The most puzzling issue in the foundations of quantum mechanics is perhaps that of the status of the wave function of a system in a quantum universe. Is the wave function objective or subjective? Does it represent the physical state of the system or merely our information about the system? And if the former, does it provide a complete description of the system or only a partial description? We shall address these questions here mainly from a Bohmian perspective, and shall (...) argue that part of the difficulty in ascertaining the status of the wave function in quantum mechanics arises from the fact that there are two different sorts of wave functions involved. The most fundamental wave function is that of the universe. From it, together with the configuration of the universe, one can define the wave function of a subsystem. We argue that the fundamental wave function, the wave function of the universe, has a law-like character. (shrink)

This is a significantly expanded edition of one of the greatest works of modern political theory. Sheldon Wolin's Politics and Vision inspired and instructed two generations of political theorists after its appearance in 1960. This new edition retains intact the original ten chapters about political thinkers from Plato to Mill, and adds seven chapters about theorists from Marx and Nietzsche to Rawls and the postmodernists. The new chapters, which show how thinkers have grappled with the immense possibilities and dangers (...) of modern power, are themselves a major theoretical statement. They culminate in Wolin's remarkable argument that the United States has invented a new political form, "inverted totalitarianism," in which economic rather than political power is dangerously dominant. In this new edition, the book that helped to define political theory in the late twentieth century should energize, enlighten, and provoke generations of scholars to come. Wolin originally wrote Politics and Vision to challenge the idea that political analysis should consist simply of the neutral observation of objective reality. He argues that political thinkers must also rely on creative vision. Wolin shows that great theorists have been driven to shape politics to some vision of the Good that lies outside the existing political order. As he tells it, the history of theory is thus, in part, the story of changing assumptions about the Good. In the new chapters, Wolin displays all the energy and flair, the command of detail and of grand historical developments, that he brought to this story forty years ago. This is a work of immense talent and intense thought, an intellectual achievement that will endure. (shrink)

The renewed interest in the foundations of quantum statistical mechanics in recent years has led us to study John von Neumann’s 1929 article on the quantum ergodic theorem. We have found this almost forgotten article, which until now has been available only in German, to be a treasure chest, and to be much misunderstood. In it, von Neumann studied the long-time behavior of macroscopic quantum systems. While one of the two theorems announced in his title, the one he calls the (...) “quantum H-theorem,” is actually a much weaker statement than Boltzmann’s classical H-theorem, the other theorem, which he calls the “quantum ergodic theorem,” is a beautiful and very non-trivial result. It expresses a fact we call “normal typicality” and can be summarized as follows: For a “typical” finite family of commuting macroscopic observables, every initial wave function ψ0 from a micro-canonical energy shell so evolves that for most times t in the long run, the joint probability distribution of these observables obtained from ψ is close to.. (shrink)

Ninety-five freshmen each recruited three peers to play a "group bidding game," an N-person prisoner’s dilemma in which anyone could win movie tickets depending on their scores in the game. Prior to playing, all participants completed a measure of prosocial value orientation. Replicating and extending earlier findings (Sheldon and McGregor 2000), our results show that prosocial participants were at a disadvantage within groups. Despite this vulnerability, prosocial participants did no worse overall than asocial participants because a counteracting group-level advantage (...) arose for prosocials, who tended to be concentrated in groups. Implications of this assortative process for the egoism/altruism debate, and for hierarchical selection theory, are discussed. (shrink)

I will contrast the two main approaches to the foundations of statistical mechanics: the individualist approach and the ensemblist approach. I will indicate the virtues of each, and argue that the conflict between them is perhaps not as great as often imagined.

Despite its extraordinary predictive successes, quantum mechanics has, since its inception some seventy years ago, been plagued by conceptual di culties. The basic problem, plainly put, is this: It is not at all clear what quantum mechanics is about. What, in fact, does quantum mechanics describe?

In this paper, I explore whether elementary classical mechanics adheres to the Principle of Composition of Causes as Mill claimed and as certain contemporary authors still seem to believe. Among other things, I provide a proof that if one reads Mill’s description of the principle literally, it does not hold in any general sense. In addition, I explore a separate notion of Composition of Causes and note that it too does not hold in elementary classical mechanics. Among the major morals (...) is that there is no utility to describing classical mechanics in terms of Composition of Causes. This is both because the stated principles do not hold and because when one describes what actually does hold in classical mechanics in terms of the Composition of Causes, one introduces misleading associations that can generate errors just as claimed by Russell. (shrink)

We consider the possibility that all particles in the world are fundamentally identical, i.e., belong to the same species. Different masses, charges, spins, flavors, or colors then merely correspond to different quantum states of the same particle, just as spin-up and spin-down do. The implications of this viewpoint can be best appreciated within Bohmian mechanics, a precise formulation of quantum mechanics with particle trajectories. The implementation of this viewpoint in such a theory leads to trajectories different from those of the (...) usual formulation, and thus to a version of Bohmian mechanics that is inequivalent to, though arguably empirically indistinguishable from, the usual one. The mathematical core of this viewpoint is however rather independent of the detailed dynamical scheme Bohmian mechanics provides, and it amounts to the assertion that the configuration space for N particles, even N “distinguishable particles,” is the set of all N -point subsets of physical 3-space. (shrink)

My new homepage is at jostylr.com . The corresponding e-mail address is [email protected] . On my new homepage there will be information about Bohmian mechanics, my papers, professional information, and personal information. As of 7/30/04, there is not much there, but it should improve.

Bohmian mechanics is arguably the most naively obvious embedding imaginable of Schr¨ odinger’s equation into a completely coherent physical theory. It describes a world in which particles move in a highly non-Newtonian sort of way, one which may at first appear to have little to do with the spectrum of predictions of quantum mechanics. It turns out, however, that as a consequence of the defining dynamical equations of Bohmian mechanics, when a system has wave function ψ its configuration is typically (...) random, with probability density ρ given by |ψ|2, the quantum equilibrium distribution. It also turns out that the entire quantum formalism, operators as observables and all the rest, naturally emerges in Bohmian mechanics from the analysis of “measurements.” This analysis reveals the status of operators as observables in the description of quantum phenomena, and facilitates a clear view of the range of applicability of the usual quantum mechanical formulas. (shrink)

Bohmian mechanics, which is also called the de Broglie-Bohm theory, the pilot-wave model, and the causal interpretation of quantum mechanics, is a version of quantum theory discovered by Louis de Broglie in 1927 and rediscovered by David Bohm in 1952. It is the simplest example of what is often called a hidden variables interpretation of quantum mechanics. In Bohmian mechanics a system of particles is described in part by its wave function, evolving, as usual, according to Schrödinger's equation. However, the (...) wave function provides only a partial description of the system. This description is completed by the specification of the actual positions of the particles. The latter evolve according to the.. (shrink)

This study examines the extent to which scientific and biomedical journals have adopted conflict of interest (COI) policies for authors, and whether the adoption and content of such policies leads to the publishing of authors’ financial interest disclosure statements by such journals. In particular, it reports the results of a survey of journal editors about their practices regarding COI disclosures. About 16 percent of 1396 highly ranked scientific and biomedical journals had COI policies in effect during 1997. Less than 1 (...) percent of the articles published during that year in the journals with COI policies contained any disclosures of author personal financial interests while nearly 66 percent of the journals had zero disclosures of author personal financial interests. Nearly three fourths of journal editors surveyed usually publish author disclosure statements suggesting that low rates of personal financial disclosures are either a result of low rates of author financial interest in the subject matter of their publications or poor compliance by authors to the journals’ COI policies. (shrink)

This book examines Aristotle's metaphysics and his account of nature, stressing the ways in which his desire to explain observed natural processes shaped his philosophical thought. It departs radically from a tradition of interpretation, in which Aristotle is understood to have approached problems with a set of abstract principles in hand, principles derived from critical reflection on the views of his predecessors. A central example of the book interprets Aristotle's essentialism as deriving from an examination of the kinds of unity (...) that various sorts of things have: elemental motion, alteration, transformation and the growth of organisms. An important conclusion of this argument is that an essence may, under certain circumstances, lack some of its essential attributes. This is a major re-evaluation of Aristotle's metaphysics that will interest philosophers, classicists and historians of science. (shrink)

There is no grander topic for us today, and Wolin's treatment is penetrating, thorough, and authoritative. This is a major work of political theory.

How to compute the probability distribution of a detection time, i.e., of the time which a detector registers as the arrival time of a quantum particle, is a long-debated problem. In this regard, Bohmian mechanics provides in a straightforward way the distribution of the time at which the particle actually does arrive at a given surface in 3-space in the absence of detectors. However, as we discuss here, since the presence of detectors can change the evolution of the wave function (...) and thus the particle trajectories, it cannot be taken for granted that the arrival time of the Bohmian trajectories in the absence of detectors agrees with the one in the presence of detectors, and even less with the detection time. In particular, we explain why certain distributions that Das and Dürr (Sci. Rep. 9: 2242, 2019) presented as the distribution of the detection time in a case with spin, based on assuming that all three times mentioned coincide, are actually not what Bohmian mechanics predicts. (shrink)

We derive for Bohmian mechanics topological factors for quantum systems with a multiply-connected configuration space Q. These include nonabelian factors corresponding to what we call holonomy-twisted representations of the fundamental group of Q. We employ wave functions on the universal covering space of Q. As a byproduct of our analysis, we obtain an explanation, within the framework of Bohmian mechanics, of the fact that the wave function of a system of identical particles is either symmetric or anti-symmetric.

From the early years of the Common Era to 1700, Indian intellectuals explored with unparalleled subtlety the place of emotion in art. Their investigations led to the deconstruction of art's formal structures and broader inquiries into the pleasure of tragic tales. _Rasa_, or taste, was the word they chose to describe art's aesthetics, and their passionate effort to pin down these phenomena became its own remarkable act of creation. This book is the first in any language to follow the evolution (...) of rasa from its origins in dramaturgical thought--a concept for the stage--to its flourishing in literary thought--a concept for the page. _Reader on Rasa_ incorporates primary texts by every significant thinker of classical Indian aesthetics, many never translated before. The arrangement of the selections captures the intellectual dynamism that has powered this debate for centuries. Headnotes explain the meaning and significance of each text, a comprehensive introduction summarizes major threads in intellectual-historical terms, and critical endnotes and an extensive bibliography add further depth to the selections. The Sanskrit theory of emotion in art is one of the most sophisticated in the ancient world, a precursor of the work being done today by critics and philosophers of aesthetics. This volume's conceptual detail, historical precision, and clarity will appeal to any scholar interested in a full portrait of global intellectual development. __Reader on Rasa___ is the inaugural book in the Historical Sourcebooks in Classical Indian Thought series, edited by Sheldon Pollock. These text-based books guide readers through the most important forms of classical Indian thought, from epistemology, rhetoric, and hermeneutics to astral science, yoga, and medicine. Each volume provides fresh translations of key works, headnotes to contextualize selections, a comprehensive analysis of major lines of development within the discipline, and exegetical and text-critical endnotes, as well as a bibliography. Designed for comparativists and interested general readers, Historical Sourcebooks is also a great resource for advanced scholars seeking authoritative commentary on challenging works._. (shrink)

We consider an isolated, macroscopic quantum system. Let H be a microcanonical “energy shell,” i.e., a subspace of the system’s Hilbert space spanned by the (finitely) many energy eigenstates with energies between E and E + δE. The thermal equilibrium macro-state at energy E corresponds to a subspace Heq of H such that dim Heq/ dim H is close to 1. We say that a system with state vector ψ H is in thermal equilibrium if ψ is “close” to Heq. (...) We show that for “typical” Hamiltonians with given eigenvalues, all initial state vectors ψ0 evolve in such a way that ψt is in thermal equilibrium for most times t. This result is closely related to von Neumann’s quantum ergodic theorem of 1929. (shrink)

The frame problem was originally a problem for Artificial Intelligence, but philosophers have interpreted it as an epistemological problem for human cognition. As a result of this reinterpretation, however, specifying the frame problem has become a difficult task. To get a better idea of what the frame problem is, how it gives rise to more general problems of relevance, and how deep these problems run, I expound six guises of the frame problem. I then assess some proposed heuristic solutions to (...) the frame problem; I show that these proposals misunderstand, and fail to address, an important aspect of the frame problem. Finally, I argue that though human cognition does not solve the frame problem in its epistemological guise, human cognition avoids some of the epistemological worries. (shrink)

Bohmian mechanics and the Ghirardi-Rimini-Weber theory provide opposite resolutions of the quantum measurement problem: the former postulates additional variables (the particle positions) besides the wave function, whereas the latter implements spontaneous collapses of the wave function by a nonlinear and stochastic modification of Schrödinger's equation. Still, both theories, when understood appropriately, share the following structure: They are ultimately not about wave functions but about 'matter' moving in space, represented by either particle trajectories, fields on space-time, or a discrete set of (...) space-time points. The role of the wave function then is to govern the motion of the matter. (shrink)

In the last quarter of the nineteenth century, Ludwig Boltzmann explained how irreversible macroscopic laws, in particular the second law of thermodynamics, originate in the time-reversible laws of microscopic physics. Boltzmann’s analysis, the essence of which I shall review here, is basically correct. The most famous criticisms of Boltzmann’s later work on the subject have little merit. Most twentieth century innovations – such as the identification of the state of a physical system with a probability distribution on its phase space, (...) of its thermodynamic entropy with the Gibbs entropy of , and the invocation of the notions of ergodicity and mixing for the justification of the foundations of statistical mechanics – are thoroughly misguided. (shrink)

Three uses of critical thought experiments outlined in the paper are related to general questions of evaluation. A proposal offered by Karl Popper concerning the so-called "apologetic" use of Gedankenexperimente is critically assessed. Specifically, his methodological principle that one should not use a second theory in order to defend a first theory against a critical thought experiment is discussed with reference to the photon-box Gedankenexperiment and the Maxwell-demon paradox. It is argued that the rescuing of one theory from conceptual anomaly (...) by appealing to another need not constitute a misuse of a critical thought experiment. (shrink)

Schrödinger’s first proposal for the interpretation of quantum mechanics was based on a postulate relating the wave function on configuration space to charge density in physical space. Schrödinger apparently later thought that his proposal was empirically wrong. We argue here that this is not the case, at least for a very similar proposal with charge density replaced by mass density. We argue that when analyzed carefully, this theory is seen to be an empirically adequate many-worlds theory and not an empirically (...) inadequate theory describing a single world. Moreover, this formulation—Schrödinger’s first quantum theory—can be regarded as a formulation of the many-worlds view of quantum mechanics that is ontologically clearer than Everett’s. (shrink)

Amos departs from Austin, who Amos considered "the true founder of the science of law", in important fundamentals. In this text, Amos sets out to draw a "clear line of demarcation between ethical & legal conceptions".

Previous works were described as too technical for the average person. In this text, Amos does an exceptional job of explaining the subject in terms that are easily understood by everyone with an interest in this area.

Describes 100 real-life ethical dilemmas faced by school administrators.