time scales. This increasing ability to study subtle details of the dynamics of systems yields new versions of old questions and creates new challenges in many fields of physics. A good understanding of the time evolution of both classical and quantum systems is essential for an explanation of many observations and experiments of contemporary physics. Observed systems must often be treated as non-equilibrium, open systems in which their behavior is influenced not only by their inner parameters, but also by properties of their environment and time dependent external fields. The theory of non-equilibrium behavior of quantum many-body systems is, however, far from complete. There are lasting and extremely important problems related to modern technologies, including questions of irreversible behavior of real systems in comparison with reversible microscopic laws, emergence of classical macroscopic behavior from microscopic quantum behavior, charge (electron), spin and heat transport, limits to "phenomenological" thermodynamic descriptions, and the problem of how to describe properly open quantum systems far from equilibrium, especially in the case of strong interaction between a small system and reservoirs. Another challenging problem is stochastic behavior of systems caused either by innate features of the systems or by noise related to the fact that the studied systems are open. Studies of quantum and temperature fluctuations, as well as quantum noise, dephasing and dissipation create an essential part of the research in this direction. Recently, various versions of non-equilibrium fluctuation and fluctuationdissipation theorems for quantum systems have been discussed. These studies are of key importance since the fluctuations, dissipation and noise are closely related to the performance and the reliability of both artificially created nano-devices as well as natural "engines", as are for example molecular motors in cells.

Quantum Wave Mechanics 4th ed., 2022

Phase-locking synchronization of interacting mass oscillators associated with gravitation is discussed. Gravitational acceleration as shown by Ivanov results from a frequency discordance or arrhythmia creating an asymmetry of the standing wave interference pattern. A standing wave system undergoes a nodal compression of standing waves as well as an internal phase shift that varies with velocity. Motion of matter represents a continuous symmetry transformation through wave function translation minimizing the frequency difference. Phase and frequency difference of counter-propagating travelling waves within a resonator generates a moving standing wave. A standing wave resonator may be set in motion by external or internal force. A ponderomotive force results from an internal radiation pressure imbalance of disparate source oscillators.

Foundations of physics, 1998

The wave function and spin are shown to be attributes of the dynamics which is a dominant structure of the quantum mechanics. A self-consistent force eld (not the quantum axiomatics) appears to be responsible for quantum e ects. The eld can escape from the matter and enables to produce pairs.

De Broglie matter waves are interpreted as real oscillations of generalized coordinates of some natural oscillatory systems with distributed parameters (NOSs), not as Born's "probability waves". In particular, electrons are considered as excited modes of natural electron-positron oscillatory system (NEPOS), not as "hard" particles. The quantum kinematics (spatio-temporal evolution of NOS wave packets) and the quantum dynamics (interaction by means of stochastic exchange with random energy-momentum quanta between wave packets of different NOSs) are considered in this paper. The energy-momentum is assimilated with the geometry of NOS eigenmodes in Minkowski spacetime. So, their conservation, forbidding any objective "uncertainty", must be a result of only trigonometric relations. The Wheeler-Feynman's concept of "direct interparticle action" is developed for both the quantum radiation-absorption and the Coulomb interaction. The spatio-temporal localization of NEPOS wave packets and Heisenberg's "uncertainty principle" are supposed to be a result of permanent stochastic exchange with random quanta of energy-momentum between NEPOS and other NOSs, mainly, electromagnetic one. The absence of "zero-point oscillations" of the natural oscillatory systems is asserted. The new physical sense of de Broglie wavefunctions is illustrated with the simplest quantum systems "electrons in potential wells".

Journal of Physics A-mathematical and Theoretical, 2009

We investigate the quantum-classical border, the entanglement and decoherence of an analytically solvable model, comprising a first subsystem (a harmonic oscillator) coupled to a driven and damped second subsystem (another harmonic oscillator). We choose initial states whose dynamics is confined to a couple of two-level systems, and show that the maximum value of entanglement between the two subsystems, as measured by concurrence, depends on the dissipation rate to the coupling-constant ratio and the initial state. While in a related model the entropy of the first subsystem (a two-level system) never grows appreciably (for large dissipation rates), in our model it reaches a maximum before decreasing. Although both models predict small values of entanglement and dissipation, for fixed times of the order of the inverse of the coupling constant and large dissipation rates, these quantities decrease faster, as a function of the ratio of the dissipation rate to the coupling constant, in our model. the cavity), conserves its purity and suffers a unitary rotation inside the cavity-exactly as if it were controlled by a classical driving field-without entangling with the electromagnetic field. This unexpected behavior was analyzed in [1] employing several short-time approximations, and it was found that in the time needed to rotate the atom, its state remains almost pure.

2001

We explain the quantum structure as due to the presence of two effects, (a) a real change of state of the entity under influence of the measurement and, (b) a lack of knowledge about a deeper deterministic reality of the measurement process. We present a quantum machine, where we can illustrate in a simple way how the quantum structure arises as a consequence of the two mentioned effects. We introduce a parameter epsilon that measures the size of the lack of knowledge on the measurement process, and by varying this parameter, we describe a continuous evolution from a quantum structure (maximal lack of knowledge) to a classical structure (zero lack of knowledge). We show that for intermediate values of epsilon we find a new type of structure, that is neither quantum nor classical. We apply the model that we have introduced to situations of lack of knowledge about the measurement process appearing in other regions of reality. More specifically we investigate the quantum-like structure...

discrete, indivisible packets or "quanta" of energy. Prior to 1900 physicists pictured the atom as a nucleus that looked something like a plum to which were attached tiny protruding springs. (This was the atomic model hypothesised by J J Thomson and named the plum pudding model ). At the end of each spring was an electron. Giving the atom a jolt, by heating it, for instance, caused its electrons to jiggle (oscillate) on the ends of their springs.

2001

We give a review of some works where it is shown that certain quantum-like features are exhibited by classical systems. Two kinds of problems are considered. The first one concerns the specific heat of crystals (the so called Fermi Pasta Ulam problem), where a glassy behavior is observed, and the energy distribution is found to be of Planck-like type. The second kind of problems concerns the selfinteraction of a charged particle with the electromagnetic field, where an analog of the tunnel effect is proven to exist, and moreover some nonlocal effects are exhibited, leading to a natural hidden variable theory which violates Bell's inequalities.

2012

This paper may be ultimately described as an attempt to make feasible the evolutionary emergence of novelty in a supposedly deterministic world whose behavior is associated with that of the mathematical dynamical systems. It means philosophical implications that the paper needs to address, subsidiarily at least. The work was motivated by the observation of complex oscillatory behaviors in a family of physical devices and related mathematical models, for which there is no known explanation in the mainstream of nonlinear dynamics. The paper begins by describing a nonlinear mechanism of oscillatory mode mixing explaining such behaviors and, through its generalization to richer nonlinear vector fields, establishes a generic dynamical scenario with extraordinary oscillatory possibilities, including expansive growing scalability toward high dimensionalities and through nonlinear multiplicities. The scenario is then used to tentatively explain complex oscillatory behaviors observed in nature like those of turbulent fluids and living brains. Finally, by considering the scenario as a dynamic substrate underlying generic aspects of both the functioning and the genesis of complex behaviors in a supposedly deterministic world, a theoretical framework covering the evolutionary development of structural transformations in the time evolution of that world is built up. The analysis includes attempts to clarify the roles of items often invoked apropos of pathways to complexity like chaos, pattern formation, externally-driven bifurcations, hysteresis, irreversibility, and order through random fluctuations. Thermodynamics, as the exclusive field of physics in providing generic evolutionary criteria, is briefly and synthetically considered from the dynamical systems point of view by trying to elucidate its explanatory possibilities concerning the emergence of complexity. Quantum mechanics gets involved in two different ways: the lack of a dynamical systems perspective in the currently accepted interpretations of that fundamental theory and the indeterminacy issues, and both questions are discussed to point out their consequences. The reported evolutionary framework is far from a complete theory but includes both the elements and the skeleton for its tentative building within feasible philosophical grounds. In the lack of alternatives, one should imagine how could be one of such theories and how it could be built, in order to evaluate our approach. In particular, notice that our approach is to a theory of nothing of the physical world but of the underlying reasons for its ordered and creative functioning, which we interpret independent of that world, i.e., a theory of what the Catalan expression "l'entrellat del món" describes so well.