We examine arguments for distinguishing between ontological and epistemological concepts of fundamentality, focusing in particular on the role that scale plays in these concepts. Using the fractional quantum Hall effect as a case study, we show that we can draw a distinction between ontologically fundamental and non-fundamental theories without insisting that it is only the fundamental theories that get the ontology right: there are cases where non-fundamental theories involve distinct ontologies that better characterize real systems than (...) fundamental ones do. In order to reconcile these distinct ontologies between fundamental and non-fundamental theories, we suggest that ontology must be understood as scale-dependent. (shrink)

This paper looks at the nature of idealizations and representational structures appealed to in the context of the fractional quantum Hall effect, specifically, with respect to the emergence of anyons and fractional statistics. Drawing on an analogy with the Aharonov–Bohm effect, it is suggested that the standard approach to the effects— the topological approach to fractional statistics—relies essentially on problematic idealizations that need to be revised in order for the theory to be explanatory. (...) An alternative geometric approach is outlined and endorsed. Roles for idealizations in science, as well as consequences for the debate revolving around so-called essential idealizations, are discussed. (shrink)

In this paper, we put forward a new account of emergence called “transformational emergence”. Such an account captures a variety of emergence that can be considered as being diachronic and weakly ontological. The fact that transformational emergence actually constitutes a genuine form of emergence is motivated. Besides, the account is free of traditional problems surrounding more usual, synchronic versions of emergence, and it can find a strong empirical support in a specific physical phenomenon, the fractional quantum Hall (...) effect, which has long been touted as a paradigmatic case of emergence. (shrink)

En este artículo, se atienden ciertas facetas conceptuales y experimentales del efecto Hall cuántico. Se argumenta que el mismo ofrece variados matices para la reflexión filosófica, desde la generación de entidades teóricas hasta la epistemología de la experimentación. La exposición pretende mantener cierta sensibilidad por la dinámica histórica en torno del tema, como así también por las implicaciones metrológicas de ámbitos cuánticos específicos. Dada la enorme producción científica sobre el tema, se hace un recorte a los fines de rescatar (...) algunos perfiles significativos de los fenómenos asociados con ese efecto. In this paper we address several conceptual and historical aspects of the quantum Hall effect. We argue that this effect offers a variety of perspectives for philosophical reflection, from the generation of theoretical entities to the epistemology of experimentation. The exposition attempts to maintain a certain sensitivity to the historical dynamics around the issue, considering at the same time its metrological implications for specific quantum areas. Given the vast scientific literature on the subject, a cut is made in order to rescue some meaningful profiles of the phenomena associated with this effect. (shrink)

Various claims regarding intertheoretic reduction, weak and strong notions of emergence, and explanatory fictions have been made in the context of first-order thermodynamic phase transitions. By appealing to John Norton’s recent distinction between approximation and idealization, I argue that the case study of anyons and fractional statistics, which has received little attention in the philosophy of science literature, is more hospitable to such claims. In doing so, I also identify three novel roles that explanatory fictions fulfill in science. Furthermore, (...) I scrutinize the claim that anyons, as they are ostensibly manifested in the fractional quantum Hall effect, are emergent entities and urge caution. Consequently, it is suggested that a particular notion of strong emergence signals the need for the development of novel physical–mathematical research programs. (shrink)

I provide a formally precise account of diachronic emergence of properties as described within scientific theories, extending a recent account of synchronic emergence using similarity structure on the theories’ models. This similarity structure approach to emergent properties unifies the synchronic and diachronic types by revealing that they only differ in how they delineate the domains of application of theories. This allows it to apply also to cases where the synchronic/diachronic distinction is unclear, such as spacetime emergence from theories of (...) class='Hi'>quantum gravity. In addition, I discuss two further case studies—finite periodicity in van der Pol oscillators and two-dimensional quasiparticles in the fractional quantum Hall effect—to facilitate comparison of this approach to others in the literature on concepts of emergence applicable to the sciences. My discussion of the fractional quantum Hall effect in particular may be of independent interest to philosophers of physics concerned with its interpretation. (shrink)

Among the very architects of the recent re-emergence of emergentism in the physical sciences, Robert B. Laughlin certainly occupies a prominent place. Through a series of works beginning as early as his Nobel lecture in 1998, a lecture given after having been awarded, together with Störmer and Tsui, the Nobel prize in physics for its contribution in the elucidation of the fractional quantum Hall effect, Laughlin openly and relentlessly advocated a strongly anti-reductionistic view of physics – (...) and, more particularly, of the interface between condensed matter and particles physics – which culminated in what can be considered his emergentist manifesto: A Different Universe. Reinventing Physics from the Bottom Down (2005). In spite of this prominent role in the vindication of emergentism, rare are the philosophers, among whom even those sympathetic to the idea of emergence, who have paid serious attention to Laughlin’s insights. The subtleties of his view – it is true, often concealed in many technicalities – have accordingly, and somewhat unfortunately, mainly passed unnoticed. (shrink)

It is now well-known that Newton–Cartan theory is the correct geometrical setting for modelling the quantum Hall effect. In addition, in recent years edge modes for the Newton–Cartan quantum Hall effect have been derived. However, the existence of these edge modes has, as of yet, been derived using only orthodox methodologies involving the breaking of gauge-invariance; it would be preferable to derive the existence of such edge modes in a gauge-invariant manner. In this article, (...) we employ recent work by Donnelly and Freidel in order to accomplish exactly this task. Our results agree with known physics, but afford greater conceptual insight into the existence of these edge modes: in particular, they connect them to subtle aspects of Newton–Cartan geometry and pave the way for further applications of Newton–Cartan theory in condensed matter physics. (shrink)

The solution of the Klein-Gordon equation for a complex scalar field in the presence of an electrostatic field orthogonal to a magnetostatic field is analyzed. Considerations concerning the quantum Hall-type evolution are presented also. Using the Hamiltonian with a self-interaction term, we obtain a critical value for the magnetic field in the case of the spontaneous symmetry breaking.

In recent years, there has been much synergy between the exciting areas of quantum information science and ultracold atoms. This volume, as part of the proceedings for the XCI session of Les Houches School of Physics (held for the first time outside Europe in Singapore) brings together experts in both fields. The theme of the school focused on two principal topics: quantum information science and ultracold atomic physics. The topics range from Bose Einstein Condensates to Degenerate Fermi Gases (...) to fundamental concepts in Quantum Information Sciences, including some special topics on Quantum Hall Effects, Quantum Phase Transition, Interactions in Quantum Fluids, Disorder and Interference Phenomenoma, Trapped Ions and Atoms, and Quantum Optical Devices. (shrink)

The phenomena, molecular path in a liquid or a gas, fluctuating price stoke, fission and fusion, quantum field theory, relativistic wave motion, etc., are modeled through the nonlinear time fractional clannish random Walker’s parabolic equation, nonlinear time fractional SharmaTassoOlver equation, and the nonlinear space-time fractional KleinGordon equation. The fractional derivative is described in the sense of conformable derivative. From there, the G ′ / G, 1 / G -expansion method is found to be ensuing, effective, (...) and capable to provide functional solutions to nonlinear models concerning physical and engineering problems. In this study, an extension of the G ′ / G, 1 / G -expansion method has been introduced. This enhancement establishes broad-ranging and adequate fresh solutions. In addition, some existing solutions attainable in the literature also confirm the validity of the suggested extension. We believe that the extension might be added to the literature as a reliable and efficient technique to examine a wide variety of nonlinear fractional systems with parameters including solitary and periodic wave solutions to nonlinear FDEs. (shrink)

Free and weakly interacting particles are described by a second-quantized nonlinear Schrödinger equation, or relativistic versions of it. They describe Gaussian random walks with collisions. By contrast, the fields of strongly interacting particles are governed by effective actions, whose extremum yields fractional field equations. Their particle orbits perform universal Lévy walks with heavy tails, in which rare events are much more frequent than in Gaussian random walks. Such rare events are observed in exceptionally strong windgusts, monster or rogue waves, (...) earthquakes, and financial crashes. While earthquakes may destroy entire cities, the latter have the potential of devastating entire economies. (shrink)

We introduce a new approach to analyzing the interaction between classical and quantum systems that is based on a limiting procedure applied to multi-particle Schrödinger equations. The limit equations obtained by this procedure, which we refer to as the classical-quantum limit, govern the interaction between classical and quantum systems, and they possess many desirable properties that are inherited in the limit from the multi-particle quantum system. As an application, we use the classical-quantum limit equations to (...) identify the source of the non-local signalling that is known to occur in the classical-quantum hybrid scheme of Hall and Reginatto. We also derive the first order correction to the classical-quantum limit equation to obtain a fully consistent first order approximation to the Schrödinger equation that should be accurate for modeling the interaction between particles of disparate mass in the regime where the particles with the larger masses are effectively classical. (shrink)

In this article we argue that idealizations and limiting cases in models play an exploratory role in science. Four senses of exploration are presented: exploration of the structure and representational capacities of theory; proof-of-principle demonstrations; potential explanations; and exploring the suitability of target systems. We illustrate our claims through three case studies, including the Aharonov-Bohm effect, the emergence of anyons and fractional quantum statistics, and the Hubbard model of the Mott phase transitions. We end by reflecting on (...) how our case studies and claims compare to accounts of idealization in the philosophy of science literature such as Michael Weisberg’s three-fold taxonomy. (shrink)

We study the dynamics of a vortex in superfluid He4. This is carried out by deriving the effective Lagrangian for the center of the vortex by starting with the time-dependent Ginzburg-Landau formalism. From the resultant equation of motion for a vortex, we arrive at a novel aspect for the Magnus force which has long been known in fluid dynamics. This force has a geometric origin and is expected to occur in other form of condensates such as vortex excitations for (...) class='Hi'>quantum Hall fluids or ferromagnets. We also consider the force of non geometric origin, the pinning force coming from the impurity. (shrink)

In this essay, I consider what condensed matter physics has to say about the nature of spacetime. In particular, I consider the extent to which spacetime can be modeled as a quantum liquid, with matter and force fields described by effective field theories of the low-energy excitations of the liquid. After a brief review of effective field theories in 2-dim highly-correlated condensed matter systems, I evaluate analogies in the recent physics literature between spacetime and superfluid Helium, and proposals that (...) suggest spacetime is an emergent phenomenon arising from the edge states of a 4-dim Quantum Hall liquid. KeyworCh: spacetime, effective field theory, condensed matter, quantum gravity.. (shrink)

The interventionist account of causal explanation, in the version presented by Jim Woodward, has been recently claimed capable of buttressing the widely felt—though poorly understood—hunch that high-level, relatively abstract explanations, of the sort provided by sciences like biology, psychology and economics, are in some cases explanatorily optimal. It is the aim of this paper to show that this is mistaken. Due to a lack of effective constraints on the causal variables at the heart of the interventionist causal-explanatory scheme, as presently (...) formulated it is either unable to prefer high-level explanations to low, or systematically overshoots, recommending explanations at so high of a level as to be virtually vacuous. (shrink)

The textbook presentation of quantum mechanics, in a nutshell, is this. The physical state of any isolated system evolves deterministically in accordance with Schrödinger's equation until a "measurement" of some physical magnitude M (e.g. position, energy, spin) is made. Restricting attention to the case where the values of M are discrete, the system's pre-measurement state-vector f is a linear combination, or "superposition", of vectors f1, f2,... that individually represent states that..

It has been recently debated whether there exists a so-called “easy road” to nominalism. In this essay, I attempt to fill a lacuna in the debate by making a connection with the literature on infinite and infinitesimal idealization in science through an example from mathematical physics that has been largely ignored by philosophers. Specifically, by appealing to John Norton’s distinction between idealization and approximation, I argue that the phenomena of fractional quantum statistics bears negatively on Mary Leng’s proposed (...) path to easy road nominalism, thereby partially defending Mark Colyvan’s claim that there is no easy road to nominalism. (shrink)

Using a dataset of corporate philanthropic gifts of $1 million or more, we examine the influence of corporate donors on the performance of recipient non-profit organizations. We find that corporate donors positively influence NPO performance, specifically in the form of higher revenues per employee, program ratios, and fundraising returns. We find little evidence that large foundation or individual donors similarly enhance organizational performance. In additional analysis, we find that large corporate donations matter when the corporation is more likely to have (...) influence over the recipient NPO. These findings suggest that corporate donors provide the monitoring and expertise needed to enhance organizational performance beyond simply providing funding to NPOs. Our results are robust to a two-stage model and propensity score matching to address endogeneity concerns. While prior research has examined the effect of corporate philanthropy on donor organization performance, we contribute to the literature by examining whether corporate philanthropy also improves recipient organization performance. (shrink)

In 2002, then Cambridge student Joanna Jepson initiated a legal, ecclesial, and media conversation on selective termination for disability. Making herself available in a way that is vulnerable, palpable, and effective, Jepson has used subtle rhetorical skill to question the ways certain lives are appraised as precious or expendable. The now Revd Jepson’s witness may adumbrate a boundary past which the task of truly public bioethics becomes precarious. While ethicists may persuasively argue in the public square against positive eugenics — (...) against selectively breeding or genetically enhancing conception — opposition to negative eugenics — against the elimination of ‘unfit’ lives — stretches the bounds of apologetics. The theological bioethicist may be called to gesture toward the Whence? and the Whither?, even if the purveyors of public bioethics find this an objectionable undertaking. (shrink)

The importance of preserving trust in physicians and in medical institutions has received widespread attention in recent years. Primarily, this is due to the threats to trust posed by managed care, but there is a general and growing recognition that trust deserves more attention than it traditionally has received in all aspects of medical ethics, law, and public policy. Trust has both intrinsic and instrumental value. Trust is intrinsically important because it is a core characteristic that affects the emotional and (...) interpersonal aspects of the physician/patient relationship. As an instrumental value, trust is widely believed to be essential for effective therapeutic encounters. It has been hypothesized or shown to affect a host of important behaviors and attitudes relating to care, including seeking care, disclosing private information, complying with treatment, and being satisfied with care. Moreover, trust may be a mediator of measurable clinical outcomes and a key factor in the mind–body interactions that underlie placebo/nocebo effects and the effectiveness of alternative medicine. It is no surprise, then, that preserving, justifying, and enhancing trust is the fundamental goal of much of medical ethics, and is a prominent objective in healthcare law and public policy. Discussions of trust and related concepts were commonplace in professionally based medical ethics prior to the 1970s. a 1 2. (shrink)

Objective: Little empirical evidence exists to support either side of the ongoing debate over whether legalising physician aid in dying would undermine patient trust.Design: A random national sample of 1117 US adults were asked about their level of agreement with a statement that they would trust their doctor less if “euthanasia were legal [and] doctors were allowed to help patients die”.Results: There was disagreement by 58% of the participants, and agreement by only 20% that legalising euthanasia would cause them to (...) trust their personal physician less. The remainder were neutral. These attitudes were the same in men and women, but older people and black people had more agreement that euthanasia would lower trust. However, overall, only 27% of elderly people and 32% of black people thought that physician aid in dying would lower trust. These views differed with physical and mental health, and also with education and income, with those having more of these attributes tending to view physician aid in dying somewhat more favourably. Again, however, overall views in most of these subgroups were positive. Views about the effect of physician aid in dying on trust were significantly correlated with participants’ underlying trust in their physicians and their satisfaction with care. In a multivariate regression model, trust, satisfaction, age, and white/black race remained independently significant.Conclusion: Despite the widespread concern that legalising physician aid in dying would seriously threaten or undermine trust in physicians, the weight of the evidence in the USA is to the contrary, although views vary significantly. (shrink)

The concepts of joint probability as implied by the Copenhagen and realist interpretations of quantum mechanics are examined in relation to (a) the rules for manipulation of probabilistic quantities, and (b) the role of the Bell inequalities in assessing the completeness of standard quantum theory. Proponents of completeness of the Copenhagen interpretation are required to accept a modification of the classical laws of probability to provide a mechanism for complementarity. A new formulation of the locality postulate is given, (...) not involving factorizability or conditional probabilities, which clarifies the role of locality in the derivation of the Bell inequalities. (shrink)

Isis, or the Future of Oxford W J K Diplock Originally published in 1929 "A reactionary hit-back" Daily Mail This volume defends Oxford intellectual life and examines the institution as it really is, rather than relying on mis-guided media reports. 88pp Alma Mater or the Future of Oxford and Cambridge Julian Hall Originally published in 1928 "Conspicuously fair" Manchester Guardian "…he writes about the two universities with frankness, humour and intelligence." Nation This volume looks ahead and foresees the University (...) of the future as a research station, on a global scale, with each university or research station linking up to form one gigantic university. 88pp Chiron, or the Education of a Citizen of the World M Chaning Pearce Originally published in 1931 Admitting the many qualities of the Public School, this volume discusses its suitability for leadership under modern social, political and economic conditions. It concludes that while the public schools have produced a "governing class" of supreme administrative value in the past, it is failing to adapt itself to the modern need for co-operation rather than domination, and federalism rather than imperialism. 86pp Eleutheros, or the Future of the Public Schools J F Roxburgh Originally published in 1930 "The stimulating quality is not lacking. An excellent book which it would benefit every schoolmaster…and parent to read." Weekend Review This volume discusses the influence of the public schools as the creators of a particular social class, the dangers of their expensiveness and the sources from which they will be recruited in the future. The conclusion reached is that the future of the public schools depends upon social and economic forces whose effects cannot be foreseen. 92pp. (shrink)

In a 1798 letter to Christian Garve, Kant claims that without a transition [Übergang] from the metaphysical foundations of natural science to physics there will be a ‘gap’ in the Critical philosophy. He does not make clear, however, exactly what this gap is or how the transition is supposed to fill the gap. The Übergang section of Kant's Opus postumum has received considerable attention of late due to the many drafts it contains of Kant's Ether Deduction. Commentators have also hoped (...) to find a solution there to the gap problem. Little attention has been paid, however, to Kant's project in Convolut 10 of the OP which he began in August 1799 immediately after completing the Übergang section. Assuming that the Ether Deduction is sound and proves a priori the existence of a transcendental material condition for experience, Convolut 10 discusses what changes would have to be made to the transcendental formal conditions of experience in their empirical function given the addition of this transcendental material condition. Kant claims in Convolut 10 that these changes are necessary to finally effect a transition from the metaphysical foundations of natural science to physics and, as I will argue, such a transition will be tantamount to bridging the gap in the Critical philosophy mentioned in the letter to Garve. (shrink)

In this paper, I want to look at the way in which Deleuze's reading of Kant's transcendental dialectic influences some of the key thèmes of Différence and Répétition. As we shall see, in the transcendental dialectic, Kant takes the step of claiming that reason, in its natural functioning, is prone to misadventures. Whereas for Descartes, for instance, error takes place between two faculties, such as when reason (wrongly) infers that a stick in water is bent on the basis of sensé (...) impressions, Kant postulâtes that reason générâtes illusions internally purely in the course of its natural function. It is thèse illusions which lead reason into antinomy, as on the basis of thèse illusions, it is led to posit an illegitimate concept of the world as a totality. Further, for Kant, the antinomies represent an indirect proof of transcendental idealism, as it is only with the additional assumption of the noumenon, as that which falls outside of appearance, that we are able to résolve the antinomies. Deleuze's work on the image of thought clearly owes a great deal to Kant's theory of transcendental illusion, but the connections between Kant's transcendental dialectic and the structure of Différence and Répétition go deeper than this. Whereas Kant's problem is that reason générâtes contradictions when it assumes that the unconditioned can be given to reason, Deleuze's problem is the impossibility of developing a concept of différence within représentation. Between thèse two problems, there are significant structural parallels - in particular, the attempt to think outside the dichotomy of the finite and the infinité, and the attempt to prevent the application of spatio-temporal predicates to the noumenon. The antinomy of représentation for Deleuze is the inability of représentation to think différence apart from as purely representational or as undifferenciated abyss. As we shall see, Deleuze gives an explanation of this antinomy in terms of the differential calculus, and the notion of the differential in particular. While thèse parallels exist between Kant and Deleuze's thought, there are also some important différences. Although the differential is not determined in relation to représentation, this does not mean that it lacks ail détermination. This opens up a possibility not available in Kant's philosophy, that is, a thinking beyond the limit of représentation. As we shall see, Kant closes off this possibility by giving reason a heuristic function which in effect reinstates représentation. Kant makes this move precisely because the lack of spatiotemporal déterminations of the noumenal means for Kant that the noumenal lacks déterminations altogether. (shrink)