arXiv subjects

Andrei P. Kirilyuk

Publications and source records attributed to Andrei P. Kirilyuk.

34 records · Page 2Linked to original sources

arXiv2004

Complex-Dynamic Cosmology and Emergent World Structure

Universe structure emerges in the unreduced, complex-dynamic interaction process with the simplest initial configuration (two attracting homogeneous fields, quant-ph/9902015). The unreduced interaction analysis gives intrinsically creative cosmology, describing the real, explicitly emerging world structure with dynamic randomness on each scale. Without imposing any postulates or entities, we obtain physically real space, time, elementary particles with their detailed structure and intrinsic properties, causally complete and unified version of quantum and relativistic behaviour, the origin and number of naturally unified fundamental forces, and classical behaviour emergence in closed systems (gr-qc/9906077). Main problems of standard cosmology and astrophysics are consistently solved in this extended picture (without introduction of any additional entities), including those of quantum cosmology and gravity, entropy growth and time, "hierarchy" of elementary particles, "anthropic" difficulties, space-time flatness, and "missing" ("dark") mass and energy. The observed universe structure and laws can be presented as manifestations of the universal symmetry (conservation) of complexity providing the unified, irregular, but exact (never "broken") Order of the World (physics/0404006).

physics.gen-ph↗

arXiv2004

Dynamically Multivalued Self-Organisation and Probabilistic Structure Formation Processes

The unreduced, universally nonperturbative analysis of arbitrary many-body interaction process reveals the irreducible, purely dynamic source of randomness. It leads to the universal definition of real system complexity (physics/9806002), where the internally chaotic self-organisation emerges as a limiting case of complex interaction dynamics (physics/0211071). It extends also the concept of "self-organised criticality" and corresponds to formation of distinct enough (but always internally chaotic) structures occurring if the system is far from characteristic frequency resonances. Transition to the opposite limiting regime of multivalued interaction dynamics, that of uniform (global) chaos, takes place around the main frequency resonance(s), which provides the absolutely universal criterion of global chaos onset, applicable to any kind of system, as well as the new, extended interpretation of the phenomenon of resonance itself. As a result, one obtains the causally complete description of world structure emergence and dynamics, from elementary particles to consciousness, including practically important and fundamentally substantiated propositions for self-organisation research and applications.

physics.gen-ph↗

arXiv2004

Universal Symmetry of Complexity and Its Manifestations at Different Levels of World Dynamics

The unreduced, universally nonperturbative analysis of arbitrary interaction process, described by a quite general equation, provides the truly complete, "dynamically multivalued" general solution that leads to dynamically derived, universal definitions of randomness, probability, chaoticity, complexity, fractality, self-organisation, and other properties, extending their axiomatic introduction in the conventional, dynamically single-valued (unitary) theory (physics/9806002, physics/0211071). Any real system emergence, structure, and behaviour can be expressed now by the universal law of conservation, or symmetry, of complexity that unifies extended versions of any (correct) symmetry, law, or "principle". Both the observed world structure and its unreduced dynamics result from that universal, unique symmetry, instead of formal imposition of separated, broken and simplified symmetries upon the existing, postulated structures in the unitary world "model". Whereas any unitary "symmetry" is regular and therefore practically always "spontaneously broken" (violated) in the real world dynamics, the universal symmetry of complexity remains always exact, but unites different, irregular, dynamically nonlinear, and intrinsically unstable patterns of unreduced world structure. It also provides the rigorous, dynamically derived expression of the ``arrow of time" (generalised entropy growth law) applicable to any real, necessarily complex system, from elementary particle to the universe. Particular applications of the universal symmetry of complexity, from fundamental physics to biology and theory of consciousness, provide old mysteries solutions and new research perspectives.

physics.gen-ph↗

arXiv2004

Creativity and the New Structure of Science

A qualitatively new, much more liberal and efficient organisation of science is proposed and justified, in connection with growing debate about further role and development of fundamental science. Although the key ideas can be explained with the help of "common sense" arguments accessible to a "general" audience, they are based on the rigorous analysis within the recently advanced "universal concept of complexity" (physics/9806002, physics/0211071), which can be applied, due to its universality, also to science structure itself considered as a complex system. We demonstrate thus the application of the ultimate criterion of completeness of a system of knowledge (and viability of related intelligence) that should be able to derive consistent, provable, and practically relevant conclusions about its own purpose, sense, evolution, and current state.

physics.gen-ph↗

arXiv2003

The Universal Dynamic Complexity as Extended Dynamic Fractality: Causally Complete Understanding of Living Systems Emergence and Operation

The universal concept of complexity by the dynamic redundance paradigm and the ensuing concept of extended dynamic fractality (physics/9806002) are applied here to higher levels of complexity corresponding to living systems. After recalling the framework of unreduced dynamic complexity and dynamically probabilistic fractality (see also physics/0211071), we concentrate on the novelties they propose for the case of living systems with respect to the conventional, dynamically single-valued theory. The phenomenon of life can now be demystified and consistently understood as a particular case of the universal symmetry of complexity realised by unreduced complexity transformation from dynamic information into (extended) entropy that preserves the total complexity amount and involves its high enough levels. This intrinsically creative, and therefore realistic, version of bio-physical 'reductionism' reveals the explicit, dynamical source of adaptability and qualitatively new entity emergence and leads to essential, well substantiated changes in the strategy of research in such fields as evolution theory, genetics and medicine, allowing for the unique and efficient solution of the accumulated 'difficult' problems.

physics.gen-ph↗

arXiv1999

Double Solution with Chaos: Dynamic Redundance and Causal Wave-Particle Duality

A system of two interacting, physically real, initially homogeneous fields is considered as the simplest basis for the world construction in which one of them, a 'protofield' of electromagnetic nature, is attracted to another protofield, or medium, responsible for the eventually emerging gravitational effects. The interaction process is analysed within the generalised 'effective (optical) potential method' in which we avoid any usual perturbative reduction. It then appears that for generic system parameters the protofields, instead of simply 'falling' one onto another and forming a fixed 'bound state', are engaged in a self-sustained process of nonlinear pulsation, or 'quantum beat', consisting in unceasing cycles of self-amplified auto-squeeze, or 'collapse' ('reduction'), of a portion of the extended protofields to a small volume followed by the inverse phase of extension. Centres of consecutive reductions form the physical 'points' of thus emerging, intrinsically discrete space, and each of them is 'selected' by the system in a causally random fashion among many equally possible versions (or 'realisations'). This is a manifestation of the dynamic redundance forming the unified basis of dynamically complex (chaotic) behaviour of any real system with interaction (physics/9806002). The sequence of reduction events constitutes the elementary physical 'clock' of the world providing it with the unceasing, intrinsically irreversible time flow. The complex-dynamical quantum beat process in the system of two interacting protofields is observed as the massive elementary particle (like the electron) which naturally possesses the property of physically real wave-particle duality completing the double solution concept of Louis de Broglie (see also quant-ph/9902016, gr-qc/9906077).

quant-ph↗

arXiv1999

Double Solution with Chaos: Completion of de Broglie's Nonlinear Wave Mechanics and Its Intrinsic Unification with the Causally Extended Relativity

A system of two interacting protofields with generic parameters is unstable with respect to unceasing cycles of nonlinear squeeze (reduction) to randomly chosen centres and reverse extension which form the causally probabilistic process of quantum beat observed as elementary particle (quant-ph/9902015). Here we show that the emerging wave-particle duality, space, and time lead to the equations of special relativity and quantum mechanics thus providing their causal extension and unification. Relativistic inertial mass (energy) is universally defined as the temporal rate (frequency) of the chaotic quantum beat process(es). The same complex dynamical processes and mass account for universal gravitation, since any reduction event in the electromagnetic protofield involves also the (directly unobservable) gravitational protofield thus increasing its tension and influencing quantum beat frequencies of other particles. This complex dynamical mechanism of universal gravitation provides causal extension of general relativity intrinsically unified with causal quantum mechanics and special relativity, as well as physical origin and unification of all the four 'fundamental forces' (also gr-qc/9906077). The dynamic origin of the Dirac quantization rules is also revealed and used for the first-principles derivation of the Dirac and Schroedinger equations describing the same irreducibly complex, internally nonlinear interaction processes within field-particles and their simplest systems (quant-ph/9511034 - quant-ph/9511038). The classical, dynamically localised behaviour naturally emerges as a higher level of complexity appearing as formation of elementary bound systems (like atoms).

quant-ph↗

arXiv1999

Universal gravitation as a complex-dynamical process, renormalised Planckian units, and the spectrum of elementary particles

The new, complex-dynamical mechanism of the universal gravitation naturally incorporating dynamical quantization, wave-particle duality, and relativity of physically emerging space and time (quant-ph/9902015,16) provides the realistic meaning and fundamentally substantiated modification of the Planckian units of mass, length, and time approaching them closely to the extreme values observed for already discovered elementary particles. This result suggests the important change of research strategy in high-energy/particle physics, displacing it towards the already attained energy scales and permitting one to exclude the existence of elementary objects in the inexplicably large interval of parameters separating the known, practically more than sufficient set of elementary species and the conventional, mechanistically exaggerated values of the Planckian units. This conclusion is supported by the causally complete (physically and mathematically consistent) picture of the fundamental levels of reality derived, without artificial introduction of any structure or 'principle', from the unreduced analysis of the (generic) interaction process between two primal, physically real, but a priori structureless entities, the electromagnetic and gravitational protofields. The naturally emerging phenomenon of universal dynamic redundance (multivaluedness) of interaction process gives rise to the intrinsically unified hierarchy of unreduced dynamic complexity of the world, starting from the lowest levels of elementary objects, and explains the irreducible limitations of the basically single-valued approach of the canonical science leading to the well-known 'mysteries', separations, and loss of certainty.

gr-qc↗

arXiv1999

Quantum Mechanics with Chaos: Correspondence Principle, Measurement and Complexity

The true dynamical randomness is obtained as a natural fundamental property of deterministic quantum systems. It provides quantum chaos passing to the classical dynamical chaos under the ordinary semiclassical transition, which extends the correspondence principle to chaotic systems. In return one should accept the modified form of quantum formalism (presented by the Schroedinger equation) which, however, does not contradict the ordinary form and the main postulates of quantum mechanics. It introduces the principle of the fundamental dynamic multivaluedness (redundance) extending the quantum paradigm to complex dynamical behaviour. Moreover, a causal solution to the well-known problems of the foundation of quantum mechanics, those of quantum indeterminacy and wave reduction, is also found using the same method. The concept of the fundamental dynamic uncertainty thus established is universal in character and provides a unified scheme of the complete description of arbitrary complex system of any origin (physics/9806002). This scheme incorporates, in particular, universal definitions of complexity, (non)integrability, and general solution, as well as the physically complete notion of probability. One obtains thus a self-consistent hierarchic picture of the world characterised by a (high) non-zero complexity and containing the intrinsic causal randomness, where the causally extended quantum mechanics can be consistently interpreted as several lowest levels of complexity (quant-ph/990215,16).

chao-dyn↗

arXiv1999

Causal Wave Mechanics and the Advent of Complexity. I. Dynamic multivaluedness

Two major deviations from causality in the existing formulations of quantum mechanics, related respectively to quantum chaos and indeterminate wave reduction, are eliminated within the new, universal concept of dynamic complexity. The analysis involves a new paradigm for description of a system with interaction, the principle of dynamic multivaluedness (redundance), and the ensuing concept of the fundamental dynamic uncertainty. It is shown that both the wave reduction and truly unpredictable (chaotic) behaviour in quantum systems can be completely and causally understood as a higher sublevel of the same dynamic complexity that provides the causally complete picture of the unified wave-particle duality and relativity at its lowest level (quant-ph/9902015,16). The presentation is divided into five parts. The first three parts deal with intrinsic randomness in Hamiltonian (isolated) quantum systems as the basic case of dynamical chaos. In the last two parts a causal solution to the problem of quantum indeterminacy and wave reduction is proposed. Part I introduces the method of effective dynamical functions as a generalisation of the optical potential formalism. The method provides a legal transformation of the Schroedinger equation revealing the hidden multivaluedness of interaction process, i. e. its self-consistent, dynamical splitting into many equally real, but mutually incompatible branches, called 'realisations'. Each realisation incorporates the usual "complete" set of eigenfunctions and eigenvalues for the entire problem. The method is presented in detail for the Hamiltonian system with periodic (not small) perturbation, both in its time-independent and time-dependent versions.

quant-ph↗

arXiv1999

Causal Wave Mechanics and the Advent of Complexity. II. Dynamic uncertainty in quantum systems and the correspondence principle

The intrinsic multivaluedness of interaction process, revealed in Part I of this series of papers, is interpreted as the origin of the true dynamical (in particular, quantum) chaos. The latter is causally deduced as unceasing series of transitions, dynamically probabilistic by their origin, between the equally real, but incompatible 'realisations' (modes of interaction) of a system. The obtained set of realisations form the causally derived, intrinsically complete "space of events" providing the crucial extension of the notion of probability and the method of its first-principle calculation. The fundamental dynamic uncertainty thus revealed is specified for Hamiltonian quantum systems and applied to quantum chaos description in periodically perturbed systems. The ordinary semiclassical transition in our quantum-mechanical results leads to exact reproduction of the main features of chaotic behaviour of the system known from classical mechanics, which permits one to "re-establish" the correspondence principle for chaotic systems (inevitably lost in any their conventional, single-valued description). The causal dynamical randomness in the extended quantum mechanics is not restricted, however, to semiclassical conditions and generically occurs also in essentially quantum regimes, even though partial "quantum suppression of chaos" does exist and is specified in our description, as well as other particular types of the quantum (truly) chaotic behaviour.

quant-ph↗

arXiv1999

Causal Wave Mechanics and the Advent of Complexity. III. Universal structure of complexity

The universal dynamic uncertainty, discovered in Parts I and II of this series of papers for the case of Hamiltonian quantum systems, is further specified to reveal the hierarchical structure of levels of dynamically redundant 'realisations' which takes the form of the intrinsically probabilistic 'fundamental dynamical fractal' of a problem and determines fractal character of the observed quantities. This intrinsic fractality is obtained as a natural, causally derived property of dynamic behaviour of a system with interaction and the corresponding complete solution. Every branch of the fundamental dynamical fractal of a problem, as well as the probability of its emergence, can be obtained within the extended nonperturbative analysis of the main dynamic equation (Schroedinger equation in our case), contrary to basically restricted imitations of fractality within the canonical, single-valued approach. The results of the dynamical chaos analysis in Hamiltonian quantum systems, Parts I-III, are then subjected to discussion and generalisation. The physical origins of the dynamic uncertainty are analysed from various points of view. The basic consequences, involving essential extension of the conventional, unitary (= single-valued) quantum mechanics, are summarised. Finally, we emphasize the universal character of the emerging notions of dynamic multivaluedness (or redundance), causal randomness (or dynamic uncertainty), first-principle probability, (non)integrability, general solution, and physical complexity applicable to real dynamical systems of any kind.

quant-ph↗

arXiv1999

Causal Wave Mechanics and the Advent of Complexity. IV. Dynamical origin of quantum indeterminacy and wave reduction

The concept of fundamental dynamic uncertainty (multivaluedness) developed in Parts I-III of this work and used to establish the consistent understanding of genuine chaos in Hamiltonian systems provides also causal description of the quantum measurement process. The modified Schroedinger formalism involving multivalued effective dynamical functions reveals the dynamic origin of quantum measurement indeterminacy as the intrinsic instability in the compound system of 'measured object' and (dissipative) 'instrument' with respect to splitting into spatially localised 'realisations'. As a result, the originally wide measured wave catastrophically (and really!) "shrinks" around a random accessible point thus losing all its 'nonlocal properties' with respect to other points/realisations. The dissipativity of one of the interacting objects (serving as 'instrument') is reduced to its (arbitrarily small) openness towards other systems (levels of complexity) and determines the difference between quantum measurement and quantum chaos, the latter corresponding to an effectively isolated system of interacting (micro-) objects. We do not use any assumptions on particular "classical", "macroscopic", "stochastic", etc. nature of the instrument or environment: physical reduction and indeterminacy dynamically appear already in interaction between two microscopic (quantum) deterministic systems, the object and the instrument, possessing just a few degrees of freedom a part of which, belonging to the instrument, should correspond to locally starting, arbitrarily weak excitation. This dynamically indeterminate wave reduction occurs in agreement with the postulates of the conventional quantum mechanics, including the rule of probabilities, which transforms them into consequences of the dynamic uncertainty.

quant-ph↗

arXiv1999

Causal Wave Mechanics and the Advent of Complexity. V. Quantum field mechanics

The physical consequences of the analysis performed in Parts I-IV are outlined within a scheme of the complete quantum (wave) mechanics called quantum field mechanics and completing the original ideas of Louis de Broglie by the dynamic complexity concept. The total picture includes the formally complete description at the level of the "average" wave function of Schroedinger type that shows dynamically chaotic behaviour in the form of either quantum chaos (Parts I-III), or quantum measurement (Part IV) with causal indeterminacy and wave reduction. This level is only an approximation, though often sufficient, to a lower (and actually the lowest accessible) level of complexity containing the causally complete version of the unreduced, nonlinear "double solution" proposed by Louis de Broglie. The extended 'double solution with chaos' describes the state of a nonlinear material field and includes the unstable high-intensity "hump" moving chaotically within the embedding smooth wave (quant-ph/9902015,16). The involvement of chaos causally understood within the same concept of dynamic complexity (multivaluedness) provides, at this lower level, de Broglie's "hidden thermodynamics" now, however, without the necessity for any real "hidden thermostat". The chaotic reduction of the "piloting" Schroedinger wave, at the higher sublevel of complexity, conforms with the detailed 'wandering' of the virtual soliton at the lower sublevel. The proposed dynamic multivaluedness (redundance) paradigm serves as the basis for a self-consistent hierarchic picture of the world with a (high) non-zero complexity (and thus irreducible randomness), where the complete extension of quantum mechanics is causally interpreted as several lowest levels of complexity.

quant-ph↗

arXiv1998

Universal Concept of Complexity by the Dynamic Redundance Paradigm: Causal Randomness, Complete Wave Mechanics, and the Ultimate Unification of Knowledge

The fundamental impasses and ruptures in various domains of the canonical, unitary science, or the 'end of science', become the more and more evident. The natural unity of being is recovered within a universal nonperturbative method leading to the dynamic redundance paradigm. It is shown that the unreduced behaviour of any nontrivial (isolated) system includes many equally real, but incompatible dynamic regimes, each of them being roughly equivalent to an ordinary 'complete' solution of the unitary science. Therefore the regimes should 'spontaneously' and randomly replace one another, which provides a universal, purely dynamic origin of randomness. The discovered dynamic redundance leads to the universal, reality-based concept of dynamic complexity and its permanently developing hierarchical structure, alias the world. Its lowest levels give the causally complete mechanics of dynamically quantized elementary fields, extending the double solution found by Louis de Broglie. One obtains a physically complete solution for the 'mysteries' of quantum mechanics, unifyng it with the extended, causal versions of relativity (emergent space and time), quantum and classical gravity (dynamical mass), field theory (electric charge and spin), particle physics, and cosmology. The same key features of the unreduced dynamic complexity determine behaviour of any system at higher levels of complexity described by a case of the single, universal equation in its two related versions, the extended Lagrange-Hamilton (trajectorial) and Schroedinger (distributional) equations. The end of the unitary science opens the renaissance of the ultimately complete and universal understanding initiated by Rene Descartes (but then mechanistically falsified), which is confirmed by many sound, practically important results.

physics.gen-ph↗

arXiv1998

New Concept of Dynamic Complexity in Quantum Mechanics and Beyond

The qualitatively new concept of dynamic complexity in quantum mechanics is based on a new paradigm appearing within a nonperturbational analysis of the Schroedinger equation for a generic Hamiltonian system. The unreduced analysis explicitly provides the complete, consistent solution as a set of many incompatible components ('realisations') which should permanently and probabilistically replace one another, since each of them is 'complete' in the ordinary sense. This discovery leads to the universally applicable concept of dynamic complexity and self-consistent, realistic resolution of the stagnating problems of quantum chaos, quantum measurement, indeterminacy and wave reduction. The peculiar, 'mysterious' character of quantum behaviour itself is seen now as a result of a dynamically complex, intrinsically multivalued behaviour of interacting fields at the corresponding lowest levels of the (now completely causal) structure of reality. Incorporating the results of the canonical theories as an over-simplified limiting case, this new approach urgently needs support, since its causality and completeness are directly extendible to arbitrary cases of complex behaviour of real systems, in sharp contrast to the dominating inefficient empiricism of 'computer experimentation' with primitive mechanistic (i. e. dynamically single-valued) 'models' of the irreducibly multivalued reality.

quant-ph↗