The analysis of long economic cycles allows us to understand long-term worldsystem dynamics, to develop forecasts, to explain crises of the past, as well as the current global economic crisis. The article offers a historical sketch of research on K-waves; it analyzes the nature of Kondratieff waves that are considered as a special form of cyclical dynamics that emerged in the industrial period of the World System history. It offers a historical and theoretical analysis of K-wave (...) class='Hi'>dynamics in the World System framework; in particular, it studies the influence of the long wave dynamics on the changes of the world GDP growth rates during the last two centuries. Special attention is paid to the interaction between Kondratieff waves and Juglar cycles. The article is based on substantial statistical data, it extensively employs quantitative analysis, contains numerous tables and diagrams. On the basis of the proposed analysis it offers some forecasts of the world economic development in the next two decades. The article concludes with a section that presents a hypothesis that the change of K-wave upswing and downswing phases correlates significantly with the phases of fluctuations in the relationships between the World-System Core and Periphery, as well as with the World System Core changes. (shrink)

The problem of energy and its localization in general relativity is critically re-examined. The Tolman energy integral for the Eddington spinning rod is analyzed in detail and evaluated apart from a single term. It is shown that a higher order iteration is required to find its value. Details of techniques to solve mathematically challenging problems of motion with powerful computing resources are provided. The next phase of following a system from static to dynamic to final quasi-static state is described.

When Einstein formulated his special relativity, he developed his dynamics for point particles. Of course, many valiant efforts have been made to extend his relativity to rigid bodies, but this subject is forgotten in history. This is largely because of the emergence of quantum mechanics with wave-particle duality. Instead of Lorentz-boosting rigid bodies, we now boost waves and have to deal with Lorentz transformations of waves. We now have some nderstanding of plane waves or running waves in the (...) covariant picture, but we do not yet have a clear picture of standing waves. In this report, we show that there is one set of standing waves which can be Lorentz-transformed while being consistent with all physical principle of quantum mechanics and relativity. It is possible to construct a representation of the Poincaré group using harmonic oscillator wave functions satisfying space-time boundary conditions. This set of wave functions is capable of explaining the quantum bound state for both slow and fast hadrons. In particular it can explain the quark model for hadrons at rest, and Feynman’s parton model hadrons moving with a speed close to that of light. (shrink)

The meaning of the wave function and its evolution are investigated. First, we argue that the wave function in quantum mechanics is a description of random discontinuous motion of particles, and the modulus square of the wave function gives the probability density of the particles being in certain locations in space. Next, we show that the linear non-relativistic evolution of the wave function of an isolated system obeys the free Schrödinger equation due to the requirements of (...) spacetime translation invariance and relativistic invariance. Thirdly, we argue that the random discontinuous motion of particles may lead to a stochastic, nonlinear collapse evolution of the wave function. A discrete model of energy-conserved wavefunction collapse is proposed and shown consistent with existing experiments and our macroscopic experience. Besides, we also give a critical analysis of the de Broglie-Bohm theory, the many-worlds interpretation and other dynamical collapse theories, and briefly discuss the issues of unifying quantum mechanics and relativity. (shrink)

Some important correlations between medium-term economic cycles (7–11 years) known as Juglar cycles and long (40–60 years) Kondratieff cycles are presented in this paper. The research into the history of this issue shows that this aspect is insufficiently studied. Meanwhile, in our opinion, it can significantly clarify both the reasons of alternation of upswing and downswing phases in K-waves and the reasons of relative stability of the length of these waves. It also can provide the certain means for forecasting. The (...) authors show that adjacent 2–4 medium cycles form the system the important characteristic of which is the dynamics of economic trend. The latter can be upswing (active) or downswing (depressive). The mechanisms of formation of such medium-term trends and changing tendencies are explained. The presence of such clusters of medium cycles (general duration of which is 20–30 years) determines to a large degree the long-wave dynamics and the characteristics of its timing. Thus, not medium-term J-cycles depend on the character of K-wave phase as Kondratieff supposed, but the character of the cluster of J-cycles determines significantly the character of K-wave phases. (shrink)

Quantum mechanics teaches that before detection, knowledge of particle position is, at best, probabilistic, and classical trajectories are seen as a feature of the macroscopic world. These comments refer to detected particles, but we are still free to consider the motions generated by the wave equation. Within hydrogen, the Schrodinger equation allows calculation of kinetic energy at any location, and if this is identified as the energy of the wave, then radial momentum, allowing for spherical harmonics, becomes available. (...) The distance across the real zone of radial momentum is found to match semi-integer wavelengths of the adjusted matter wave, consistent with what is expected from a standing wave condition. The approach is extended to include orbital motions, where it is established that the underlying wave, which has direction and wavelength at each location, forms a series of connected trajectories, which are shown to be ellipses orientated at various angles to the equatorial plane. This suggests that wave trajectories, rather than particle trajectories, are still a feature of the hydrogen atom. The finding allows the reason for the coincidence between energy results derived by Sommerfeld’s classical trajectories and the Schrodinger wave equation to be appreciated. The result has implications when the relativistic situation is considered, as Sommerfeld’s correct deduction of the relativistic energy levels of hydrogen well before Dirac derived his wave equation has long been somewhat puzzling. (shrink)

It’s generally taken to be established that no local hidden-variable theory is possible. That conclusion applies if our world is a _thread_, where a thread is a world where particles follow trajectories, as in Pilot-Wave theory. But if our world is taken to be a _set_ of threads locality can be recovered. Our world can be described by a _many-threads_ theory, as defined by Jeffrey Barrett in the opening quote. Particles don’t follow trajectories because a particle in our world (...) is a set of _elemental_ particles following different trajectories, each in a thread. The “elements” of a superposition are construed as subsets in such a way that a particle in our world only has definite position if all its set-theoretic elements are at corresponding positions in each thread. Wavefunction becomes a 3D density distribution of particles’ subset measures, the stuff of an electron’s “probability cloud”. Current Pilot-Wave theory provides a non-relativistic dynamics for the elemental particles (approximated by Many Interacting Worlds theory). EPR-Bell nonlocality doesn’t apply because the relevant measurement outcomes in the absolute elsewhere of an observer are always in superposition. (shrink)

Extended Abstract This book introduces and develops a new, universal method of the scientific comprehension of reality providing the objective, ...

It is hypothesized that de Broglie’s ‘matter waves’ provide a dynamical basis for Minkowski spacetime in an antisubstantivalist or relational account. The relativity of simultaneity is seen as an effect of the de Broglie oscillation together with a basic relativity postulate, while the dispersion relation from finite rest mass gives rise to the differentiation of spatial and temporal axes. Thus spacetime is seen as not fundamental, but rather as emergent from the quantum level. A result by Solov’ev which demonstrates that (...) time is not an applicable concept at the quantum level is adduced in support of this claim. Finally, it is noted that de Broglie waves can be seen as the “bridge of becoming” discussed by ( 2005 ). (shrink)

The spatial dynamics of the optical emission from an array of 50 times 50 individual microcavity plasma devices is investigated. The array is operated in argon and argon-neon mixtures close to atmospheric pressure with an ac voltage. The optical emission is analysed with phase and space resolution. It has been found that the emission is not continuous over the entire ac period, but occurs once per half period. Each of the observed emission phases shows a self-pulsing of the discharge, (...) with several bursts of emission of fixed width and repetition rate. The number of emission bursts depends on applied voltage and frequency. Spatially resolved measurements prove that the emission bursts are formed by overlapping emission pulses from single discharge cavities. Intensity differences between positive and negative half-wave can be interpreted through spatially resolved measurements of single discharge cavities. (shrink)

We review the present status of wave-particle duality of single-photon states in the context of some recent experiments. In particular, Bohr's complementarity principle is critically reexamined. It is explained in detail how this principle is confronted in these experiments and how a contradiction with the notion of “mutual exclusiveness” of classical wave and particle pictures emerges.

Surfers both cooperate and compete around a scarce natural resource – ocean waves suited for surfing – often with a fraught mix of motives and feelings, pro-social and anti-social. Much as surfers constantly adapt to a dynamic wave environment, their pro- and anti-social motives readily mix and shift, based on their interpretation of quickly changing context. What we learn from surfers is something materialistic focus on self-interest and realities of scarcity or abundance might de-emphasize or miss: a culture of (...) interpretation and reasoning (e.g. ‘localism’) is as important in the formation of shifting pro- and anti-social attitudes as the material reality of wave scarcity or abundance itself. (shrink)

A general conceptual framework for large-scale neocortical dynamics based on data from many laboratories is applied to a variety of experimental designs, spatial scales, and brain states. Partly distinct, but interacting local processes (e.g., neural networks) arise from functional segregation. Global processes arise from functional integration and can facilitate (top down) synchronous activity in remote cell groups that function simultaneously at several different spatial scales. Simultaneous local processes may help drive (bottom up) macroscopic global dynamics observed with electroencephalography (...) (EEG) or magnetoencephalography (MEG). A local/global dynamic theory that is consistent with EEG data and the proposed conceptual framework is outlined. This theory is neutral about properties of neural networks embedded in macroscopic fields, but its global component makes several qualitative and semiquantitative predictions about EEG measures of traveling and standing wave phenomena. A more general “metatheory” suggests what large-scale quantitative theories of neocortical dynamics may be like when more accurate treatment of local and nonlinear effects is achieved. The theory describes the dynamics of excitatory and inhibitory synaptic action fields. EEG and MEG provide large-scale estimates of modulation of these synaptic fields around background levels. Brain states are determined by neuromodulatory control parameters. Purely local states are dominated by local feedback gains and rise and decay times of postsynaptic potentials. Dominant local frequencies vary with brain region. Other states are purely global, with moderate to high coherence over large distances. Multiple global mode frequencies arise from a combination of delays in corticocortical axons and neocortical boundary conditions. Global frequencies are identical in all cortical regions, but most states involve dynamic interactions between local networks and the global system. EEG frequencies may involve a “matching” of local resonant frequencies with one or more of the many, closely spaced global frequencies. Key Words: binding problem; cell assemblies; coherence; EEG; limit cycles; neocortical dynamics; pacemakers; phase locking; spatial scale; standing waves; synchronization. Footnotes1 The relationship between the synaptic action fields proposed in the target article and cell assemblies is clarified with Figure R1 (p. 416) of the Response. (This figure was not available to Commentators. (shrink)

This book focuses on showing how the ideas central to the new wave oj dynamic systems studies may also form the basis for a new and distinctive theory of human development where both global order and local variability in behaviour emerge together from the same organising dynamical interactions. This also sharpens our understanding of the weaknesses of the traditional formal, structuralist theories. Conversely, dynamical models have their own matching set of problems, many of which are consiously explored here. Less (...) readily acknowledged, the youthfulness of this field means that many of the studies presented here struggle to pass beyond speculative metaphor. Nonetheless, the field is shown to be one of vigour, intelligence and great promise. (shrink)

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 field κ (not the quantum axiomatics) appears to be responsible for quantum effects. The field κ can escape from the matter and produce pairs.

This article describes new aspects of hysteresis dynamics which have been uncovered through computer experiments. There are several motivations to be interested in fast-slow dynamics. For instance, many physiological or biological systems display different time scales. The bursting oscillations which can be observed in neurons, β-cells of the pancreas and population dynamics are essentially studied via bifurcation theory and analysis of fast-slow systems (Keener and Sneyd, 1998; Rinzel, 1987). Hysteresis is a possible mechanism to generate bursting oscillations. (...) A first part of this article presents the computer techniques (the dotted-phase portrait, the bifurcation of the fast dynamics and the wave form) we have used to represent several patterns specific to hysteresis dynamics. This framework yields a natural generalization to the notion of bursting oscillations where, for instance, the active phase is chaotic and alternates with a quiescent phase. In a second part of the article, we emphasize the evolution to chaos which is often associated with bursting oscillations on the specific example of the Hindmarsh–Rose system. This evolution to chaos has already been studied with classical tools of dynamical systems but we give here numerical evidence on hysteresis dynamics and on some aspects of the wave form. The analytical proofs will be given elsewhere. (shrink)

While research in HCI on dealing with cultural issues when designing ICTs tended to adopt fixed and taxonomic views, recent theoretical perspectives closer to the social sciences have called for attending to the contingent, fluid, and dynamic aspects of the notion of culture. In this article, we contribute to translating these perspectives into an approach for informing design. We focus on abandoning prior conceptions of culture to allow the discovery of cultural differences through inductive field research while engaging with the (...) target community. This allows a view on cultural difference that is generative for design: it is unique to each case, and it also remains close to the concerns of community members. We base our approach on Basile Zimmermann’s (2015) waves and forms framework, and we illustrate it through our engagement and design with VOCI, a local voluntary community of tech-savvy university students in Syria between 2011 and 2015. (shrink)

There is some complementarity of models for the origin of the electroencephalogram (EEG) and neural network models for information storage in brainlike systems. From the EEG models of Freeman, of Nunez, and of the authors' group we argue that the wavelike processes revealed in the EEG exhibit linear and near-equilibrium dynamics at macroscopic scale, despite extremely nonlinear – probably chaotic – dynamics at microscopic scale. Simulations of cortical neuronal interactions at global and microscopic scales are then presented. The (...) simulations depend on anatomical and physiological estimates of synaptic densities, coupling symmetries, synaptic gain, dendritic time constants, and axonal delays. It is shown that the frequency content, wave velocities, frequency/wavenumber spectra and response to cortical activation of the electrocorticogram (ECoG) can be reproduced by a “lumped” simulation treating small cortical areas as single-function units. The corresponding cellular neural network simulation has properties that include those of attractor neural networks proposed by Amit and by Parisi. Within the simulations at both scales, sharp transitions occur between low and high cell firing rates. These transitions may form a basis for neural interactions across scale. To maintain overall cortical dynamics in the normal low firing-rate range, interactions between the cortex and the subcortical systems are required to prevent runaway global excitation. Thus, the interaction of cortex and subcortex via corticostriatal and related pathways may partly regulate global dynamics by a principle analogous to adiabatic control of artificial neural networks. (shrink)

The mechanical aspect of momentum, basically its role as a tangent vector of the trajectory of the particle, is related to properties of the momentum found in the contexts of Hamilton's optico-mechanical analogy, de Broglie's matter waves, and quantum mechanics. These properties are treated in a systematic way by considering an approximation of the particle mechanical action of the particle by a step function. A special method of discretizing partial differential equations is shown to be required. Using this method, a (...) discrete dynamics is developed. It is shown that particle dynamics can be regarded as the limit case of the discrete dynamics as the step functions tend to the continuous ones. The equation of motion of a free particle in an arbitrary reference system is deduced in two ways: (i) in continuous dynamics by making use of the invariance of action within changes of reference systems, and (ii) by taking the mentioned limit in discrete dynamics of an equation which expresses that the mechanical and wave-theoretical aspects of the momentum are interrelated in specific way. (shrink)

Nowadays, young people from all over the world are fascinated by the mass popular culture of South Korea. This process of spread of Korean culture in the world came to be called “Korean current” or “Korean wave”, which became a kind of “Korean cultural boom”. The spread of the “Korean wave” has been compared to a viral disease that first spread throughout East Asia, then Southeast Asia, and eventually engulfed the entire world. Despite the fact that the phenomenon (...) of the “Korean wave” had a sufficient public resonance, due to its novelty and unexpected emergence, it remains an understudied subject of scientific study, especially in the West and in particular in Ukraine. That is why the topic of this study is relevant nowadays. The aim of the article to investigate the mass cultural phenomenon “Korean wave”, to analyze its sources and dynamics of development, to characterize its inherent features, to determine the aspects of its spread and popularization, to investigate its influence on world society and culture, as well as to find out the peculiarities of its influence on the consciousness of the masses. The research methodology is based on a philosophical and cultural analysis of such a mass phenomenon of modern artistic culture as the “Korean wave”. When writing the work, we tried to adhere to the principles of objectivism, systematicity, comprehensiveness and multifactoriality. To comply with these principles, we used a number of general scientific and special methods in the research: comparative-historical, axiological, phenomenological, logical, retrospective, analytical-synthetic, socio-critical, systemic, structural-functional, generalizing and statistical. Adherence to these principles and methods made it possible to avoid bias and tendencies in judgments. Results. Such a mass cultural phenomenon as the “Korean wave” is a kind of entanglement of opposite principles: modern Western (progressive-innovative) and traditional Eastern (Confucian) cultural values. It manifests itself in the spread of fashion to everything Korean (or to be more precise, South Korean): not only K-pop, dramas, toys, clothes and other types of South Korean entertainment industry, but also Korean cuisine, household items, etc. In the past, despite the geographical proximity and cultural connectivity, for political reasons the countries of Asia largely suppressed cultural exchanges among themselves. China, Korea and Japan began to develop cultural ties between themselves relatively recently. It should also be noted that South Korea is a country that was previously considered a cultural periphery in international exchanges, now it plays an important role in the regionalization of mass culture as a whole in East and Southeast Asia and the product produced by it is considered a center of mass culture and one of the ways of cultural exchange throughout Asia. Conclusions. To sum up, we can say that the great popularity of the “Korean wave” is a kind of leap in the modern culture of South Korea. This phenomenon is represented not only by the synthesis of modern Western (European-American) culture and traditional Eastern (Korean), but also by the fact that in our time it has turned into a powerful locomotive of the entire South Korean economy, a kind of “dragon’s head”. The phenomenon of the “Korean wave” helps to raise the level of the image of South Korea as a prosperous country, and also visually demonstrates the modern South Korean culture to the world. The “Korean Wave” demonstrates to other countries in Asia and to the whole world in general that South Korea is not a periphery in our time, it is no longer a third world country, and it is as modern an urbanized country as most of the developed countries of the West, which has not only modernized its culture, but also spread it, and even managed to influence other countries and their cultures. (shrink)

Abstract:Sundarbans attracts worldwide attention for being the largest single block halophytic mangrove forest and for Royal Bengal Tiger. Along with ecological conservation, recent scholarly works demonstrate the importance of mangrove preservation for withstanding climate change-induced natural calamities. These conservation programs following the trend of the West separate human settlements from the forest and restrict human access to forest for maintaining wilderness; this I mark as the first wave of territorialization. Based on a case study of one of the village (...) islands in Sundarbans, adjacent to the core forest, I illustrate how in this dynamic delta the recent changes in the islanders' outlook toward life and livelihoods, as induced by the first wave of territorialization, leading them to embrace a second wave of territorialization and to what extent that is impacting the sustainability of human settlements in this dynamic delta. It also elaborates as soon as islanders’ living practice turns into livelihoods, they become reluctant to take up those traditional livelihoods as being perceived ‘risky,’ ‘painful,’ ‘uncertain,’ and ‘destructive for Sundarbans.’ The villagers' intention to find a better and more respected livelihood directs them toward the city and leads them to normalize and in turn concretize the already-imposed forest—settlement territorial division. This concretization of the boundary is termed here as the second wave of territorialization. I posit the upshot of this is a double layer of distancing, which is detrimental to the longterm sustainability of nature—human relationship in this dynamic delta. In a nutshell, this article argues that the inherent understanding about this liminal landscape that these islanders gather while engaging with traditional livelihoods are crucial to combat the massive climate change-induced alterations that this delta is going to witness in the near future. Therefore, this disengagement is not only devastating for the ecology of the Sundarbans; it is going to be even more threatening to the human settlements of this area. (shrink)

The analysis of the Helmholtz equation is shown to lead to an exact Hamiltonian system describing in terms of ray trajectories, for a stationary refractive medium, a very wide family of wave-like phenomena (including diffraction and interference) going much beyond the limits of the geometrical optics (“eikonal”) approximation, which is contained as a simple limiting case. Due to the fact, moreover, that the time independent Schrödinger equation is itself a Helmholtz-like equation, the same mathematics holding for a classical optical (...) beam turns out to apply to a quantum particle beam moving in a stationary force field, and leads to a system of Hamiltonian equations providing exact and deterministic particle trajectories and dynamical laws, and containing the laws of Classical Mechanics in the eikonal limit. (shrink)

Concentrating upon applications that are most relevant to modern physics, this valuable book surveys variational principles and examines their relationship to dynamics and quantum theory. Stressing the history and theory of these mathematical concepts rather than the mechanics, the authors provide many insights into the development of quantum mechanics and present much hard-to-find material in a remarkably lucid, compact form. After summarizing the historical background from Pythagoras to Francis Bacon, Professors Yourgrau and Mandelstram cover Fermat's principle of least time, (...) the principle of least action of Maupertuis, development of this principle by Euler and Lagrange, and the equations of Lagrange and Hamilton. Equipped by this thorough preparation to treat variational principles in general, they proceed to derive Hamilton's principle, the Hamilton-Jacobi equation, and Hamilton's canonical equations. An investigation of electrodynamics in Hamiltonian form covers next, followed by a resume of variational principles in classical dynamics. The authors then launch into an analysis of their most significant topics: the relation between variational principles and wave mechanics, and the principles of Feynman and Schwinger in quantum mechanics. Two concluding chapters extend the discussion to hydrodynamics and natural philosophy. Professional physicists, mathematicians, and advanced students with a strong mathematical background will find this stimulating volume invaluable reading. Extremely popular in its hardcover edition, this volume will find even wider appreciation in its first fine inexpensive paperbound edition. (shrink)

The article explores the rich and varied experiences of a collective writing project, unfolding through an anecdote involving Charlie, a young boy who creatively disrupted conventional photography methods. This incident, during an evening promenade by the sea in Ericeira (Portugal), epitomizes the project's embrace of playfulness and exploration of diverse perspectives–materialized through Charlie's playful insistence on experimenting with different angles. The event embodied the group’s approach to writing, leading to a collective inquiry into the interplay of ages, angles, and other (...) themes like waves, threads, shadows, and liminal spaces. The project, driven by the Between Ages Collective, began with informal gatherings in Plymouth, UK, and expanded into a year-long online reading group. Participants, spanning different generations and academic stages, shared various materials, including films, picture books, and scholarly texts, which inspired individual contributions. Influenced by the Collective's collaborative spirit, these contributions explore the concept of 'between ages' – a metaphorical and literal space of transition and fluidity. Contributors were invited to craft pieces that delve into the 'between ages' theme, often exploring serendipitous moments that transform interactions and experiences. The writing tries to capture a sense of openness and curiosity, embracing the uncertainties and ambiguities inherent in the process. The works do not strictly adhere to conventional academic or narrative forms but rather emerge from the collective's shared experiences, including cooking, eating, swimming and walking together. The article suggests that these writings are not meant to be definitive or conclusive but are explorations that invite readers to engage with the mundane and profound textures of everyday life. The stories and themes explored are marked by their diversity in style, rhythm, and imagery, ranging from reflections on the philosophy of shadows to the profound implications of intergenerational and interspecies relationships. The Collective’s work is presented as an ongoing experiment in thinking and writing together, with each piece offering unique insights into the fluid and often blurred boundaries between different states of being. This openness to the in-between spaces brings into question the notion of fixed identities and experiences, inviting a more nuanced understanding of the relational dynamics that shape existence. The article allows the readers to delve into these narratives and engage with the myriad ways they resonate with broader themes of being, storying, and connecting. (shrink)

Trajectories along which phase-space points of the Wigner distribution function move are computed for a Gaussian wave packet moving under the influence of a weak perturbative potential. The potentials considered are a potential step, a potential barrier, and a periodic potential. Trajectories computed exhibit the complex, nonlocal nature of quantum dynamics. It is seen that quantum interference, which takes place in the time development of the wave packet, is taken care of in a simple way by the (...) Wigner trajectory method presented here. (shrink)

The geometro-stochastic quantization of a gauge theory for extended objects based on the (4, 1)-de Sitter group is used for the description of quantized matter in interaction with gravitation. In this context a Hilbert bundle ℋ over curved space-time B is introduced, possessing the standard fiber ℋ $_{\bar \eta }^{(\rho )} $ , being a resolution kernel Hilbert space (with resolution generator $\tilde \eta $ and generalized coherent state basis) carrying a spin-zero phase space representation of G=SO(4, 1) belonging to (...) the principal series of unitary irreducible representations determined by the parameter ρ. The bundle ℋ, associated to the de Sitter frame bundle P(B, G), provides a geometric arena with built-in fundamental length parameter R (taken to be of the order of 10−13 cm characterizing hadron physics) yielding, in the presence of gravitation, a quantum kinematical framework for the geometro-stochastic description of spinless matter described in terms of generalized quantum mechanical wave functions, Ψ x ρ (ξ, ζ), defined on #x210B;. By going over to a nonlinear realization of the de Sitter group with the help of a section ξ(x) on the soldered bundle E, associated to P, with homogeneous fiber V′4⋍G/H, one is able to recover gravitation in a de Sitter gauge invariant manner as a gauge theory related to the Lorentz subgroup H of G. ξ(x) plays the dual role of a symmetry-reducing and an extension field. After introducing covariant bilinear source currents in the fields Ψ x ρ (ξ, ζ) and their adjoints determined by G-invariant integration over the local fibers in ℋ, a quantum fiber dynamical (QFD) framework is set up for the dynamics at small distances in B determining the geometric quantities beyond the classical metric of Einstein's theory through a set of current-curvature field equations representing the source equations for axial vector torsion and the de Sitter boost contributions to the bundle connection (the latter defining the soldering forms of the Cartan connection in P(B, G) in the nonlinear gauge). The presented bundle framework yields a theory for quantized material objects in interaction with gravitation, the long-range metrical part of which remains classical. (shrink)

We apply a method analogous to the eikonal approximation to the Maxwell wave equations in an inhomogeneous anisotropic medium and geodesic motion in a three dimensional Riemannian manifold, using a method which identifies the symplectic structure of the corresponding mechanics, to the five dimensional generalization of Maxwell theory required by the gauge invariance of Stueckelberg's covariant classical and quantum dynamics. In this way, we demonstrate, in the eikonal approximation, the existence of geodesic motion for the flow of mass (...) in a four dimensional pseudo-Riemannian manifold. These results provide a foundation for the geometrical optics of the five dimensional radiation theory and establish a model in which there is mass flow along geodesics. We then discuss the interesting case of relativistic quantum theory in an anisotropic medium as well. In this case the eikonal approximation to the relativistic quantum mechanical current coincides with the geodesic flow governed by the pseudo-Riemannian metric obtained from the eikonal approximation to solutions of the Stueckelberg–Schrödinger equation. The locally symplectic structure which emerges is that of a generally covariant form of Stueckelberg's mechanics on this manifold. (shrink)

This paper reviews recent applications of the Einstein- Rosen type space-times to some problems of modern cosmology. An extensive overview of inhomogeneous universes filled with gravitational waves, classical fields, and relativistic fluids is given. The dynamics of primordial inhomogeneities, such as gravitational and matter waves and shocks, their interactions, and the global evolution of the models considered, is presented in detail.

In 1927 Louis de Broglie proposed an alternative approach to standard quantum mechanics known as the double solution program (DSP) where particles are represented as bunched fields or solitons guided by a base (weaker) wave. DSP evolved as the famous de Broglie-Bohm pilot wave interpretation (PWI) also known as Bohmian mechanics but the general idea to use solitons guided by a base wave to reproduce the dynamics of the PWI was abandoned. Here we propose a nonlinear (...) scalar field theory able to reproduce the PWI for the Schrödinger and Klein–Gordon guiding waves. Our model relies on a relativistic ‘phase harmony’ condition locking the phases of the solitonic particle and the guiding wave. We also discuss an extension of the theory for the N particles cases in presence of entanglement and external (classical) electromagnectic fields. (shrink)

We illustrate, using a simple model, that in the usual formulation the time-component of the Klein–Gordon current is not generally positive definite even if one restricts allowed solutions to those with positive frequencies. Since in de Broglie's theory of particle trajectories the particle follows the current this leads to difficulties of interpretation, with the appearance of trajectories which are closed loops in space-time and velocities not limited from above. We show that at least this pathology can be avoided if one (...) adapts in a covariant form the formulation of relativistic point particle dynamics proposed by Gitman and Tyutin. (shrink)

The de Broglie–Bohm pilot-wave theory provides an illuminating candidate solution to the philosophical problems that plague orthodox quantum theory. But the pilot-wave theory also has the potential to be of practical use to, for example, quantum chemists and condensed matter physicists who study many-body problems. In particular, the proprietary pilot-wave concept of the “conditional wave function” provides a novel perspective on and justification for a standard approach to many-body quantum systems in which the N-particle wave (...) function is replaced by N single-particle wave functions. Moreover, this uniquely Bohmian “small entanglement approximation” can be understood as the most basic level in a hierarchy of well-defined approximation schemes. Here we explain all of this theoretical background and then explore several of these approximation schemes numerically in the context of a simple toy model system. (shrink)

This paper examines the tension between wave function realism and interpretations of gauge symmetries within quantum mechanics. We explore how traditional views of gauge symmetries as descriptive redundancies challenge the principles of wave function realism, which regards the wave function as a real entity. By noting that, through the case study of a quantum particle in an electromagnetic field, gauge transformations impact the wave function’s phase, we present a dilemma for wave function realism. We discuss (...) potential resolutions, including redefining ontological commitments to accommodate gauge-invariance. (shrink)

This paper inquires into the nature of intertheoretic relations between psychology and neuroscience. This relationship has been characterized by some as one in which psychological explanations eventually will fall away as otiose, overthrown completely by neurobiological ones. Against this view it will be argued that it squares poorly with scientific practices and empirical developments in the cognitive neurosciences. We analyse a case from research on visual perception, which suggests a much more subtle and complex interplay between psychology and neuroscience than (...) a complete take-over of the former by the latter. In the case of vision, cross-theory influences between psychology and neuroscience go back and forth, resulting in refinement in both disciplines.We interpret this case study as showing that:(1) Mutual co-evolution of psychological and neurobiological theories, exemplifying persisting top-down influences from psychology, is a more empirically adequate way to describe psychoneural theory relations than a view on co-evolution, favoured by reductionists, which regards the cross-theory contributions from psychology as merely heuristically useful with no enduring influence on neurobiological theorizing;(2) In research on vision, discovering (or hypothesizing) the neural basis of functions vindicates psychological approaches, it does not eliminate them;(3) Current work on vision shows that many perceptual phenomena must be understood in terms of dynamical interactions between an observer and his/her environment. Therefore, we argue that internalist characterizations of the visual system must be supplemented with externalist accounts that address these reciprocal observer-environment interactions involved in vision. Such processes seem quite different from (internal) cellular and molecular ones, and as such seem to lie outside the scope of neuroscientific inquiry. We conclude that psychoneural reduction or elimination is implausible as a meta-theoretical prediction of theory choice in empirical work. Instead, this case study of vision shows that both psychology and neuroscience contribute to, and complement one another in the study of visual perception. 1. Psychoneural reductionism1.1Introduction1.2New Wave Reductionism1.3NWR and psychology: three characteristics of psychoneural reductionism1.4NWR and the problem of mutual feedback1.4.1The ‘Mere Heuristics’ claim1.4.2The disappearance of psychology as an irrelevant historical accident1.5Summary: three claims of NWR on psychoneural reduction2. Vision: a case study2.1Introduction2.1.1Three opposing claims2.1.2Psychology and neuroscience of vision: the orthodoxy2.2Testing claim 1: vanishing heuristics or persisting influences?2.2.1From what and where to perception and action2.2.2Real co-evolution: more than vanishing heuristics2.2.3First moral2.3Testing claim 2: replacement or vindication?2.3.1Perception and action revisited: mapping approaches on systems2.3.2Vindicating psychological approaches2.3.3Second moral2.4Testing claim 3: equipotent image or explanatory loss?2.4.1Perception and action extended: including the environment2.4.2Distinguishing levels, widening explanations2.4.3Third moral3. Conclusion: three morals. (shrink)

In this paper, we study the diversity of interaction solutions of a shallow water wave equation, the generalized Hirota–Satsuma–Ito equation. Using the Hirota direct method, we establish a general theory for the diversity of interaction solutions, which can be applied to generate many important solutions, such as lumps and lump-soliton solutions. This is an interesting feature of this research. In addition, we prove this new model is integrable in Painlevé sense. Finally, the diversity of interactive wave solutions of (...) the gHSI is graphically displayed by selecting specific parameters. All the obtained results can be applied to the research of fluid dynamics. (shrink)

The Michelson-Morley result is described empirically by generalized Doppler equations. If the phase of a light wave is not invariant, in agreement with the quantum nature of light, special-relativistic kinematics need not be assumed. Einstein particle dynamics and Maxwell-Lorentz electrodynamics in a moving system are derived without assuming special-relativistic kinematics. An alternative explanation for the decay rate of moving radioactive particles is presented. The observation of a third-order Doppler effect may yield the velocity of the closed laboratory.

DNA methylation plays a role in the repression of gene expression in animal cells. In the mouse preimplantation embryo, most genes are unmethylated but a wave of de novo methylation prior to gastrulation generates a bimodal pattern characterized by unmethylated CpG island‐containing housekeeping genes and fully modified tissue‐specific genes. Demethylaton of individual genes then takes place during cell type specific differentiation, and this demodification may be a required step in the process of transcriptional activation. DNA modification is also involved (...) in the maintenance of gene repression on the inactive X chromosome in female somatic cells and the marking of parental alleles at genomically imprinted gene loci. (shrink)

Isolated neutron stars undergoing non-radial oscillations are expected to emit gravitational waves in the kilohertz frequency range. To date, radio astronomers have located about 1,300 pulsars, and can estimate that there are about 2×108 neutron stars in the galaxy. Many of these are surely old and cold enough that their interiors will contain matter in the superfluid or superconducting state. In fact, the so-called glitch phenomenon in pulsars (a sudden spin-up of the pulsar's crust) is best described by assuming the (...) presence of superfluid neutrons and superconducting protons in the inner crusts and cores of the pulsars. Recently there has been much progress on modelling the dynamics of superfluid neutron stars in both the Newtonian and general relativistic regimes. We will discuss some of the main results of this recent work, perhaps the most important being that superfluidity should affect the gravitational waves from neutron stars (emitted, for instance, during a glitch) by modifying both the rotational properties of the background star and the modes of oscillation of the perturbed configuration. Finally, we present an analysis of the so-called zero-frequency subspace (i.e., the space of time-independent perturbations) and determine that it is spanned by two sets of polar (or spheroidal) and two sets of axial (or toroidal) degenerate perturbations for the general relativistic system. As in the Newtonian case, the polar perturbations are the g-modes which are missing from the pulsation spectrum of a non-rotating configuration, and the axial perturbations should lead to two sets of r-modes when the degeneracy of the frequencies is broken by having the background rotate. (shrink)

The de Broglie–Bohm interpretation is a no-collapse interpretation, which implies that we are in principle surrounded by empty waves generated by all particles of the universe, empty waves that will never collapse. It is common to establish an analogy between these pilot-waves and 3D radio-waves, which are nearly devoided of energy but carry nevertheless information to which we may have access after an amplification process. Here we show that this analogy is limited: if we consider empty waves in configuration space, (...) an effective collapse occurs when a detector clicks and the 3ND empty wave associated to a particle may not influence another particle (even if these two particles are identical, e.g. bosons as in the example considered here). (shrink)

We consider a model of the state evolution of relativistic vector bosons, which includes both the dynamical equations for the particle four-velocity and the equations for the polarization four-vector evolution in the field of a nonlinear plane gravitational wave. In addition to the gravitational minimal coupling, tidal forces linear in curvature tensor are suggested to drive the particle state evolution. The exact solutions of the evolutionary equations are obtained. Birefringence and tidal deviations from the geodesic motion are discussed.

An elementary review of the origin of quantum theory, with focus on the nature of the quantum dynamic variables, reveals the essential wave-likeness of quantum dynamics. The introduction of the concept of point-particle entities resulted from over-use of classical perspectives, and an issue of language: conflation of the concepts of point-particle localization, and discreteness of quantum detections. Keeping in mind the distinction between point-localization and discreteness of quantum exchange, it is clear that there is no experimental evidence for (...) point-localization. A simple review of the origin of quantum theory, and review of several experiments designed to explore "wave-particle duality" and "complementarity" support this perspective. Normal 0 false false false EN-AU X-NONE X-NONE MicrosoftInternetExplorer4. (shrink)

The archipelago context of Maluku represents the living dynamics of Christian communities in that area, which becomes an ecclesiological foundation of the Gereja Protestan Maluku. Christianity, the embryo of the GPM, is the fruit of the evangelical works by European missionaries, particularly Dutch missions from the 18th century onwards. The Dutch-type Christianity had been adapted into models so that the form of institution and Protestant teachings in Maluku moved dynamically following socio-political and cultural changes along with the colonial and (...) the post-colonial history of Indonesian and Malukan society. It attempts to describe the manifestation of the Calvinism-model of Christianity that is continuously being contextualised through absorbing various elements of worldview, tradition, and the religiosity of the archipelago society. Cultural hermeneutics is used to interpret the socio-cultural phenomena in which the church lives in and to construct its theological understanding about Christian identity. The ecclesiological construction of GPM, in turn, is structured by plural social orders. The reality also influences the perspective about GPM from many different worldviews of the Malukan archipelago society. The contextual ecclesiological perspective, therefore, is constructed based on intermingled understandings that theology of the church can only be built by considering multifold dimensions of a particular society. The result of this research pertains to the constructive understanding of a specific ecclesial context of the GPM in their struggles for theologising their existence as God’s people and, at the same time, as an integral part of certain society in Maluku and Indonesia.Contribution: As the living contextual church that struggles for proclaiming God’s love, the GPM has a theological responsibility to conduct its church mission based on its ecclesiological understanding and practices contextually. The article contributes to the enrichment of the theological discourse on the crucial roles of a church in Maluku, in the eastern part of Indonesia. (shrink)

Machine generated contents note: -- Series Editors' PrefaceAcknowledgementsNotes on ContributorsHow Things Are Elsewhere; W. Schwarz Information Change and First-Order Dynamic Logic; B.Kooi Interpreting and Applying Proof Theories for Modal Logic; F.Poggiolesi & G.Restall The Logic(s) of Modal Knowledge; D.Cohnitz On Probabilistically Closed Languages; H.Leitgeb Dogmatism, Probability and Logical Uncertainty; B.Weatherson & D.Jehle Skepticism about Reasoning; S.Roush, K.Allen & I.HerbertLessons in Philosophy of Logic from Medieval Obligations; C.D.Novaes How to Rule Out Things with Words: Strong Paraconsistency and the Algebra of Exclusion; (...) F.Berto Lessons from the Logic of Demonstratives; G.RussellThe Multitude View on Logic; M.Eklund Index. (shrink)

Since the introduction of ultrasound technology in the 1960s as a tool to visibly articulate the interiors of the pregnant body, feminist scholars across disciplines have provided extensive critique regarding the visual culture of fetal imagery. Central to this discourse is the position that fetal images occupy- as products of a visualizing technology that at once penetrates and severs pregnant and fetal bodies. This visual excision, feminist scholars describe, has led not only to an erasure of the female body from (...) fetal images but also to an erasure of the pregnant body in social, political, and biomedical discourses. Vital to feminist scholarship is, thereby, an engagement with fetal images in ways that reinscribe the pregnant body onto fetal images and into political discourses pertaining to reproductive rights. In this paper, similar to the feminist aim, I am interested in engaging with fetal images as way to gain agency for pregnant women and their bodies. The critical question that I ask is: Can we conceive of medical technology in an embodied way -one that interacts organically, dynamically, and through multisensory dimensions with pregnant bodies? In attempting to answer this question, I turn to Bruno Latour and Gilles Deleuze’s articulations of how bodies and machines interact to produce visual fact. (shrink)

This paper explores several paths a distinctive third wave of extended cognition might take. In so doing, I address a couple of shortcomings of first- and second-wave extended cognition associated with a tendency to conceive of the properties of internal and external processes as fixed and non-interchangeable. First, in the domain of cognitive transformation, I argue that a problematic tendency of the complementarity model is that it presupposes that socio-cultural resources augment but do not significantly transform the brain’s (...) representational capacities during diachronic development. In this paper I show that there is available a much more dynamical explanation—one taking the processes of the brain’s enculturation into patterned practices as transforming the brain’s representational capacities. Second, in the domain of cognitive assembly, I argue that another problematic tendency is an individualistic notion of cognitive agency, since it overlooks the active contribution of socio-cultural practices in the assembly process of extended cognitive systems. In contrast to an individualistic notion of cognitive agency, I explore the idea that it is possible to decentralize cognitive agency to include socio-cultural practices. (shrink)

The “Arab Spring” was a surprising event not just because predicting revolutions is a difficult task, but because current theories of revolution are ill equipped to explain revolutionary waves where interactive causal mechanisms at different levels of analysis and interactions between the units of analysis predominate. To account for such dynamics, a multidimensional social science of revolution is required. Accordingly, a meta-framework for revolutionary theory that combines multiple levels of analysis, multiple units of analysis, and their interactions is offered. (...) A structured example of theory building is then given by detailing how the development of world cultural models and practices challenge existing political structures, affect mobilization processes, and make diffusion more likely. A structured example of study design using qualitative comparative analysis of 16 Middle Eastern and North African countries provides support for the interaction of subnational conditions for mobilization, state-centered causes, and transnational factors, including a country’s linkage to world society, as one explanation of the Revolutions of 2011. (shrink)