An effective formalism is developed to handle decaying two-state systems. Herewith, observables of such systems can be described by a single operator in the Heisenberg picture. This allows for using the usual framework in quantum information theory and, hence, to enlighten the quantum features of such systems compared to non-decaying systems. We apply it to systems in high energy physics, i.e. to oscillating meson–antimeson systems. In particular, we discuss the entropic Heisenberg uncertainty relation for observables measured at different (...) times at accelerator facilities including the effect of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal{CP}$\end{document} violation, i.e. the imbalance of matter and antimatter. An operator-form of Bell inequalities for systems in high energy physics is presented, i.e. a Bell-witness operator, which allows for simple analysis of unstable systems. (shrink)

This is an entry to the Compendium of Quantum Physics, edited by F Weinert, K Hentschel and D Greenberger, to be published by Springer-Verlag.

This is an entry to the Compendium of Quantum Physics, edited by F Weinert, K Hentschel and D Greenberger, to be published by Springer-Verlag.

Heisenberg's uncertainty principle is usually taken to express a limitation of operational possibilities imposed by quantum mechanics. Here we demonstrate that the full content of this principle also includes its positive role as a condition ensuring that mutually exclusive experimental options can be reconciled if an appropriate trade-off is accepted. The uncertainty principle is shown to appear in three manifestations, in the form of uncertainty relations: for the widths of the position and momentum distributions in any quantum (...) state; for the inaccuracies of any joint measurement of these quantities; and for the inaccuracy of a measurement of one of the quantities and the ensuing disturbance in the distribution of the other quantity. Whilst conceptually distinct, these three kinds of uncertainty relations are shown to be closely related formally. Finally, we survey models and experimental implementations of joint measurements of position and momentum and comment briefly on the status of experimental tests of the uncertainty principle. (shrink)

In this paper we critically analyse W. Heisenberg’s arguments against the ontology of point particles following trajectories in quantum theory, presented in his famous 1927 paper and in his Chicago lectures (1929). Along the way, we will clarify the meaning of Heisenberg’s uncertainty relation and help resolve some confusions related to it.

A physical basis for the minimal time-energy uncertainty relation is formulated from basic high-energy hadronic properties such as the resonance mass spectrum, the form factor behavior, and the peculiarities of Feynman's parton picture. It is shown that the covariant oscillator formalism combines covariantly this time-energy uncertainty relation with Heisenberg's space-momentum uncertainty relation. A pictorial method is developed to describe the spacetime distribution of the localized probability density.

It is shown that the jet mechanism derivable from the Lorentz deformation picture leads to a nearly constant average jet transverse momentum. It is pointed out that this is consistent with the high-energy experimental data. It is pointed out further that this result strengthens the physical basis for the minimal time-energy uncertainty combined covariantly with Heisenberg's space-momentum uncertainty relation.

Heisenberg's position-measurement-momentum-disturbance relation is derivable from the uncertainty relation σ(q)σ(p) ≥ h/2 only for the case when the particle is initially in a momentum eigenstate. Here I derive a new measurement-disturbance relation which applies when the particle is prepared in a twin-slit superposition and the measurement can determine at which slit the particle is present. The relation is d × Δp ≥ 2h/π, where d is the slit separation and Δp = DM(Pf, Pi) is the (...) Monge distance between the initial Pi(p) and final Pf(p) momentum distributions. (shrink)

Some problems relating to the probabilistic description of a free particle and of a charged particle moving in an electromagnetic field are discussed. A critical analysis of the Klein-Gordon equation and of the Dirac equation is given. It is also shown that there is no connection between commutativity of operators for physical quantities and the existence of their joint probability. It is demonstrated that the Heisenberg uncertainty relation is not universal and explained why this is so. A universal (...) uncertainty relation for canonically conjugate coordinates and momenta is suggested. (shrink)

It is shown that both covariant harmonic oscillator formalism and quantum field theory are based on common physical principles which include Poincaré covariance, Heisenberg's space-momentum uncertainty relation, and Dirac's “C-number” time-energy uncertainty relation. It is shown in particular that the oscillator wave functions are derivable from the physical principles which are used in the derivation of the Klein-Nishina formula.

The seminal work by one of the most important thinkers of the twentieth century, Physics and Philosophy is Werner Heisenberg's concise and accessible narrative of the revolution in modern physics, in which he played a towering role. The outgrowth of a celebrated lecture series, this book remains as relevant, provocative, and fascinating as when it was first published in 1958. A brilliant scientist whose ideas altered our perception of the universe, Heisenberg is considered the father of quantum physics; he is (...) most famous for the Uncertainty Principle, which states that quantum particles do not occupy a fixed, measurable position. His contributions remain a cornerstone of contemporary physics theory and application. Book jacket. (shrink)

According to the Rayleigh criterion of classical optics, the finite resolving power of a microscope is due to the width of the central peak of the Fraunhofer diffraction pattern produced by the microscope's finite lens aperture. During the last few decades, theories and techniques for superresolution beyond the Rayleigh criterion have been developed in classical optics. Thus, Heisenberg's microscope could also in principle be made to give superresolution and thereby appear to violate the uncertainty relation. We believe that (...) this paradox is due to the inappropriate use of a definition, based purely on experimental convenience, to support a quantum mechanical theorem. (shrink)

Bohr and Heisenberg suggested that the thermodynamical quantities of temperature and energy are complementary in the same way as position and momentum in quantum mechanics. Roughly speaking their idea was that a definite temperature can be attributed to a system only if it is submerged in a heat bath, in which case energy fluctuations are unavoidable. On the other hand, a definite energy can be assigned only to systems in thermal isolation, thus excluding the simultaneous determination of its temperature. Rosenfeld (...) extended this analogy with quantum mechanics and obtained a quantitative uncertainty relation in the form ΔU Δ(1/T) ≥ k, where k is Boltzmann's constant. The two “extreme” cases of this relation would then characterize this complementarity between isolation (U definite) and contact with a heat bath (T definite). Other formulations of the thermodynamical uncertainty relations were proposed by Mandelbrot (1956, 1989), Lindhard (1986), and Lavenda (1987, 1991). This work, however, has not led to a consensus in the literature. It is shown here that the uncertainty relation for temperature and energy in the version of Mandelbrot is indeed exactly analogous to modern formulations of the quantum mechanical uncertainty relations. However, his relation holds only for the canonical distribution, describing a system in contact with a heat bath. There is, therefore, no complementarily between this situation and a thermally isolated system. (shrink)

The seminal work by one of the most important thinkers of the twentieth century, Physics and Philosophy is Werner Heisenberg's concise and accessible narrative of the revolution in modern physics, in which he played a towering role. The outgrowth of a celebrated lecture series, this book remains as relevant, provocative, and fascinating as when it was first published in 1958. A brilliant scientist whose ideas altered our perception of the universe, Heisenberg is considered the father of quantum physics; he is (...) most famous for the Uncertainty Principle, which states that quantum particles do not occupy a fixed, measurable position. His contributions remain a cornerstone of contemporary physics theory and application. (shrink)

Dedicating one’s life to the task of exploring particular relations within nature automatically leads one to ask again and again how those particular relations arrange themselves harmonically into the whole, the way life, or the world present itself to us.

The research has three objectives: 1) to study the concept of Heisenberg’s uncertainty principle, 2) to study the concept of reality and knowledge in Buddhist philosophy, and 3) to analyze the concept of Heisenberg’s uncertainty principle in Buddhist philosophical perspective. This is documentary research. In this research, it was found that Heisenberg's uncertainty principle refers to the experiment of thought while studying physical reality on smaller particles than atoms where at the present no theory of (...) Physics can clearly explain such properties. In this respect, the mentioned principle is utilized to predict the pairs of a certain attribute of physics, position, and momentum, for instance. The accuracy of position, however, cannot be precisely yielded in advance by such a principle. In other words, it is impossible to measure the position and momentum of a quantum particle at the same time. In the study of the ultimate reality on the matter in the Buddhist philosophy, it showed that corporeality in nature is conditioned by cause and effect and thereby falling under the three common characteristics: 1) impermanence, 2) state of suffering, and 3) state of non-substantiality. In the study of Heisenberg’s uncertainty principle in the Buddhist philosophical perspective, this research was found that the processes in acquiring certain knowledge of Heisenberg and Buddhist philosophy are by one another in the sense that such knowledge is methodologically acquired through experience, rationality, and intuition because both see the Reality in the same manners, that is, the physical reality is viewed by Heisenberg as the thing that goes under changing state of wave-particle all the times, and the matter is seen by Buddhist philosophy as the impermanence and change depending upon its factors involved and thereby is not-self. However, in the different aspect, on the one hand, Buddhist philosophy utilizes the knowledge on the matter to develop the morality and ethics by which the cessation of suffering could be respectively made, but on the other hand, Heisenberg somehow applies the certain knowledge on physical objects into quantum technology to accommodate the physical comfortability in living life. Suggestions in the application of knowledge gained from this research into benefit were that while Buddhist philosophy can make use of Heisenberg’s uncertainty principle to provide certain help at the time of explanation of three common characteristics being done through the scientific method, science also can utilize knowledge gained from Buddhist philosophy to expand the framework of scientific knowledge which is aimed at studying only the physical objects to be able to study the mental objects through the integration of three epistemological methods as well. (shrink)

We explore the different meanings of “quantum uncertainty” contained in Heisenberg’s seminal paper from 1927, and also some of the precise definitions that were developed later. We recount the controversy about “Anschaulichkeit”, visualizability of the theory, which Heisenberg claims to resolve. Moreover, we consider Heisenberg’s programme of operational analysis of concepts, in which he sees himself as following Einstein. Heisenberg’s work is marked by the tensions between semiclassical arguments and the emerging modern quantum theory, between intuition (...) and rigour, and between shaky arguments and overarching claims. Nevertheless, the main message can be taken into the new quantum theory, and can be brought into the form of general theorems. They come in two kinds, not distinguished by Heisenberg. These are, on one hand, constraints on preparations, like the usual textbook uncertainty relation, and, on the other, constraints on joint measurability, including trade-offs between accuracy and disturbance. (shrink)

This book presents the first detailed account of Werner Heisenberg’s failed attempt to find a theory of everything in the autumn of his career. It further investigates what we can learn from his failure in relation to the search for a final theory of physics, an endeavour that continues to define research in fundamental physics to this day. Thereby it provides the first historically informed contribution to the current debate on post-empirical physics and the state of particle physics.

Heisenberg’s uncertainty principle is a milestone of twentieth-century physics. We sketch the history that led to the formulation of the principle, and we recall the objections of Grete Hermann and Niels Bohr. Then we explain that there are in fact two uncertainty principles. One was published by Heisenberg in the Zeitschrift für Physik of March 1927 and subsequently targeted by Bohr and Hermann. The other one was introduced by Earle Kennard in the same journal a couple of (...) months later. While Kennard’s principle remains untarnished, the principle of Heisenberg has recently been criticized in a way that is very different from the objections by Bohr and Hermann: there are reasons to believe that Heisenberg’s formula is not valid. Experimental results seem to support this claim. -/- . (shrink)

In this work I propose an analogy between Pythagoras's theorem and the logical-formal structure of Werner Heisenberg's "relations of uncertainty." The reasons that they have pushed to me to place this analogy have been determined from the following ascertainment: Often, when in exact sciences a problem of measurement precision arises, it has been resolved with the resource of the elevation to the square. To me it seems also that the aporie deriving from the uncertainty principle can find one (...) solution with the resource to this stratagem. In fact, if the first classic example of the argument is the solution of the incommensurability between catheti and the hypotenuse of the triangle rectangle, one of the last cases is that which is represented from Heisenberg's principle of uncertainty. (shrink)

We construct logical languages which allow one to represent a variety of possible types of changes affecting the information states of agents in a multi-agent setting. We formalize these changes by defining a notion of epistemic program. The languages are two-sorted sets that contain not only sentences but also actions or programs. This is as in dynamic logic, and indeed our languages are not significantly more complicated than dynamic logics. But the semantics is more complicated. In general, the semantics of (...) an epistemic program is what we call aprogram model. This is a Kripke model of ‘actions’,representing the agents' uncertainty about the current action in a similar way that Kripke models of ‘states’ are commonly used in epistemic logic to represent the agents' uncertainty about the current state of the system. Program models induce changes affecting agents' information, which we represent as changes of the state model, called epistemic updates. Formally, an update consists of two operations: the first is called the update map, and it takes every state model to another state model, called the updated model; the second gives, for each input state model, a transition relation between the states of that model and the states of the updated model. Each variety of epistemic actions, such as public announcements or completely private announcements to groups, gives what we call an action signature, and then each family of action signatures gives a logical language. The construction of these languages is the main topic of this paper. We also mention the systems that capture the valid sentences of our logics. But we defer to a separate paper the completeness proof. (shrink)

Available from UMI in association with The British Library. ;This thesis investigates the application of the theory of Conceptual Structures to an Experience Base model, which is a question-answering system for a knowledge base of pseudo-natural language statements of everyday experience. This thesis progresses to extend the fundamental principles carried from the experience base, to develop a framework for Reasoning by Analogy. Both methodologies are implemented, and uncertainty in the models is handled using the theory of Support Logic. ;Incompleteness (...) of information, uncertainty of data and the need for a definite structure to the way in which rules and data interact, are aspects which must be dealt with if the experience base is to succeed. One more aspect is the knowledge representation which dictates the ease with which processing may be performed upon it. Conceptual graphs are used to store information used by an Experience Base. Control of the reasoning is effected by plausible inference reinforced by the theory of Support Logic for handling uncertainty. The knowledge base is a set of initially completely disparate islands of knowledge, which the system automatically clusters into coherent groups in an associative network. ;The principles evolved from research into experience bases lead to the conception, development and implementation of a computational framework for Analogical Reasoning. The reasoning is performed between domains of knowledge rather than within a single domain as in case-based reasoning, and operates on pseudo-natural language statements as for the experience base. It relies on relation-based structure mapping and includes a sophisticated mechanism for translating between the new problem and the analogue. The strong connection between this work and metaphor interpretation is also investigated, together with ideas on how to negotiate with the apparent multitude of types of analogical reasoning. (shrink)

Quantum uncertainty relations have deep-rooted significance in the formalism of quantum mechanics. Heisenberg’s uncertainty relations attracted a renewed interest for its applications in quantum information science. Following the discovery of the Heisenberg uncertainty principle, Robertson derived a general form of Heisenberg’s uncertainty relations for a pair of arbitrary observables represented by Hermitian operators. In the present work, we discover a temporal version of the Heisenberg–Robertson uncertainty relations for the measurement of two observables at (...) two different times, where the dynamical uncertainties crucially depend on the time evolution of the observables. The uncertainties not only depend on the choice of observables but also depend on the times at which the physical observables are measured. The time correlated two-time commutator dictates the trade-off between the dynamical uncertainties. We demonstrate the dynamics of these uncertainty relations for a spin-1/2 quantum system and for a quantum harmonic oscillator. We also present the dynamical uncertainty relation in terms of entropies, where the temporal entropic uncertainties are restricted by a time-dependent complementarity factor. The temporal uncertainty relations explored in this work can be experimentally verified with the present quantum technology. (shrink)

We report on the simultaneous determination of complementary wave and particle aspects of light in a double-slit type “welcher-weg” experiment beyond the limitations set by Bohr’s Principle of Complementarity. Applying classical logic, we verify the presence of sharp interference in the single photon regime, while reliably maintaining the information about the particular pinhole through which each individual photon had passed. This experiment poses interesting questions on the validity of Complementarity in cases where measurements techniques that avoid Heisenberg’s uncertainty (...) principle and quantum entanglement are employed. We further argue that the application of classical concepts of waves and particles as embodied in Complementarity leads to a logical inconsistency in the interpretation of this experiment. (shrink)

For a simple set of observables we can express, in terms of transition probabilities alone, the Heisenberg uncertainty relations, so that they are proven to be not only necessary, but sufficient too, in order for the given observables to admit a quantum model. Furthermore distinguished characterizations of strictly complex and real quantum models, with some ancillary results, are presented and discussed.

Experiments have suggested that umbilical cord blood stem cells can be used to prevent diseases such as atherosclerosis. This paper discusses ethical issues surrounding such usage such as the uncertainty that individuals at risk of a disease will actually get the disease; issues related to research with children; safety issues; from where these stem cells would be obtained; and whether these usages should be considered as therapies or as physical enhancements.

‘Individualized medicine’ is an emerging paradigm in clinical life science research. We conducted a socio-empirical interview study in a leading German clinical research group, aiming at implementing ‘individualized medicine’ of colorectal cancer. The goal was to investigate moral and social issues related to physician–patient interaction and clinical care, and to identify the points raised, supported and rejected by the physicians and researchers. Up to now there has been only limited insight into how experts dedicated to individualized medicine view its problems. (...) Interviews with researchers and clinicians (n= 19) were based on a prestructured questionnaire. The content analysis revealed a broad spectrum of opinions. Major findings were (a) disappointments with the limits of the current therapy regimen and clinical practice; (b) problematic impacts on physician–patient relationship; and (c) an informed consent procedure which is mainly based on paternalistic assumptions. According to our analysis, major problems will be uncertainties related to the biomarker's sensitivity and specificity, and the identification of ‘non-responders’. However, the findings also indicate that experts expect evidence-based medicine to replace decisions based on gut feeling or hierarchical structures. (shrink)

Computer-mediated interaction on the Internet provides new opportunities to examine the links between reputation, risk, and the development of trust between individuals who engage in various types of exchange. In this article, we comment on the application of experimental sociological research to different types of computer-mediated social interactions, with particular attention to the emergence of what we call ‘trust networks’ (networks of those one views as trustworthy). Drawing on the existing categorization systems that have been used in experimental social psychology, (...) we relate the various forms of computer-mediated exchange to selected findings from experimental research. We develop a simple typology based on the intersection of random versus fixed-partner social dilemma games, and repeated versus one-shot interaction situations. By crossing these two types of social dilemma games and two types of interaction situations, we show that many forms of Internet exchange can be categorized effectively into four mutually exclusive categories. The resulting classification system helps to integrate the existing research on t rust in experimental social psychology with the emerging field of computer-mediated exchange. (shrink)

The effects of the vacuum electromagnetic fluctuations and the radiation reaction fields on the time development of a simple microscopic system are identified using a new mathematical method. This is done by studying a charged mechanical oscillator (frequency Ω 0)within the realm of stochastic electrodynamics, where the vacuum plays the role of an energy reservoir. According to our approach, which may be regarded as a simple mathematical exercise, we show how the oscillator Liouville equation is transformed into a Schrödinger-like stochastic (...) equation with a free parameter h′ with dimensions of action. The role of the physical Planck's constant h is introduced only through the zero-point vacuum electromagnetic fields. The perturbative and the exact solutions of the stochastic Schrödinger-like equation are presented for h′>0. The exact solutions for which h′<h are called sub-Heisenberg states. These nonperturbative solutions appear in the form of Gaussian, non-Heisenberg states for which the initial classical uncertainty relation takes the form 〈(δx 2)〉〈(δp) 2 〉=(h′/2) 2,which includes the limit of zero indeterminacy (h → 0). We show how the radiation reaction and the vacuum fields govern the evolution of these non-Heisenberg states in phase space, guaranteeing their decay to the stationary state with average energy hΩ 0 /2 and 〈(δx) 2 〉〈(δp) 2 〉=h 2 /4 at zero temperature. Environmental and thermal effects-are briefly discussed and the connection with similar works within the realm of quantum electrodynamics is also presented. We suggest some other applications of the classical non-Heisenberg states introduced in this paper and we also indicate experiments which might give concrete evidence of these states. (shrink)

Many drugs used in paediatric medicine are off-label. There is a rising call for the use of adaptive clinical trial designs in responding to the need for safe and effective drugs given their potential to offer efficiency and cost-effective benefits compared with traditional clinical trials. ADs have a strong appeal in paediatric clinical trials given the small number of available participants, limited understanding of age-related variability and the desire to limit exposure to futile or unsafe interventions. Although the ethical value (...) of adaptive trials has increasingly come under scrutiny, there is a paucity of literature on the ethical dilemmas that may be associated with paediatric adaptive designs. This paper highlights some of these ethical concerns around safety, scientific/social value and caregiver/guardian comprehension of the trial design. Against this background, the paper develops a non-static conceptual lens for understanding PADs. It shows that ADs are epistemically open and reduce some of the knowledge-associated uncertainties inherent in clinical trials as well as fast-track the time to draw conclusions about the value of evaluated drugs/treatments. On this note, the authors argue that PADs are ethically justifiable given they have multiple layers of safety, exposing enrolled children to lesser potential risks, create social/scientific value generally and for paediatric populations in particular, specifically foster the flourishing of paediatric populations and can significantly improve paediatric trial efficiency when properly designed and implemented. However, because PADs are relatively new and their regulatory, ethical and logistical characteristics are yet to be clarified in some jurisdictions, the cooperation of various public and private stakeholders is required to ensure that the interests of children, their caregivers and parents/guardians are best served while exposing paediatric research subjects to the most minimal of risks when they are enrolled in paediatric trials that use ADs. Data sharing not applicable as no datasets generated and/or analysed for this study. Not applicable. (shrink)

The present thesis considers, in the light of Heisenberg's interpretation of the uncertainty formulas, the conditions necessary for the derivation of the quantitative statement or law of momentum conservation. The result of such considerations is a contradiction between the formalism of quantum physics and the asserted consequences of Heisenberg's interpretation. This contradiction decides against Heisenberg's interpretation of the uncertainty formulas on upholding that the formalism of quantum physics is both consistent and complete, at least insofar as the statement (...) of momentum conservation can be proved within this formalism. A few comments are also included on Bohr's “complementarity interpretation” of the formalism of quantum physics. A suggestion, based on a statistical mode of empirical testing of the “uncertainty” formulas, does not give rise to any such contradiction. (shrink)

Life history theory suggests that in risky and uncertain environments the optimal reproductive strategy is to reproduce early in order to maximize the probability of leaving any descendants at all. The fact that early menarche facilitates early reproduction provides an adaptationist rationale for our first two hypotheses: that women who experience more risky and uncertain environments early in life would have (1) earlier menarche and (2) earlier first births than women who experience less stress at an early age. Attachment theory (...) and research provide the rationale for our second two hypotheses: that the subjective early experience of risky and uncertain environments (insecurity) is (3) part of an evolved mechanism for entraining alternative reproductive strategies contingent on environmental risk and uncertainty and (4) reflected in expected lifespan. Evidence from our pilot study of 100 women attending antenatal clinics at a large metropolitan hospital is consistent with all four hypotheses: Women reporting more troubled family relations early in life had earlier menarche, earlier first birth, were more likely to identify with insecure adult attachment styles, and expected shorter lifespans. Multivariate analyses show that early stress directly affected age at menarche and first birth, affected adult attachment in interaction with expected lifespan, but had no effect on expected lifespan, where its original effect was taken over by interactions between age at menarche and adult attachment as well as age at first birth and adult attachment. We discuss our results in terms of the need to combine evolutionary and developmental perspectives and the relation between early stress in general and father absence in particular. (shrink)

This paper investigates hypotheses drawn from two sources: (1) Belsky, Steinberg, and Draper’s (1991) attachment theory model of the development of reproductive strategies, and (2) recent life history models and comparative data suggesting that environmental risk and uncertainty may be potent determinants of the optimal tradeoff between current and future reproduction. A retrospective, self-report study of 136 American university women aged 19–25 showed that current recollections of early stress (environmental risk and uncertainty) were related to individual differences in (...) adult time preference and adult sexual behavior, and that individual differences in time preference were related to adult attachment organization and sexual behavior. These results are consistent with the hypothesis that perceptions of early stress index environmental risk and uncertainty and mediate the attachment process and the development of reproductive strategies. On this view individual differences in time preference are considered to be part of the attachment theoretical construct of an internal working model, which itself is conceived as an evolved algorithm for the contingent development of alternative reproductive strategies. (shrink)

Brodtkorb's "phenomenological reading" discusses the conceptually resistant realities, "World," "Body," "Others," and "Time," as they are interpreted in Moby Dick, and are focused by Melville in the inscrutable meaning of the white whale. "Mediation" is the key to interpretation, and, thus, the hero of the novel is Ishmael, who understands that the whale's meaning is constituted anew by each perceiver; Ishmael's mental life is a succession of attitudes—a series of "incantations"—which matches existence as process. From this phenomenological point of view, (...) Ahab's rigid interpretation of the whale as an allegory of divine malevolence is doomed, since allegory is a static mediated category, untrue to process. Yet this processional epistemology is itself in doubt if, as Brodtkorb admits, the uncertainty of the inscrutable is itself in question; and this doubt allows for the potential correctness of even Ahab's reductive allegorization. Thus, while Brodtkorb's phenomenology is a very sensitive instrument for indicating the shifting meanings of Melville's world, the final relation of potentially correct and incantatory concepts to this world is weakly conceived, due to the weakness of the instrument itself.—E. S. T. (shrink)

The COVID-19 pandemic has had pronounced effects on individuals' psychological well-being around the world. Concerns regarding the consequences of infection, as well as the general uncertainty and governmental regulations have resulted in increased psychological distress among many populations and cultures. In this regard, research has shown that the manner by which individuals perceive such large-scale threats and appraise them significantly contributes to the psychological consequences of such events. According to the Hostile-World Scenario model, negative engagement with such threats weakens (...) one's competence and coping abilities, whereas positive engagement facilitates resilience and enhances psychological adjustment. Accordingly, the current study examines the moderating role of both NE and PE in the connections of two main features of the current pandemic, COVID-19-related worries and loneliness, with anxiety. Data were collected between March 16 and April 14, 2020, from 1,112 Israelis, who provided information regarding COVID-19 health worries, loneliness, and anxiety. A special measure assembled items pertinent to the HWS-NE and HWS-PE throughout the survey. Results demonstrated that both HWS-NE and HWS-PE were significant moderators. COVID-19-related health worries/loneliness were linked with anxiety only among individuals with high HWS-NE, and were non-significant among those with low HWS-NE. Moreover, the positive association between loneliness and anxiety was significantly mitigated by high HWS-PE. The discussion highlights the importance of the HWS for understanding the psychological consequences of COVID-19 and offers practical suggestions, which may aid mental health practitioners in providing assistance and support to the general population. (shrink)

A century after the advent of quantum mechanics and general relativity, both theories enjoy incredible empirical success, constituting the cornerstones of modern physics. Yet, paradoxically, they suffer from deep-rooted, so-far intractable, conflicts. Motivations for violations of the notion of relativistic locality include the Bell’s inequalities for hidden variable theories, the cosmological horizon problem, and Lorentz-violating approaches to quantum geometrodynamics, such as Horava–Lifshitz gravity. Here, we explore a recent proposal for a “real ensemble” non-local description of quantum mechanics, in which “particles” (...) can copy each others’ observable values AND phases, independent of their spatial separation. We first specify the exact theory, ensuring that it is consistent and has quantum mechanics as a fixed point, where all particles with the same values for a given observable have the same phases. We then study the stability of this fixed point numerically, and analytically, for simple models. We provide evidence that most systems are locally stable to small deviations from quantum mechanics, and furthermore, the phase variance per value of the observable, as well as systematic deviations from quantum mechanics, decay as \ time)\, where \. Interestingly, this convergence is controlled by the absolute value of energy, suggesting a possible connection to gravitational physics. Finally, we discuss different issues related to this theory, as well as potential novel applications for the spectrum of primordial cosmological perturbations and the cosmological constant problem. (shrink)

Gödel's Incompleteness Theorems have the same scientific status as Einstein's principle of relativity, Heisenberg's uncertainty principle, and Watson and Crick's double helix model of DNA. Our aim is to discuss some new faces of the incompleteness phenomenon unveiled by an information-theoretic approach to randomness and recent developments in quantum computing.

In lieu of an abstract, here is a brief excerpt of the content:Philosophy and Literature 25.1 (2001) 166-169 [Access article in PDF] Book Review Cross-Examining Socrates: A Defense of the Interlocutors in Plato's Early Dialogues Cross-Examining Socrates: A Defense of the Interlocutors in Plato's Early Dialogues, by John Beversluis; xii & 416 pp. Cambridge: Cambridge University Press, 2000, $69.95. This book is more than a cross-examination of Socrates: it is a carefully wrought indictment. Beversluis, unlike Socrates' historical adversaries Anytus and (...) Meletus, brings philosophically serious charges against Socrates by offering a rigorous defense of the interlocutors in Plato's early dialogues, the so-called Socratic dialogues. In so doing, he charts new territory in the vast area of recent analytic scholarship on Plato.According to traditional readings, Socrates deploys his elenchus to defeat his interlocutors, leaving them "either to retreat in anger or to submit to his power." Allegedly, Plato, guided by his Socratic intellectualism, draws them as distinctive, complex characters, though intellectually and thus ethically flawed. Beversluis argues against this standard view, providing sympathetic reassessment of Socrates' interlocutors. Although some previous scholars have defended some of the interlocutors, Beversluis widens the scope of the argument, leveling a scathing attack on Socratic intellectualism and its correlative method of moral education.He deals not only with Socrates' interlocutors and their logical defeats, but also with the idea of an interlocutor, and in so doing casts light on the philosophical dialogue as a genre. This emerges in the first and perhaps most original chapter, entitled "The Socratic Interlocutor," which may be of value to readers interested in philosophical writing or the philosophy of literature more generally. Here he illuminates Plato's use of the interlocutor, in part, by contrasting it with that of other philosophers who wrote in dialogue form, such as Augustine, Anselm, Hume, and Berkeley. The Socratic interlocutors are not, he says, "embodiments of error." Socrates, unlike the protagonists drawn by these other authors, does not subject them to his scrutiny in order to make them accept his beliefs, but rather to reject theirs. Beversluis claims that Plato's portrayal expresses his Socratic belief in the good life as one of bewilderment and uncertainty, a view, Beversluis rightly says, Plato will come to repudiate in his middle dialogues. Beversluis is clearly aware of the disparity between the [End Page 166] discomfort Socrates visits on his interlocutors and that which he is willing to endure himself.While many interpreters forgive Socrates' lapses of logic, Beversluis is unsparing. There is no reason, he thinks, to judge Socrates' arguments by any other criterion than their logical merits, and he therefore rejects the idea that Socrates' most fallacious arguments are valuable for psychological illumination. He also rejects Vlastos's view that only those of Socrates' arguments that are offered "seriously" should be criticized seriously. If they appear to be logical arguments, Beversluis contends, they must be assessed on their logical merits, not their rhetorical or therapeutic virtues. Some might find this approach rather arid until they see that Beversluis is warning the reader not to be dazzled by Socrates as the interlocutors are.It is widely believed that the aim of Socratic elenchus is to uncover the structure of a person's beliefs and to show that it is either internally inconsistent or at best unreflectively constructed. Beversluis's account, however, portrays Socrates as a Svengali who makes people assent to claims they would not otherwise accept. If this is right, Socrates is not actually elucidating the interlocutor's real beliefs. Beversluis challenges the notion of sincere assent, both as an interpretative guide to the early dialogues and as an epistemic concept. He points out that sincere belief is not simply an occurrent interior state accompanying, and indicated by, a verbal act of assent; rather, it emerges from the totality of a person's lived character, from the relation between word and act.Some readers will object to his axiom that a character in a literary work, and thus in a Platonic dialogue, has a life subject to scrutiny outside of the literary work. In his brief... (shrink)

This article addresses the complex reflections regarding gender relations expressed by women active in the contemporary Islamic revival movements in Europe (especially France and Germany). Much recent research conducted among these groups aims to counter the rather negative accounts prevailing in public discourses on gender and Islam. This literature notably argues that women's conscious turn to Islam is not necessarily a reaffirmation of male domination, but that it constitutes a possibility for agency and empowerment. However, when faced with certain ‘traditionalist’ (...) positions defended by these women, even this well-meaning literature seems precarious, left in a state of uncertainty. Taking this puzzlement as a point of departure, this contribution aims to think about the dilemmas involved in articulating a language for women's dignity and self-realization, which competes with dominant languages of equality, individual rights and autonomy. This project is rendered even more intricate by the fact that these pious Muslim women socialized in Europe have also been partly fashioned by the liberal discourses against which they want to position themselves. (shrink)

Unlike almost all other philosophers of science, Karl Popper sought to contribute to natural philosophy or cosmology – a synthesis of science and philosophy. I consider his contributions to the philosophy of science and quantum theory in this light. There is, however, a paradox. Popper’s most famous contribution – his principle of demarcation – in driving a wedge between science and metaphysics, serves to undermine the very thing he professes to love: natural philosophy. I argue that Popper’s philosophy of science (...) is, in this respect, defective. Science cannot proceed without making highly problematic metaphysical assumptions concerning the comprehensibility and knowability of the universe. Precisely because these assumptions are problematic, rigour requires that they be subjected to sustained critical scrutiny, as an integral part of science itself. Popper’s principle of demarcation must be rejected. Metaphysics and philosophy of science become a vital part of science. Natural philosophy is reborn. A solution to the problem of what it means to say a theory is unified is proposed, a problem Popper failed to solve. In The Logic of Scientific Discovery, Popper made important contributions to the interpretation of quantum theory, especially in connection with Heisenberg's uncertainty relations. Popper's advocacy of natural philosophy has important implications for education. (shrink)

Like other Arab countries, Jordan must find ways of responding to the rapid processes of change affecting many aspects of social life. This is particularly urgent in healthcare, where social and technical change is often manifested in tensions about ethical decision-making in the clinic. To explore the attitudes, beliefs and concerns relating to ethical decision-making among health professionals in Jordanian hospitals, a qualitative study was conducted involving face-to-face interviews with medical personnel in four hospitals in Amman, the capital of Jordan. (...) Data were analysed thematically in relation to a pre-existing set of ethical categories. Interviews were conducted with thirty-eight doctors covering most medical specialities. Five major themes emerged from the interviews: ethical awareness, ethical issues, the impact of religion on ethical decision-making, practical and theoretical resources for ethical decision-making, and challenges. While uncertainty was expressed about some aspects of Western approaches to ethics, participants strongly supported adoption of a range of Western bioethical principles, including cultural and ethical diversity, along with adherence to Islamic religious norms. A range of serious ethical challenges facing the Jordanian health system were identified, covering social, legal, managerial, and technical issues. Ethical decision-making in Jordan is complex, having to accommodate the needs of patients, the opinions of doctors and their families, the views of religious authorities, managerial considerations, and both local norms and international standards. Health professionals struggle with three sets of tensions that emerge out of the struggle between traditional, community-embedded forms of social organization and the demands generated by globalization and the influence of Western culture: the tensions between tradition and modernity, conservatism and pragmatism, and religion and secularism. Doctors in Jordan prefer approaches to ethical decision-making that realize a balance between the extremes, although the exact nature of where that balance should lie remains uncertain. (shrink)

Drawing from the work of Dewey, Wittgenstein, and Heidegger, this book aims to relate a series of philosophic insights to the practice of engaging in design research for change. These insights are explored and presented as a set of potential strategies for grounding transformative design research within an intellectual context which both embraces and celebrates experience, process, and uncertainty. Chapter by chapter, through theory, practical examples, and case studies an accessible narrative opens up around the coupled themes of existence (...) and experience, language and meaning, and knowing and truth. The outcome is a rich and detailed perspective on the ways in which philosophy may afford design research for change a means to both explain, as well as understand, not only what it is and what it does, but also what it could be. The book will be of interest to scholars working in design studies, design theory and design research. (shrink)

In this paper, we show that the Kirchhoff equations are derived from the Schrödinger equation by assuming the wave function to be a polynomial like solution. These Kirchhoff equations describe the evolution of n point vortices in hydrodynamics. In two dimensions, Kirchhoff equations are used to demonstrate the solution to single particle Laughlin wave function as complex Hermite polynomials. We also show that the equation for optical vortices, a two dimentional system, is derived from Kirchhoff equation by using paraxial wave (...) approximation. These Kirchhoff equations satisfy a Poisson bracket relationship in phase space which is identical to the Heisenberg uncertainty relationship. Therefore, we conclude that being classical equations, the Kirchhoff equations, describe both a particle and a wave nature of single particle quantum mechanics in two dimensions. (shrink)

We discuss the meaning and prove the accordance of general relativity, wave mechanics, and the quantization of Einstein's gravitation equations themselves. Firstly, we have the problem of the influence of gravitational fields on the de Broglie waves, which influence is in accordance with Eeinstein's weak principle of equivalence and the limitation of measurements given by Heisenberg's uncertainty relations. Secondly, the quantization of the gravitational fields is a “quantization of geometry.” However, classical and quantum gravitation have the same physical meaning (...) according to limitations of measurements given by Einstein's strong principle of equivalence and the Heisenberg uncertainties for the mechanics of test bodies. (shrink)

It has been suggested that God can act on the world by operating within the limits set by Heisenberg's uncertainty principle (HUP) without violating the laws of nature. This requires nature to be intrinsically indeterministic. However, according to the statistical interpretation the quantum mechanical wavefunction represents the average behavior of an ensemble of similar systems and not that of a single system. The HUP thus refers to a relation between the spreads of possible values of position and momentum (...) and so is consistent with a fully deterministic world. This statistical interpretation of quantum mechanics is supported by reference to actual measurements, resolves the quantum paradoxes, and stimulates further research. If this interpretation is accepted, quantum mechanics is irrelevant to the question of God's action in the world. (shrink)

Despite significant scientific uncertainties and strong public opposition, there appears to be an “iron triangle” of industry, government,and consultants/contractors promoting the siting of the world’s first permanent geological repository for high-level nuclear waste and spent fuel, proposed for Yucca Mountain, Nevada. Arguing that representatives of this iron triangle have ignored important epistemological and ethical difficulties with the proposed facility, I conclude that the business climate surrounding this triangle appears to leave little room for consideration of ethical issues related to public (...) safety, environmental welfare, and citizen consent to risk. If my analysis of the Yucca Mountain case is correct and typical, then some of themost pressing questions of business ethics may concern how to break the iron triangle or, at least, how to expand it into a quadrilateral that includes the public. (shrink)

We explicitly compute, following the method of Weyl, the commutator [Q, P] of the position operatorQ and the momentum operatorP of a particle when the dimension of the space on which they act is finite with a discrete spectrum; and we show that in the limit of a continuous spectrum with the dimension going to infinity this reduces to the usual relation of Heisenberg.

Communication about diagnosis and medical treatment for children suffering from life-threatening illnesses is complex. It is a primary step in involving underage patients and families in care and lays the foundation for obtaining parental permission and patient assent for treatment. In practice child participation in care is often difficult to obtain due to patients' different and sometimes fluctuating preferences, but also parents' protective strategies. Physicians may be susceptible to parental wishes to limit information and feel uncomfortable discussing issues related to (...) uncertainty of cure with patients. A qualitative study in Romanian paediatric oncology units was conducted to explore children's involvement from the perspectives of parents and oncologists. Interviews with participants discussed 18 patient cases. Data were transcribed and thematic analysis was used to interpret and mine patients' involvement during treatment. Different facets of patient participation were identified: restricting, widening and enhancing involvement. A fourth category, unintentional involvement, occurred for all patients due to children's observations during long-term hospitalisations and access to Internet. Uncertainty overarched parental attitudes regarding the extent to which children should be included. Physicians usually complied with parental wishes to limit involvement, but together with parents involved patients at least in a practical way. Adults' protective attitude may backfire, as adolescents' online searches often expose patients to worse-case scenarios. Further research should acknowledge the hazards of restricted diagnosis disclosure and develop clinician tools to support families in communicating with patients. This should be paralleled by physician efforts to elicit patients' needs regarding participation. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Fictions of Discourse: Reading Narrative TheoryCarol S. GouldFictions of Discourse: Reading Narrative Theory, by Patrick O’Neill; x & 188 pp. Toronto: University of Toronto Press, 1994, $35.00 paper.Patrick O’Neill serves up a rich stew of narratology, reader-reception theory, and a postmodern theory of truth. Many narratologists have taken the postmodern turn, while others have pursued a reception-theory route. Either path requires careful navigation, and the combined one even (...) more so. Classical narratology focuses on the textual structure with its network of various narratological relations. Reader-reception theory assigns to the reader a leading role in the creation of the text. O’Neill in various ways challenges or at least reformulates the notions of both text and reader, endorsing as he does a postmodern theory of truth which he terms the “Zeno Principle.” This principle is that “narrative discourse is always potentially subversive of the story it would seem to reconstruct” (p. 7). The Zeno Principle is a version of what he understands to be the Heisenberg Principle, namely that “discourse (including theoretical discourse) at least potentially subverts the story it sets out to narrate, and ultimately itself also” (p. 9). O’Neill contends that his narratological project will support the Zeno Principle. If successful, though, his endeavor will of course meet the usual self-destructive fate of such theories. But its self-annihilation seems not to discourage O’Neill, who finds all theories essentially “ludic.” O’Neill’s undertaking is ambitious; I shall focus on just a few of his moves.First of all, it is no surprise to hear that postmodernism is not new nor even that it has a classical pedigree. But it will probably astound—not to say sadden—the reader to see O’Neill locate its origins in the paradoxes of Zeno—the fifth-century Eleatic, the logician so well known for defending the epistemic primacy of reason, one of the uncontested intellectual progenitors of Plato, who remains the explicit target of Derridean fire. This is not simply a persnickety objection to O’Neill’s terminology, but a reflection on the broad implications he draws from his narratological investigations.Plato, working in the Eleatic (Zenoian) tradition, draws our attention to the perspectival nature of literature and would extend this to all empirical discourse. Any empirical narrative—history, biography, or literature—is in principle illusory because merely perspectival. Plato, true intellectual heir of Zeno, anticipates the narratological enterprise in this respect, while demonstrating [End Page 532] the exclusive epistemic integrity of logical thought. One finds this of course in his Republic, but nowhere are his narratological sympathies more evident than in the Symposium, with its many tiers of narration. He prefigures, then, the modern insight that all narrative is, in Wayne Booth’s terms, rhetoric and in narratological terms, focalized.If we grant with Zeno, Plato, and other friends of rationality that empirical discourse is perspectival or focalized, we can see that narrative must place us in some hypothetical vantage point: from another standpoint, the world looks different and assumes new contours and mood. Once we acknowledge that no one point of view is more privileged than another, our perceptions seem less stable. Lolita, for example, told from the viewpoint of the nymphet herself, would be a different story. Moreover, any narrative must be mediated by narrative perspective, and as O’Neill indicates, the narrative vantage point may not be that of the narrator or implied author. As he puts it, “Voice and vision... [may] derive from separate points of origin” (p. 84).In a sense, then, all empirical discourse is subversive. But does it follow that all theoretical discourse is therefore subversive? O’Neill scrutinizes fictional discourse, and helpfully so for us. But the perspectival nature of literary or empirical narrative hardly suffices to cast doubt on the notion of truth per se. The real Zeno Principle is the Platonic one that however arbitrarily empirical perspective might shift, rational intuition does not. If one wants to challenge that view, one must defend the Protagoras Principle, the true classical articulation of postmodernism. Aristotle, after all, wrestles with this in his Metaphysics rather than in his Poetics.O’Neill... (shrink)