The single postulate of Coulomb-Clausius potential between charges allows one to derive all of Maxwell's equations with an explicit form for polarizability.

Localised configurations of the free electromagnetic field are constructed, possessing properties of massive, spinning, relativistic particles. In an inertial frame, each configuration travels in a straight line at constant speed, less than the speed of lightc, while slowly spreading. It eventually decays into pulses of radiation travelling at speedc. Each configuration has a definite rest mass and internal angular momentum, or spin. Each can be of “electric” or “magnetic” type, according as the radial component of the magnetic or electric field (...) vanishes in the rest frame, and each has an “antiparticle.” Any such configuration, of electric or magnetic type, is characterized in part by a set of labels (κ, ω0, σ,l, m), where ω0 is the mean of the angular frequencies of the plane waves making up the configuration, σ is the variance of those frequencies, κ is a positive constant with dimensions of action, andl, m are angular momentum “quantum numbers” withl a positive integer andm an integer such that ‖m‖≤l. The rest energy of the “particle” is κω0, its spin is κ ‖m‖, and its lifetime is of the order of 1/σ. Its antiparticle has ω0 replaced by −ω0. (shrink)

QED is a fundamental microscopic theory satisfying all the conservation laws and discrete symmetries C, P, T. Yet, dissipative phenomena, organization, and self-organization occur even at this basic microscopic two-body level. How these processes come about and how they are described in QED is discussed. A possible new phase of QED due to self-energy effects leading to self-organization is predicted.

This is the first in a series of papers in which a method of harmonic analysis in terms of functions over the groupSU(2) is applied to the description of interaction between matter and the electromagnetic field. Carmeli'sSU(2) formulation of Maxwell's equations is extended to anSU(2) formulation of the equations for the electromagnetic vector potential. The four functions which describe the vector potential are expanded in a generalized Fourier series [SU(2) harmonic analysis] and the equations for the coefficients are derived. These (...) equations are not independent of each other, but in a given order they can be solved consecutively one at a time. (shrink)

The mathematical and physical aspects of the conformal symmetry of space-time and of physical laws are analyzed. In particular, the group classification of conformally flat space-times, the conformal compactifications of space-time, and the problem of imbedding of the flat space-time in global four-dimensional curved spaces with non-trivial topological and geometrical structure are discussed in detail. The wave equations on the compactified space-times are analyzed also, and the set of their elementary solutions constructed. Finally, the implications of global compactified space-times for (...) cosmology are discussed. It is argued that the recent discovery of periodic structure of matter distribution on large distances strongly suggests that the global cosmological space-time should be close. Next we analyze the inflation scalar field in the inflationary model of universe evolution considered on the spatially compact Robertson-Walker space-time. It is shown that the energy distribution in this model is periodic and the periods and density decrease with increasing distance, in striking agreement with experimental data. Our model of the universe also provides a definite predictions for the energy distribution, polar and azimuthal, considered as a function of angles θ and φ. These predictions should be tested with the new astronomical data. (shrink)

We use joint probabilities to analyze the EPR argument in the Bohm's example of spins.(1) The properties of distribution functions for two, three, or more noncommuting spin components are explicitly studied and their limitations are pointed out. Within the statistical ensemble interpretation of quantum theory (where only statements about repeated events can be made), the incompleteness of quantum theory does not follow, as the consistent use of joint probabilities shows. This does not exclude a completion of quantum mechanics, going beyond (...) it, by a more general theory of single events, using hidden variables, for example. (shrink)

Recent assertions that the present particle physics is on the path of a “final theory” which cannot be reduced to more fundamental ones is critically examined and confronted with a counter-thesis.

The “theorems” showing the impossibility of ascribing to individual quantum systems a definite value of a set of observables, not necessarily commuting,1–4 are based on the tacit assumption that eachindividual spin component has a discrete dichotomic value. We show explicitly that it is possible to introduce continuous hidden variables for individual spins which avoid these quantum paradoxes without changing any of the observed quantum mechanical results.

We show that it is possible to consider parity and time reversal, as basic geometric symmetry operations, as being absolutely conserved. The observations of symmetry-violating pseudoscalar quantities can be attributed to the fact that some particles, due to their internal structure, are not eigenstates of parity or CP, and there is no reason that they should be. In terms of a model it is shown how, in spite of this, pseudoscalar terms are small in strong interactions. The neutrino plays an (...) essential role in these considerations. (shrink)

The symplectic structures (brackets, Hamilton's equations, and Lagrange's equations) for the Dirac electron and its classical model have exactly the same form. We give explicitly the Poisson brackets in the dynamical variables (x μ,p μ,v μ,S μv). The only difference is in the normalization of the Dirac velocities γμγμ=4 which has significant consequences.

Pauli's five-dimensional Dirac equation in projective space, which results in an anomalous magnetic moment term in four dimensions, is related to the Schuster-Blackett law of the magnetic field of rotating bodies and to the recent results on the gyromagnetic ratio in Kaluza-Klein theories.

Exact wavelet solutions of the wave equation for accelerating potentials are found and applied to single individual events in Stern-Gerlach experiment.

The nonlinear integro-differential equation, obtained from the coupled Maxwell-Dirac equations by eliminating the potential Aμ, is solved by iteration rather than perturbation. The energy shift is complex, the imaginary part giving the spontaneous emission. Both self-energy and vacuum polarization terms are obtained. All results, including renormalization terms, are finite.

The Dirac field and its quanta are obtained from the imposition of an infinite member of Dirac 2 nd class constraints on a system of complex scalar fields having an indefinite internal metric. The spin-1/2 character of the constrained system follows from constraint-induced coupling of the scalar system's independent internal and space-time symmetries, from constraint restrictions on allowed symmetries. The resulting spinor field quanta are seen to exist as a class of “elementary excitations” belonging to a dynamical algebra existing naturally (...) within the system of complex scalar fields. (shrink)

For an arbitrary potential V with classical trajectoriesx=g(t), we construct localized oscillating three-dimensional wave lumps ψ(x, t,g) representing a single quantum particle. The crest of the envelope of the ripple follows the classical orbitg(t), slightly modified due to the potential V, and ψ(x, t,g) satisfies the Schrödinger equation. The field energy, momentum, and angular momentum calculated as integrals over all space are equal to the particle energy, momentum, and angular momentum. The relation to coherent states and to Schrödinger waves is (...) also discussed. (shrink)

In a previous article by two of the present authors Carmeli's group-theoretic method for the formulation of wave equations was applied to the case of the electromagnetic field, and the equations for the vector potential were derived. In the present paper a quantization procedure for these equations is carried out in the Lorentz gauge. It involves two independent variables, corresponding to the number of degrees of freedom of the electromagnetic field in a Hilbert space with a positive-definite metric. Conserved quantities (...) are derived. (shrink)

The incongruence between quantum theory and relativity theory is traced to the probability interpretation of the former. The classical continium interpretation of ψ removes the difficulty. How quantum properties of matter and light, and in particular the radiative problems, like spontaneous emission and Lamb shift, may be accounted in a first quantized Maxwell-Dirac system is discussed.

We compute the energy tensor and the energy-momentum tensor for electrodynamics coupled to the current of a charged scalar field and for electrodynamics coupled tothe current of a Dirac spinor field, without using the equations of motion.

We present, in various limits, analytical expressions for the center-of-mass wave function of a spin-1/2 atom as it is deflected by a Stern-Gerlach apparatus.

Purpose. The aim of this piece is to study the manifestations of humanistic pursuits in a literary fiction work. The main interest is related to the interpretation of those existential and sociocultural concepts that underlie the dystopian novel by Lois Lowry. The theoretical basis of the study is based on works on phenomenology and the theory of reader reception. The method of phenomenology is a descriptive method: the phenomena of consciousness cannot be reduced to limited cognitive forms, and therefore language (...) and means of description are important along with their ability to reveal consciousness through phenomena. Originality of the study lies in the investigation of the humanistic aspect of a dystopian society, depicted in the modern literary fiction. The main attention is focused on the phenomenological identification of existential ideas and their manifestation in the literary characters of the given work. The conclusions speak about the tendencies of humanization and dehumanization of a man and society in the context of philosophical, ethical and aesthetic issues, which are the most important and urgent problems of our time. The current study finds out that in the modern dystopian literature and philosophy, the main subject of attention is a human. This human is perceived and depicted as a phenomenon that cannot be grasped by the notions of intimation and essence. The human is a creature whose freedom presupposes a constant departure from nature and habitual reality to the realm of transcendent through the desire to comprehend his or her certain way of existence. (shrink)

Vagueness in law leads to indeterminacies in legal rights and obligations in many cases. The book defends that claim and explains its implications for legal theory. Vague language is the book's focus, but vagueness is not merely a linguistic feature of law. Law is necessarily vague. That fact seems to threaten the coherence of the ideal of the rule of law. The book defends a new, coherent articulation of that ideal.

Synthetic biology is an increasingly high‐profile area of research that can be understood as encompassing three broad approaches towards the synthesis of living systems: DNA‐based device construction, genome‐driven cell engineering and protocell creation. Each approach is characterized by different aims, methods and constructs, in addition to a range of positions on intellectual property and regulatory regimes. We identify subtle but important differences between the schools in relation to their treatments of genetic determinism, cellular context and complexity. These distinctions tie into (...) two broader issues that define synthetic biology: the relationships between biology and engineering, and between synthesis and analysis. These themes also illuminate synthetic biology's connections to genetic and other forms of biological engineering, as well as to systems biology. We suggest that all these knowledge‐making distinctions in synthetic biology raise fundamental questions about the nature of biological investigation and its relationship to the construction of biological components and systems. BioEssays 30:57–65, 2008. © 2007 Wiley Periodicals, Inc. (shrink)

Diese Arbeit zeigt, dass die Dualität des mathematischen und dynamischen Erhabenen bei Kant auch dem Zweck der dritten Kritik dient, die Kluft zwischen den Gebieten der Natur und der Freiheit zu schließen. In der Sekundärliteratur zu Kant wird das Erhabene oft als Anhang des Schönen oder aufgrund seiner mehrfachen Dualitäten als Bruch in Kants Ansatz angesehen. Dies geschieht, weil solche Interpretationen die Elemente der Theorie des Erhabenen atomisch und nicht systematisch rekonstruieren. Im Gegensatz dazu wird in dieser Arbeit mittels der (...) Resonanz der teleologischen Behandlung der Vernunft nicht nur die innere Systematik der dritten Kritik gezeigt, sondern auch die von der gesamten kritischen Philosophie. Die Vernunft als Vermögen der Zwecksetzung zu verstehen in ihrem praktischen und theoretischen Gebrauch, ist keine neue Idee oder neuer systematischer Rekonstruktionsversuch der kritischen Philosophie in der Kantforschung. Das eigentlich Neue in dieser Monografie ist, einen Beweis von ihrer teleologischen Einheit aus der ästhetischen Perspektive des paradoxen Gefühls des Erhabenen geleistet zu haben. (shrink)

This book is the thirty-third volume in the "Philosophy of Russia of the first half of the 20th century" series. It traces the life and intellectual trajectories of three European thinkers with Russian roots: A. Koyré, A. Kojève, and I. Berlin. It explores their methodological strategies, explains the cultural and existential premises of their thinking styles that enabled them to succeed and gain recognition as European philosophers, traces their intellectual links with Russia, and reflects on the importance of Russian intellectual (...) culture for these thinkers and for twentieth-century European philosophy as a whole. The book is addressed to a wide range of readers interested in philosophy, social and political thought, and the intellectual history of the Russian exiles of the first half of the 20th century. (shrink)