The placement of hydrogen in the periodic table has unique implications for fundamental questions of chemical behavior. Recent arguments in favor of placing hydrogen either separately at the top of the table or as a member of the carbon family are shown to have serious defects. A Coulombic model, in which all compounds of hydrogen are treated as hydrides, places hydrogen exclusively as the first member of the halogen family and forms the basis for reconsideration of fundamental concepts in bonding (...) and structures. The model provides excellent descriptive and predictive ability for structures and reactivities of a wide range of substances. (shrink)

We show that transverse phonons in a set of trapped ions under the action of lasers are described by an interacting boson model whose parameters can be externally adjusted. If the radial trapping frequency is large enough, the system is described by a Bose–Hubbard model, in which hopping of the phonons between different ions is provided by the Coulomb interaction. On the other hand, the non-linear terms in the interaction of the ions with a standing-wave provide us with the phonon–phonon (...) interaction. We investigate the possibility of observing several quantum many—body phenomena, including (quasi)Bose–Einstein Condensation as well as a superfluid-Mott insulator quantum phase transition. (shrink)

A cornerstone of physics, Maxwell‘s theory of electromagnetism, apparently contains a fatal flaw. The standard expressions for the electromagnetic field energy and the self-mass of an electron of finite extension do not obey Einstein‘s famous equation, \, but instead fulfill this relation with a factor 4/3 on the left-hand side. Furthermore, the energy and momentum of the electromagnetic field associated with the charge fail to transform as a four-vector. Many famous physicists have contributed to the debate of this so-called 4/3-problem (...) without arriving at a complete solution. It has generally been assumed that, as originally suggested by Poincaré, the problems are connected to the question of stability of the charge distribution, and that relativistic equivalence between energy and self-mass can only be restored by inclusion of stabilizing forces. Alternative solutions to the problems have also been proposed. Nearly a century ago Fermi suggested a covariant definition of the electromagnetic energy and momentum, and sixty years later Kalckar et al. argued that the 4/3 problem is caused by omission of a relativistic correction in the standard evaluation of the self-force from Coulomb self-interaction. However, the relation between these suggestions has not been clear. We show that the relativistic correction implies that the mechanical momentum of an accelerated rigid body must be defined as the sum of the momenta of its parts for fixed time in the momentary rest frame of the body. For the total momentum of particles and field to be conserved, the total energy–momentum tensor must be divergence free, and this then requires that the momentum of the associated electromagnetic field be defined in the same way, consistent with the suggestion by Fermi. This comprehensive solution of the 4/3-problem demonstrates that there is no conflict of Maxwell‘s theory with special relativity and the questions of equivalence of electromagnetic energy and self-mass and of stability of a classical charge distribution are independent. In appendices we discuss the relations of our treatment with Fermi‘s seminal paper and with a classic paper by Dirac where he evaluated the damping self-force on a point electron from transport of energy and momentum in the electromagnetic field. (shrink)

In France, as in other European countries, especially Britain and Germany, the nineteenth century was a period of great progress and achievement in science. This would still have been true if Claude Bernard and Louis Pasteur had been the only outstanding French scientists of the nineteenth century, whereas there were, of course, many others apart from an impressive number of brilliant French mathematicians. Nevertheless, although it was a great century for French science there was perhaps something rather disappointing about it, (...) and something rather ingrowing about the attitude of French scientists towards scientific developments in other countries. For example, the French took it hard that the creator of the theory of evolution should have been an Englishman, remembering too late Darwin's predecessor Lamarck, and they certainly were very slow in accepting Darwin's theory of evolution.1 Again, the French may have felt that after the important contributions of French scientists such as Coulomb, Poisson, Biot and, above all, Ampère, the theory of electricity and magnetism which is today principally associated with the names of Faraday and Maxwell should have been created by a Frenchman. Once again this new theory was only accepted very slowly and hesitantly, and even unwillingly, in France—one thinks, for example, of the criticisms levelled at the theory by Pierre Duhem in his “The Aim and Structure of Physical Theory”.2 Of course it might be that if one knew how to weigh properly the various achievements of French scientists in different branches of science one would find that, allowing for her rather static population during the nineteenth century, thetotalcontribution of France compared well with those of Britain and Germany. Nevertheless, in one case at least, that of theoretical physics, there seems to have been an unmistakable failure to live up to the promise of the beginning of the century. The purpose of this paper is to advance possible reasons to explain this failure. (shrink)

The two center time dependent Dirac equation, for an electron in the external field of two colliding ultrarelativistic heavy ions is considered. In the ultrarelativistic limit, the ions are practically moving at the speed of light and the electromagnetic fields of the ions are confined to the light fronts by the extreme Lorentz contraction and by the choice of gauge, designed to remove the long-range Coulomb effects. An exact solution to the ultrarelativistic limit of the two-center Dirac equation is found (...) by using light-front variables and a light-fronts representation. Previously unexplained experimental results obtained at CERN's SPS are explained in this way and predictions are made as to where one should look, in momentum space, and in space-time, if one wants to study and observe non-perturbative electromagnetic pair-production effects in extremely relativistic heavy-ion collisions. (shrink)

Freely falling point-like objects converge toward the center of the Earth. Hence the gravitational field of the Earth is inhomogeneous, and possesses a tidal component. The free fall of an extended quantum mechanical object such as a hydrogen atom prepared in a high principal-quantum-number state, i.e. a circular Rydberg atom, is predicted to fall more slowly than a classical point-like object, when both objects are dropped from the same height above the Earth’s surface. This indicates that, apart from transitions between (...) quantum states, the atom exhibits a kind of quantum mechanical incompressibility during free fall in inhomogeneous, tidal gravitational fields like those of the Earth.A superconducting ring-like system with a persistent current circulating around it behaves like the circular Rydberg atom during free fall. Like the electronic wavefunction of the freely falling atom, the Cooper-pair wavefunction is quantum mechanically incompressible. The ions in the lattice of the superconductor, however, are not incompressible, since they do not possess a globally coherent quantum phase. The resulting difference during free fall in the response of the nonlocalizable Cooper pairs of electrons and the localizable ions to inhomogeneous gravitational fields is predicted to lead to a charge separation effect, which in turn leads to a large Coulomb force that opposes the convergence caused by the tidal gravitational force on the superconducting system.A “Cavendish-like” experiment is proposed for observing the charge separation effect induced by inhomogeneous gravitational fields in a superconducting circuit. The charge separation effect is determined to be limited by a pair-breaking process that occurs when low frequency gravitational perturbations are present. (shrink)

The Hamiltonian for n relativistic electrons without interaction but in a Coulomb potential is well known. If in this Hamiltonian we take r ′ u =r′, P ′ u =P′ with u=1,2,..., n, we obtain a one-body problem in a Coulomb field, but the appearance of n of the α u , u=1,..., n, each of which corresponds to spin $\tfrac{1}{2}$ , indicates that we may have spins up to (n/2). We analyze this last problem first by denoting the 4×4 (...) matrices α, β as direct products of 2×2 matrices which correspond to the ordinary spin, and a new concept, also related to the SU(2) group, which we call sign spin. In this new notation our problem depends on the sixteen generators of a U(4) group reduced along the chain Û(2)⊗Ŭ(2) sub-groups associated with the ordinary and sign spins. We now make a change of variables in our Hamiltonian so a term ε related to the frequency ω of an oscillator, which will be our variational parameter, appears in it, and later construct the full states of the problem with a harmonic oscillator of frequency 1 and ordinary and sign spin parts. Finally we obtain the matrix representation of our Hamiltonian with respect to the states mentioned and discuss the energy spectra of the problem where the partition {h} representing the irrep of U(4) and j the total angular momentum, take the values {h}=[1], j= $\tfrac{1}{2}$ ; {h}=[11], j=0; {h}=[2], j=0. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Matter and Spirit in the Age of Animal MagnetismEric G. WilsonDuring the Romantic period, writers on both sides of the Atlantic explored the sleepwalker as a merger of holiness and horror. Emerging when scientific thinkers for the first time were connecting spirit to electricity and magnetism, the somnambulist became to certain Romantics a disclosure of the difficulty of harmonizing unseen and seen, agency and necessity. This problem prominently arose (...) in Anton Mesmer's late eighteenth-century experiments in animal magnetism, in which the sleepwalker proved a paradox: an opaque revelation of transparent currents and an unconscious vehicle of sophisticated thought. Romantics such as Coleridge embraced the somnambulist as an embodiment of these troubles involved in relating motion and meaning. Coleridge and those who responded to him saw in the hypnotized human this sobering possibility: the invisible requires the visible to make itself manifest while the visible needs the invisible to become significant. 1 This is sublime and sinister: to elevate a material form to spiritual power is transcendence; to sink the boundless into a body is grotesque.Here I explore the philosophical implications of animal magnetism, the place of the sleepwalker in the history of ideas, and the role of the hypnotized human in Romantic writers, especially Coleridge. I also meditate on relationships between matter and spirit, machine and human, word and thing. Along the way, I place the history of ideas and the works of Romantic writers in mutually illuminating dialogues. The literary texts shed fresh light on philosophical problems while the ideas reveal hidden literary elements.The somnambulistic trance had been around long before Mesmer's magnetic sleeps. For centuries, shamans had used auto-hypnosis to sound [End Page 329] their souls and other-hypnosis to cure their tribe-members' ailments. However, somnambulism could not become a scientific phenomenon until Europeans in laboratories began to study electricity and magnetism. In the early modern period, Paracelsus argued that a vital fluid courses through the cosmos. The human being draws this flow like a magnet attracts force. When the body pulls to itself evil effluvia, it falls ill. To return patients to health, Paracelsus placed magnets on painful areas. He hoped to extract the unwanted current and return it to the cosmic swirl. 2 In "magnetizing" spirit, Paracelsus opened a door for empirical inquiry into the invisible world. In 1600, William Gilbert claimed that magnets correspond to the earth: both are animated by universal attraction and repulsion. 3 By the end of the seventeenth-century, Newton proposed that things are impelled by a force that draws and repels. Newton's theory of gravity inspired natural philosophers of the next centuries to search for a principle of which the magnet and the spark are manifestations. 4During the second half of the eighteenth century and the early part of the nineteenth, natural philosophers explored electricity and magnetism with unprecedented precision. In 1752, Benjamin Franklin revealed the mystery of lightning and perhaps the spark of life. 5 Inspired by Franklin, F. C. Oetinger, J. L. Fricker, and Prokop Divisch developed a theology of electricity, based on the belief that God is the electrical current. 6 Later in the century, Luigi Galvani and Alessandro Volta debated over whether the galvanic flow might be the origin and principle of life itself. 7 A few years before Franklin harvested lightning, John Michell argued that the magnetic force is not constrained to lodestones but is possibly pervasive. Some years later, Franz Aepinus suggested that magnetism and electricity manifest a deep energy. Soon after, C. A. de Coulomb discovered the mathematical law by which electrical and magnetic forces operate (Whittaker, pp. 50–59).These findings led to the breakthroughs of the nineteenth century. 8 In 1807, Humphry Davy hypothesized that chemical elements interact through electromagnetic affinity or repulsion. 9 In 1820, H. C. Oersted demonstrated the correspondence between electricity and magnetism. The same year, A. M. Ampere formulated the laws by which electrical and magnetic currents interact (Whittaker, pp. 81–86). Michael Faraday in 1831 revealed electromagnetic induction and thus inaugurated a second Copernican revolution: he showed that matter is not solid and discrete but a field of electromagnetic energy. 10 The dreams of [End... (shrink)

Starting from a unitary, Lorentz invariant two-particle scattering amplitude, we show how to use an identification and replacement process to construct a unique, unitary particle–antiparticle amplitude. This process differs from conventional on-shell Mandelstam s, t, u crossing in that the input and constructed amplitudes can be off-diagonal and off-energy shell. Further, amplitudes are constructed using the invariant parameters which are appropriate to use as driving terms in the multi-particle, multichannel non-perturbative, cluster decomposable, relativistic scattering equations of the Faddeev-type integral equations (...) recently presented by Alfred, Kwizera, Lindesay and Noyes. It is therefore anticipated that when so employed, the resulting multi-channel solutions will also be unitary. The process preserves the usual particle–antiparticle symmetries. To illustrate this process, we construct a J=0 scattering length model chosen for simplicity. We also exhibit a class of physical models which contain a finite quantum mass parameter and are Lorentz invariant. These are constructed to reduce in the appropriate limits, and with the proper choice of value and sign of the interaction parameter, to the asymptotic solution of the non-relativistic Coulomb problem, including the forward scattering singularity, the essential singularity in the phase, and the Bohr bound-state spectrum. (shrink)

A null 4-vector ε°σμε, based on Dirac's relativistic electron equation, is shown explicitly for a plane wave and various Coulomb states. This 4-vector constitutes a mechanical “model” for the electron in those states, and expresses the important spinor quantities represented conventionally byn, f, g, m, j, κ,1, ands. The model for a plane wave agrees precisely with the relation between velocity and phase gradient customarily used in quantum theory, but the models for Coulomb states contradict that relation.

This paper argues that human psychological resilience is a central virtue in sport and in human life generally. Despite its importance, it is an overlooked virtue in philosophy of sport and classical and contemporary virtue theory. The phenomenon of human resilience has received a great deal of attention recently in other quarters, however. There is a large and instructive empirical psychological literature on resilience, but connections to virtue theory are rarely drawn and there is no agreement about what the concept (...) refers to. This paper attempts to clarify the concept of resilience and explain how it fits into and supports a traditional Aristotelian conception of virtue. It shows how resilience figures centrally in sport and can extend and enrich our understanding of virtue and success in sport and of sport's internal values. The investigations into the nature of resilience in sport can also help us to understand better sport's contributions to human culture and well-being. (shrink)

Many writers have paid tribute to its power: Shakespeare urged his audiences to use it to create a setting; Hobbes asserted that "imagination and memory are but one thing; " for Wordsworth it was "the mightiest leveler known to moral world; " and to Baudelaire it represented "the queen of truth. " Imagination as artistic, poetic, and cultural predicate remains one of the most influential ideas in the history of Western thought. It has been simultaneously feared as a dangerous, uncontrollable (...) force, and revered as the supreme visionary power. The questions of its origins, nature, function, and effects have absorbed writers, theologians, and philosophers alike. J. M. Cocking's Imagination shows how these questions have recurred, through the ages and in various cultures. Exploring this theme, from antiquity to the Renaissance, it opens with a discussion of the treatment of imagination in the writings of Aristotle and Plato. Tracing its development in the Middle Ages, Cocking pays particular attention to the parallel tradition in Islamic thought of the period. The book pursues the concept through the theories of Dante and the neo-Platonists, concluding with the High Renaissance. (shrink)

Artificial Neural Networks have reached “grandmaster” and even “super-human” performance across a variety of games, from those involving perfect information, such as Go, to those involving imperfect information, such as “Starcraft”. Such technological developments from artificial intelligence (AI) labs have ushered concomitant applications across the world of business, where an “AI” brand-tag is quickly becoming ubiquitous. A corollary of such widespread commercial deployment is that when AI gets things wrong—an autonomous vehicle crashes, a chatbot exhibits “racist” behavior, automated credit-scoring processes (...) “discriminate” on gender, etc.—there are often significant financial, legal, and brand consequences, and the incident becomes major news. As Judea Pearl sees it, the underlying reason for such mistakes is that “... all the impressive achievements of deep learning amount to just curve fitting.” The key, as Pearl suggests, is to replace “reasoning by association” with “causal reasoning” —the ability to infer causes from observed phenomena. It is a point that was echoed by Gary Marcus and Ernest Davis in a recent piece for theNew York Times: “we need to stop building computer systems that merely get better and better at detecting statistical patterns in data sets—often using an approach known as ‘Deep Learning’—and start building computer systems that from the moment of their assembly innately grasp three basic concepts: time, space, and causality.” In this paper, foregrounding what in 1949 Gilbert Ryle termed “a category mistake”, I will offer an alternative explanation for AI errors; it is not so much that AI machinery cannot “grasp” causality, but that AI machinery (qua computation) cannot understand anything at all. (shrink)

For half a century, J. I. Packer's classic has helped Christians everywhere discover the wonder, glory, and joy of knowing God. This fiftieth anniversary edition of a thought-provoking work seeks to renew and enrich our understanding of God, bringing together knowing about God and knowing God through a close relationship with Jesus Christ.

(2002). Philosophy of Science 72 (January), 198-208.

Not long ago, one of us has clarified and defended a bare particular theory of individuation. More recently, D. W. Mertz has raised a set of objections against this account and other accounts of bare particulars and proffered an alternative theory of individuation. He claims to have shown that 'the concept of bare particulars, and consequently substratum ontology that requires it, is untenable.' We disagree with this claim and believe there are adequate responses to the three arguments Mertz raises against (...) bare particulars. To substantiate this assertion, we clarify the nature of bare particulars as individuators, state Mertz's objections, and respond to them. We conclude that Mertz has failed to show that bare particular theory is untenable. (shrink)

In this provocative work, J. L. Schellenberg addresses those who, influenced by science, take a negative view of religion, thinking of it as outmoded if not decadent. He promotes the view that transcendently oriented religion is developmentally immature, showing the consilience of scientific thinking about deep time with his view. From this unique perspective, he responds to a number of influential cultural factors commonly thought to spell ill for religion, showing the changes – changes favorable to religion – that are (...) now called for in how we understand them and their proper impact. Finally, he provides a defense for a new and attractive religious humanism that benefits from, rather than being hindered by, religious immaturity. In Schellenberg's view, religion can and should become a human project as monumental as science. (shrink)

The essays in this volume explore current work in central areas of philosophy, work unified by attention to salient questions of human action and human agency. They ask what it is for humans to act knowledgeably, to use language, to be friends, to act heroically, to be mortally fortunate, and to produce as well as to appreciate art. The volume is dedicated to J. O. Urmson, in recognition of his inspirational contributions to these areas. All the essays but one have (...) been specially written for this volume. (shrink)

After measuring consumers' sentiments toward business ethical practices in mostly Christian countries, the Business Ethics Index was expanded to two Muslim countries — Turkey and Egypt. The overall BEI for both countries was on the negative range, with Egypt exhibiting the widest gap between personal ethical perceptions and vicarious ones. No difference between genders was observed.

This chapter contains section titled: Methodology Representation and Intentionality Consciousness Chicken and Egg Eternity and Sempiternity Theism and the Problem of Evil.