We bring out the fact that the essential new quality implied by the quantum theory is nonlocality; i.e., that a system cannot be analyzed into parts whose basic properties do not depend on the state of the whole system. This is done in terms of the causal interpretation of the quantum theory, proposed by one of us (D.B.) in 2952, involving the introduction of the “quantum potential.” We show that this approach implies a new universal type of description, in which (...) the standard or canonical form is always supersystem-system-subsystem; and this leads to the radically new notion of unbroken wholeness of the entire universe. Finally, we discuss some of the implications of extending these notions to the relativity domain, and in so doing, we indicate a novel concept of time, in terms of which relativity and quantum theory may eventually be brought together. (shrink)

In this paper, we discuss the general significance of order in physics, as a first step toward the development of new notions of order. We begin with a brief historical discussion of the notions of order underlying ancient Greek views, and then go on to show how these changed in key ways with the rise of classical physics. This leads to a broader view of the significance of order, which helps to indicate what is to be meant by a change (...) of our general notions of order in physics. We then go into relativity and quantum theory, showing how these developments actually did bring in further new notions of order, which are however inconsistent and otherwise inadequate in certain ways. Finally, using these inconsistencies and inadequacies as clues or indications for yet a further new concept of order, we make some proposals for novel directions of inquiry (to be discussed in some detail in later papers) which could lead to theories as different from relativity and quantum theory as these are from classical physics. (shrink)

We briefly review the history of de Broglie's notion of the “double solution” and of the ideas which developed from this. We then go on to an extension of these ideas to the many-body system, and bring out the nonlocality implied in such an extension. Finally, we summarize further developments that have stemmed from de Broglie's suggestions.

We discuss Einstein's ideas on the need for a theory that is both objective and local and also his suggestion for realizing such a theory through nonlinear field equations. We go on to analyze the nonlocality implied by the quantum theory, especially in terms of the experiment of Einstein, Podolsky, and Rosen. We then suggest an objective local field model along Einstein's lines, which might explain quantum nonlocality as a coordination of the properties of pulse-like solutions of the nonlinear equations (...) that would represent particles. Finally, we discuss the implications of our model for Bell's inequality. (shrink)

We approach the relationship between classical and quantum theories in a new way, which allows both to be expressed in the same mathematical language, in terms of a matrix algebra in a phase space. This makes clear not only the similarities of the two theories, but also certain essential differences, and lays a foundation for understanding their relationship. We use the Wigner-Moyal transformation as a change of representation in phase space, and we avoid the problem of “negative probabilities” by regarding (...) the solutions of our equations as constants of the motion, rather than as statistical weight factors. We show a close relationship of our work to that of Prigogine and his group. We bring in a new nonnegative probability function, and we propose extensions of the theory to cover thermodynamic processes involving entropy changes, as well as the usual reversible processes. (shrink)

We discuss the question of the relativistic invariance of a quantum theory based on beables, and we suggest the general outlines of one possible form of such a theory.

To complete our ontological interpretation of quantum theory we have to conclude a treatment of quantum statistical mechanics. The basic concepts in the ontological approach are the particle and the wave function. The density matrix cannot play a fundamental role here. Therefore quantum statistical mechanics will require a further statistical distribution over wave functions in addition to the distribution of particles that have a specified wave function. Ultimately the wave function of the universe will he required, but we show that (...) if the universe in not in thermodynamic equilibrium then it can he treated in terms of weakly interacting large scale constituents that are very nearly independent of each other. In this way we obtain the same results as those of the usual approach within the framework of the ontological interpretation. (shrink)

David Bohm, Emeritus Professor of Theoretical Physics at Birkbeck College of the University of London and Fellow of the Royal Society, died of a heart attack on October 29, 1992 at the age of 74. Professor Bohm had been one of the world’s leading authorities on quantum theory and its interpretation for more than four decades. His contributions have been critical to all aspects of the field. He also made seminal contributions to plasma physics. His name appears prominently (...) in the modern physics literature, through the Aharonov- Bohm effect , the Bohm-EPR experiment , the Bohm-Pines collective description of particle interactions (random phase approximation), Bohm diffusion and the Bohm causal interpretation of quantum mechanics, also sometimes called the de Broglie-Bohm pilot wave theory. David Bohm was born in Wilkes-Barre, Pennsylvania on December 20, 1917. A student of J. Robert Oppenheimer, Bohm received his Ph.D. from the University of California at Berkeley in 1943. In 1950 he completed the first of his six books, Quantum Theory, which became the definitive exposition of the orthodox (Copenhagen) interpretation of quantum mechanics. Here Bohm presented his reformulation of the paradox of Einstein, Podolsky, and Rosen. It is this Bohm version of EPR which has provided the basis for the enormous expansion of research on the foundations of quantum theory, focusing on nonlocality and the possible incompleteness of the quantum description (the question of “hidden variables”), which has occurred during the past several decades. (shrink)

À partir d’éléments théoriques situés au fondement de sa conception des atmosphères (espace pensé à partir de la présence charnelle vs conception géométrique de l’espace comme topos ou spatium ; notion de Befindlichkeit ou « disposition affective » ; réflexions sur la perception), le présent texte de Gernot Böhme offre une synthèse tout à fait remarquable de ses réflexions tissées entre architecture et atmosphères. Il s’agit dès lors, pour le philosophe allemand, de chercher tout autant à penser la spécificité esthétique (...) de l’architecture que de permettre de situer celle-ci de manière adéquate face aux enjeux du monde contemporain, ou encore d’inciter les architectes à réfléchir leur pratique dans et par le type de rapport à l’espace, au monde et aux hommes qui se manifeste dans la méditation de la notion d’« atmosphères ». (shrink)

1 Atmosfera L’espressione atmosfera non è affatto estranea al discorso estetico. Anzi, essa affiora spesso, e in modo quasi automatico, nei discorsi inaugurali dei vernissages, nei cataloghi d’arte e nelle laudationes. In questi casi si può parlare della potente atmosfera di un’opera, dell’effetto atmosferico o di una forma di rappresentazione dotata di una valenza maggiormente atmosferica. L’impressione è quella di dover indicare con atmosfera qualcosa di indefinito, di difficilmente esprimi...

1 Atmosfera L’espressione atmosfera non è affatto estranea al discorso estetico. Anzi, essa affiora spesso, e in modo quasi automatico, nei discorsi inaugurali dei vernissages, nei cataloghi d’arte e nelle laudationes. In questi casi si può parlare della potente atmosfera di un’opera, dell’effetto atmosferico o di una forma di rappresentazione dotata di una valenza maggiormente atmosferica. L’impressione è quella di dover indicare con atmosfera qualcosa di indefinito, di difficilmente esprimi...

In this largely nontechnical book, eminent physicists and philosophers address the philosophical impact of recent advances in quantum physics. These are shown to shed new light on profound questions about realism, determinism, causality or locality. The participants contribute in the spirit of an open and honest discussion, reminiscent of the time when science and philosophy were inseparable. After the editors' introduction, the next chapter reveals the strangeness of quantum mechanics and the subsequent discussions examine our notion of reality. The spotlight (...) is then turned to the topic of decoherence. Bohm's theory is critically examined in two chapters, and the relational interpretation of quantum mechanics is likewise described and discussed. The penultimate chapter presents a proposal for resolving the measurement problem, and finally the topic of loop quantum gravity is presented by one of its founding fathers, Carlo Rovelli. The original presentations and discussions on which this volume is based took place under the auspices of the French "Académie des Sciences Morales et Politiques". The book will appeal to everybody interested in knowing how our description of the world is impacted by the results of the most powerful and successful theory that physicists have ever built. (shrink)

An appropriate kind of curved Hilbert space is developed in such a manner that it admits operators of $\mathcal{C}$ - and $\mathfrak{D}$ -differentiation, which are the analogues of the familiar covariant and D-differentiation available in a manifold. These tools are then employed to shed light on the space-time structure of Quantum Mechanics, from the points of view of the Feynman ‘path integral’ and of canonical quantisation. (The latter contains, as a special case, quantisation in arbitrary curvilinear coordinates when space is (...) flat.) The influence of curvature is emphasised throughout, with an illustration provided by the Aharonov-Bohm effect. (shrink)

The interpretations of measurements in Bohm's and Everett's quantum theories are compared. Since both theories are based on the assumption of a universally valid Schrödinger equation, they face the common problem of how to explain that arrow of time, which in conventional quantum theory is represented by the collapse of the wave function. Its solution requires, in a statistical sense, a very improbable initial condition for thetotal wave function of the universe. The historical importance of Bohm's quantum theory (...) is pointed out. (shrink)

When classical mechanics is seen as the short-wavelength limit of quantum mechanics (i.e., as the limit of geometrical optics), it becomes clear just how serious and all-pervasive the measurement problem is. This formulation also leads us into the Bohm theory. But this theory has drawbacks: its nonuniqueness, in particular, and its nonlocality. I argue that these both reflect an underlying problem concerning information, which is actually a deeper version of the measurement problem itself.

The role of the environment in producing the correct classical limit in the Bohm interpretation of quantum mechanics is investigated, in the context of a model of quantum Brownian motion. One of the effects of the interaction is to produce a rapid approximate diagonalisation of the reduced density matrix in the position representation. This effect is, by itself, insufficient to produce generically quasi-classical behaviour of the Bohmian trajectory. However, it is shown that, if the system particle is initially in (...) an approximate energy eigenstate, then there is a tendency for the Bohmian trajectory to become approximately classical on a longer time-scale. The relationship between this phenomenon and the behaviour of the Wigner function post-decoherence is discussed. (shrink)

b /b b i Quantum Implications /i /b is dedicated to David Bohm, his work, and the issues raised by his ideas.

We present a simple first step toward a relativistically covariant generalization of the Bohm-Bub hidden-variable theory. The model is applicable to spin measurement on a single Dirac particle and describes the collapse of the state vector to a spin-up or spin-down state. The essential postulate is that the hidden-variable vector transforms in the same way as the state vector under a Lorentz transformation. This yields a covariant collapse equation, which reduces to the ordinary Bohm-Bub equation for an observer (...) stationary with respect to the particle and shows a time dilated collapse for a moving observer. The model yields the correct quantum transition probabilities for all observers. (shrink)

The main experiments concerning the Aharonov–Bohm phase shifts, seen in an electron interference pattern, and their Boyer semiclassical explanations are reviewed. A new experiment is also presented which emphasizes the subtleties involved in the interpretations of the magnetic Aharonov–Bohm phase shift as a result of a non-dispersive or dispersive effect.

The paper points out that the modern formulation of Bohm’s quantum theory known as Bohmian mechanics is committed only to particles’ positions and a law of motion. We explain how this view can avoid the open questions that the traditional view faces according to which Bohm’s theory is committed to a wave-function that is a physical entity over and above the particles, although it is defined on configuration space instead of three-dimensional space. We then enquire into the status (...) of the law of motion, elaborating on how the main philosophical options to ground a law of motion, namely Humeanism and dispositionalism, can be applied to Bohmian mechanics. In conclusion, we sketch out how these options apply to primitive ontology approaches to quantum mechanics in general. (shrink)

A thought experiment is reviewed which shows two things. First, in a region of a rotating frame that is not simply connected, the inertial forces can be canceled without completely canceling the inertial vector potential (whose curl determines the Coriolis force); second, the presence of this uncanceled potential can be detected in a quantum interference experiment. It is then argued that the thought experiment was realized in an earlier experiment involving a rotating superconductor, and that the experimental results confirm the (...) theoretical prediction. In this way, the first experimental verification of a physical effect due to a nonelectromagnetic potential in a force-free region is established. An analogous experiment for the gravitational vector potential is also discussed. Finally, it is pointed out that the close connection between electromagnetic and inertial vector potentials provides an intuitive way to make predictions about rotating superconductors. (shrink)

We consider QED processes in the presence of an infinitely thin and infinitely long straight string with a magnetic flux inside it. The bremsstrahlung from an electron passing by the magnetic string and the electron-positron pair production by a single photon are reviewed. Based on the exact electron and positron solutions of the Dirac equation in the external Aharonov-Bohm potential we present matrix elements for these processes. The dependence of the resulting cross sections on energies, directions, and polarizations of (...) the involved particles is discussed for low energies. (shrink)

It is generally agreed that decoherence theory is, if not a complete answer, at least a great step forward towards a solution of the quantum measurement problem. It is shown here however that in the cases in which a sentient being is explicitly assumed to take cognizance of the outcome the reasons we have for judging this way are not totally consistent, so that the question has to be considered anew. It is pointed out that the way the Broglie–Bohm (...) model solves the riddle suggests a possible clue, consisting in assuming that even very simple systems may have some sort of a proto-consciousness, but that their “internal states of consciousness” are not predictive. It is, next, easily shown that if we imagine the systems get larger, in virtue of decoherence their internal states of consciousness progressively gain in predictive value. So that, for macro-systems, they may be identified (in practice) with the predictive states of consciousness on which we ground our observational predictions. The possibilities of carrying over this idea to standard quantum mechanics are then investigated. Conditions of conceptual consistency are considered and found rather strict, and, finally, two solutions emerge, differing conceptually very much from one another but in both of which the, possibly non-predictive, generalized internal states of consciousness play a crucial role. (shrink)

In the Aharonov- Bohm effect, electromagnetic potentials alter the two-slit interference pattern formed by an electron beam. We discuss here a curious feature of this effect, namely that, even though the interference pattern changes, none of its moments are shifted.

The Bohm-Bub hidden-variable theory is able to predict the results of measuring a quantum system only in the special case where the set of commuting observables being measured is complete. To handle the much more common case where the set is incomplete, Tutsch has proposed a generalization of the Bohm-Bub model. Unfortunately, as we show here, Tutsch's original method does not yield the correct quantum mechanical transition probabilities. On the other hand, Belinfante's modification of Tutsch's method does yield (...) the correct probabilities, and it gives a satisfactory hidden-variable theory of partial measurement for the case where one or more commuting variable(s) are measured at a single space-time point. In the case where the variables are measured at different space-time points, the theory is inadequate, due to the fact that it is not relativistically covariant, and does not take relaxation of the hidden variables into account. (shrink)

We present a general derivation of the Duffin-Kemmer-Petiau (D.K.P) equation on the relativistic phase space proposed by Bohm and Hiley. We consider geometric algebras and the idea of algebraic spinors due to Riesz and Cartan. The generators βμ (p) of the D.K.P algebras are constructed in the standard fashion used to construct Clifford algebras out of bilinear forms. Free D.K.P particles and D.K.P particles in a prescribed external electromagnetic field are analized and general Liouville type equations for these cases (...) are obtained. Choosing particular values for the label p we classify the different types of the D.K.P Liouville operators. (shrink)

Les pères de l’école connue sous le nom d’ « École autrichienne d’économie », Carl Menger (1840-1921) et son premier disciple Eugen von Böhm-Bawerk (1851-1914), ont analysé les pratiques d’affaires et la nature des activités de l’entrepreneur au-delà de ce qui se faisait en leur temps au sein de l’école historique allemande. Ont-ils pour autant déjà donné une « théorie de l’entrepreneur » en tant que telle, et le pouvaient-ils? Toujours est-il qu’émergent dans leurs œuvres les éléments d’analyse d’un intérêt (...) neuf pour des aspects de l’entreprise et la nature du système de production capitaliste dont l’impact allait se faire sentir de la société de leurs contemporains et chez leurs héritiers (comme Israel Kirzner) jusqu’à nos jours. (shrink)

Quite rightly, philosophers of physics examine the theories of physics, theories like Quantum Mechanics, Quantum Field Theory, the Special and General Theories of Relativity, and Statistical Mechanics. Far fewer, however, examine how these theories are put to use; that is to say, little attention is paid to the practices of theoretical physicists. In the early 1950s David Bohm and David Pines published a sequence of four papers, collectively entitled, ‘A Collective Description of Electron Interaction.’ This essay uses that quartet (...) as a case study in theoretical practice. In Part One of the essay, each of the Bohm-Pines papers is summarized, and within each summary an overview is given, framing a more detailed account. In Part Two theoretical practice is broken into six elements: (a) the use of models, (b) the use of theory, (c) modes of description and narrative, (d) the use of approximations, (e) experiment and theory, (f) the varied steps employed in a deduction. The last element is the largest, drawing as it does from the earlier ones. Part Three enlarges on the concept of ‘theoretical practice,’ and briefly outlines the subsequent theoretical advances which rendered the practices of Bohm and Pines obsolete, if still respected. (shrink)

The purpose of this contribution is to examine the current state of the de Broglie-Bohm theory (dBB) in light of Bohm’s vision as he explicitly set it out in his book Quantum theory [In Bohm, D., Quantum theory, Courier corporation, (1961b)]. In particular, two programmes that differ in many crucial respects are currently being pursued. On the one hand, the Bohmian mechanics school, founded by Dürr Goldstein and Zanghì, considers the theory to be Galilean invariant, regards particles’ (...) motion as determined by a nomological entity, the universal wave function, upholds the quantum equilibrium hypothesis and explains probabilities in terms of typicality. On the other hand, the Pilot-wave school advocated by Valentini considers the theory to be based on Aristotelian dynamics, regards the wave function as a physical field displaying a contingent nature, and explains quantum equilibrium as the result of a process of relaxation from quantum non-equilibrium. Looking at Bohm’s work [In Bohm, D., Quantum theory, Courier corporation, (1961b)], it is clear that his intention was to construct a theory that was empirically different from standard quantum mechanics, so that it would be testable and falsifiable. Only this way could he defend dBB from the criticism that accused the theory of being 'metaphysical'. These methodological concerns about the falsifiability of the theory constitute, in my opinion, a strong reason for regarding Valentini's programme as methodologically valuable, even if it might turn out to be wrong. Indeed, the programme of the Pilot-wave school aims to be falsifiable with respect to standard quantum mechanics and can in principle defend the empirical status of particle trajectories. (shrink)

The physical origin of inertial forces is shown to be a consequence of the local interaction of Dirac's real covariant ether model(1) with accelerated microobjects, considered as real extended particlelike solitons, piloted by surrounding subluminal real wave fields packets.(2) Their explicit form results from the application of local inertial Lorentz transformations to the particles submitted to noninertial velocitydependent accelerations, i.e., constitute a natural extension of Lorentz's interpretation of restricted relativity.(3) Indeed Dirac's real physical covariant ether model implies inertial forces if (...) one considers the real accelerated noninertial motions of general relativity, defined within the absolute local inertial frames associated with the observed local isotropy of the 2.7° K background microwave radiation.(4) Inertia thus appears as a necessary consequence of the real particle motions described by the E.d.B.B. formalism of quantum mechanics. (shrink)

Le cahier de notes de Schelling sur ses lectures de l'année 1809 peut être confronté avec l'agenda de Schelling de la même année. Il s'avère que des nombreuses lectures sur le problème du mal précèdent et suivent immédiatement la publication des Recherches sur la liberté humaine. La lecture de Jacob Böhme y est attestée; mais il s'agit d'une présentation populaire de la doctrine de Böhme. En fait, l'ouvrage annoté par Schelling est un gros opuscule intitulé Hirtenbrief an die wahren und (...) ächten Freymäurer alten Systems, anonyme paru en 1785, dont le contenu est une « mise en système » de la doctrine de Böhme, c'est-à-dire une rationalisation stricte de cette philosophie. Schelling, lisant cet opuscule en a supprimé tout élément proprement théosophique pour ne garder que le côté spéculatif, sans référence précise à la révélation chrétienne. Il n'y a encore aucune christologie chez Schelling, alors même qu'est présent le schème de la connexion de la liberté et du mal. Le mal est un moment nécessaire de la création car, sans lui, Dieu ne pourrait se manifester. Le mal est colère de Dieu, souffrance et maladie; il n'est pas voulu par l'homme, mais il est le révélateur de la triste mélancolie de l'existence créée. The Notebook of Schelling concerning his readings in the year 1809 is to be compared with the diary of Schelling in the same year. A number of readings about the problem of evil precedes and succeeds the publication of Untersuchungen über das Wesen der menschlichen Freiheit (1809). The reading of Jacob Böhme is attested in this Notebook; but it is a popular presentation of the boehmist doctrine. It is a fact that Schelling annotated a big opuscule called Hirtenbrief an die wahren und ächten Freymäurer alten Systems, anonymously published in 1785; the contents of this book is a systematisation of the boehmist doctrine, a strict rationalisation of this philosophy. Schelling, studying this opuscule, has suppressed any elements specifically theosophic, and has retained only the speculative elements without any references to the Christian Revelation. There is not yet any christology in Schellingian thinking, even if the scheme of the connexion of liberty and evil is present. Evil is a necessary moment in the Creation, because without it God cannot reveal himself. The evil is the anger of God, suffering and illness; it does not proceed from the man, but it reveals the unhappy melancoly of the created existence. (shrink)

The author beginns with a brief commentary on three philosophically remarcable concepts: F. A. Hayek's concept of endogenous and exogenous orders, D. Bohm's concept of implicative and explicative orders and K. R. Popper's concept of the three worlds. On Hayek he appreciates particularly his emphasizing the endogenous order, on Bohm on the other hand his distinguishing between the explicative and implcative orders. He, however criticises Bohm´s conception for its not offe_ring a possibility of definig the ontic opposition (...) of culture against nature. Popper´s conception of the three worlds he criticises for its mostly gnoseological nature: according to Popper it is the world II, which makes the effect of the world III on the world I possible. Partially following D. Bohm the author sees two orders - an explicative and an implicative ones - in nature as well as in culure. The order embodies not only the intrinsic constitutive processes and the rules of the natural and cutural construology, i. e. the explicative order, but also the external outcome of the ontic creative process with its phenotypic forms, i. e. the explicative order. Additionally to this dualism of orders he argues, that there are two different kinds of evolution - the natural and the cultural ones. His suggestion to recognize two world orders aims at a more proper pihlosophical understanding of the ontic opposition of culture against nature including the determination of the presuppositions of their long-term possible coevolution and compatibility. (shrink)

So many things have a meaning for us. How is it possible and how can we deal with it? In "gestures of attention" (rituals) we understand it, Hartmut Böhme says, and we produce it ourselves, Aby M. Warburg and Ernst Cassirer are suggesting. That means the producer and the recipient are responsible for their doing. -/- So vieles in unserem Leben hat für uns eine Bedeutung. Wie kommt das und wie können wir damit umgehen? In "Gesten der Zuwendung" (Rituale), so (...) Hartmut Böhme, erfassen wir diese und es sind wir selbst, die diese herstellen, wie es vertiefend Aby M. Warburg und Ernst Cassirer eröffnen. D.h. nicht nur der Produzent, sondern auch der Rezipient sind für ihr jeweiliges "Tun" verantwortlich. (shrink)