The notion of fuzzy event is introduced in the theory of measurement in quantum mechanics by indicating in which sense measurements can be considered to yield fuzzy sets. The concept of probability measure on fuzzy events is defined, and its general properties are deduced from the operational meaning assigned to it. It is pointed out that such probabilities can be derived from the formalism of quantum mechanics. Any such probability on a given fuzzy set is related to the frequency of (...) occurrence within that set of points in a random sample, where the sample points are themselves fuzzy sets obtained as outcomes of measurements of, in general, incompatible observables on replicas of the system in the same prepared state. (shrink)

The stochastic phase-space solution of the particle localizability problem in relativistic quantum mechanics is reviewed. It leads to relativistically covariant probability measures that give rise to covariant and conserved probability currents. The resulting particle propagators are used in the formulation of stochastic geometries underlying a concept of quantum spacetime that is operationally based on stochastically extended quantum test particles. The epistemological implications of the intrinsic stochasticity of such quantum spacetime frameworks for microcausality, the EPR paradox, etc., are discussed.

As managed care organizations provide an increasing proportion of citizens' health care, the move toward asking individuals to help control costs by taking more responsibility for their health is likely to intensify. Economic, medical, and legal responses to lifestyle‐induced health care costs raise concerns as well as possibilities for using resources responsibly.

The probability pattern emerging in two-slit experiments is a typical quantum feature whose essential ingredients are examined by translating them into the spin- $ \frac{1}{2} $ formalism. In view of the existence of extensions of quantum theory preserving some classical structure, we discuss how the two-slit probabilities behave under such extensions. We consider a generalization of the standard classical probability theory, to be called operational probability theory, that turns out to host the so called quantum probabilities.

Physical foundations for the Lorentz-Dirac equation of a classical point charge are described. It is shown that, under appropriate conditions, this equation is closely related to the ordinary Lorentz force exerted on a particle whose charge is distributed continuously inside a very small volume. A mathematical analysis of Parrott's assault on the Lorentz-Dirac equation shows that most of his claims are unjustified and the rest do not deny the physical meaning of the equation.

A comparative study is made of the eigenvalue problems of electromagnetics and quantum mechanics, with special reference to the operations of spatial inversionP and time inversionT. Electromagnetics, which permits closer agreement with the dictates of relativity (when the latter is extended toP andT), exhibits characteristic differences with respect to quantum mechanics. An evaluation of these distinctions is presented against the backdrop of a choice between absolute scalar action and charge versus pseudoscalar action and charge.

Nonrelativistic quantum mechanics can be derived from real Markov diffusion processes by extending the concept of probability measure to the complex domain. This appears as the only natural way of introducing formally classical probabilistic concepts into quantum mechanics. To every quantum state there is a corresponding complex Fokker-Planck equation. The particle drift is conditioned by an auxiliary equation which is obtained through stochastic energy conservation; the logarithmic transform of this equation is the Schrödinger equation. To every quantum mechanical operator there (...) is a stochastic process; the replacement of operators by processes leads to all the well-known results of quantum mechanics, using stochastic calculus instead of formal quantum rules. Comparison is made with the classical stochastic approaches and the Feynman path integral formulation. (shrink)

A recent ontological variant of Cramer’s Transactional Interpretation, called “Possibilist Transactional Interpretation” or PTI, is extended to the relativistic domain. The present interpretation clarifies the concept of ‘absorption,’ which plays a crucial role in TI (and in PTI). In particular, in the relativistic domain, coupling amplitudes between fields are interpreted as amplitudes for the generation of confirmation waves (CW) by a potential absorber in response to offer waves (OW), whereas in the nonrelativistic context CW are taken as generated with certainty. (...) It is pointed out that solving the measurement problem requires venturing into the relativistic domain in which emissions and absorptions take place; nonrelativistic quantum mechanics only applies to quanta considered as ‘already in existence’ (i.e., ‘free quanta’), and therefore cannot fully account for the phenomenon of measurement, in which quanta are tied to sources and sinks. (shrink)

How can health plans make fair determinations about when “experimental” (and costly) treatments such as high dose chemotherapy with autologous bone marrow transplantation should be covered despite lack of clear clinical consensus about their benefits? Different models for managing “last chance” therapies evolving in some health plans offer promising examples of how issues of fairness and legitimacy in decisionmaking can be addressed.

The possibilities of a realistic interpretation of quantum mechanics are investigated by means of a statistical analysis of experiments performed on the simplest type of quantum systems carrying spin or helicity. To this end, fundamental experiments, some new, for measuring polarization are reviewed and (re)analyzed. Theunsharp reality of spin is essential in the interpretation of some of these experiments and represents a natural motivation for recent generalizations of quantum mechanics to a theory incorporating effect-valued measures as unsharp observables and generalized (...) systems of imprimitivity. (shrink)

The attempt to derive (rather than assume) the statistical postulate of quantum theory from the many-universes interpretation of Everett and De Witt is analyzed The many-universes interpretation is found to be neither necessary nor sufficient for the task.

Various formalisms for recasting quantum mechanics in the framework of classical mechanics on phase space are reviewed and compared. Recent results in stochastic quantum mechanics are shown to avoid the difficulties encountered by the earlier approach of Wigner, as well as to avoid the well-known incompatibilities of relativity and ordinary quantum theory. Specific mappings among the various formalisms are given.

I present an interpretation of Schopenhauer's metaphysics that moderates between the positions of the advocates and critics of the standard view andthe standard objection. I contend that there are two senses of "thing-initself' in Schopenhauer's philosophy. I agree with the advocates of the standard view that the will is thing-in-itself, but only in a relative sense, i.e., the will is the thing-in-itself relative to other appearances. But I agree with the critics of the standard objection and deny that Schopenhauer's metaphysics (...) is open to the standard objection. (shrink)

Standard pedagogy treats topics in general relativity (GR) in terms of tensor formulations in curved space-time. An alternative approach based on treating the vacuum as a polarizable medium is presented here. The polarizable vacuum (PV) approach to GR, derived from a model by Dicke and related to the “THεμ” formalism used in comparative studies of gravitational theories, provides additional insight into what is meant by a curved metric. While reproducing the results predicted by GR for standard (weak-field) astrophysical conditions, for (...) strong fields a divergence of predictions in the two formalisms (GR vs. PV) provides fertile ground for both laboratory and astrophysical tests to compare the two approaches. (shrink)

Working in stochastic spin space and using POV measures as in the Davies and Lewis measurement scheme, we construct a formalism to describe the simultaneous measurement of incompatible spin components. The methods are illustrated with a new analysis of the Stern-Gerlach experiment, and with a discussion of spin dynamics in stochastic spin space. We also present a new short proof of a theorem on representations of spin-1/2 systems, find a joint spectral family for (noncommuting) spin components, and indicate the connection (...) of our result with the Riesz extension theorem. (shrink)

Drawing heavily on Wittgenstein, Winch’s The Idea of a Social Science advanced a forceful and still valuable critique of positivist/empiricist conceptions of social science. In its more self-confident assertions concerning the nature of philosophy and society, however, Winch failed to recognize Wittgenstein’s acknowledgement of and appreciation for the indeterminacy and unsettled character of social and moral life.

It is shown by means of general principles and specific examples that, contrary to a long-standing misconception, the modern mathematical physics of compressible fluid dynamics provides a generally consistent and efficient language for describing many seemingly fundamental physical phenomena. It is shown to be appropriate for describing electric and gravitational force fields, the quantized structure of charged elementary particles, the speed of light propagation, relativistic phenomena, the inertia of matter, the expansion of the universe, and the physical nature of time. (...) New avenues and opportunities for fundamental theoretical research are thereby illuminated. (shrink)

Generalizing the work of Einstein and Mayer, it is assumed that at each point of space-time there exists an N-dimensional linear vector space with N≥5. This space is decomposed into a four-dimensional tangent space and an (N - 4)-dimensional internal space. On the basis of geometric considerations, one arrives at a number of fields, the field equations being derived from a variational principle. Among the fields obtained there are the electromagnetic field, Yang-Mills gauge fields, and fields that can be interpreted (...) as describing matter. As a simple example, the case N=6 is considered. (shrink)

The internal paradoxes in the quantum measurement scheme related to violation of conservation laws, changes in entropy, absence of a dynamic description of collapse, Wigner's friend, as well as the paradox of violation of causality in the EPR experiment are shown to be partially circumvented in the measurement scheme of stochastic quantum mechanics.

This paper presents the results of optical interferometry experiments in which the phase of photons in one arm of a Mach-Zehnder interferometer is modified by applying a transverse constriction. An equivalent quantum interferometry experiment using neutron de Broglie waves is discussed in which the observed phase shift is in the spirit of the force-free phase shift of the Aharonov-Bohm effects. In the optical experiments the experimental results are in excellent agreement with predictions.

Historically, society has not had a robust, institutionalized ethic for how animals should be treated. Before the Animal Welfare Act, the only laws constraining animal use in society were the anticruelty laws forbidding sadistic, deviant, purposeless, deliberate, unnecessary infliction of pain and suffering on animals, or outrageous neglect. These laws, both by statute and by judicial interpretation, did not apply to socially accepted animal uses such as research or agriculture. Because the overwhelming use of animals in society was in agriculture, (...) aimed at providing food, fiber, locomotion, and power, and because the key to agricultural success was having healthy animals, good husbandry and good care were enforced by the most powerful sanction, self‐interest; the anticruelty laws were only there for society to manage sadists and psychopaths unmoved by self‐interest. But with the emergence of new kinds of “normal” animal use—such as intensive agriculture and animal research, both of which caused animal pain and suffering that did not fall under the anticruelty ethic—society was forced to create a new ethic for animals that went “beyond cruelty.” The Animal Welfare Act was a start, but it did not address all of the ethical concerns that society has had about the treatment of animals. As evidence of the need for a new ethic for animals, thousands of bills pertaining to animal welfare have been promulgated across the United States in the last decade. The new ethic for animals essentially applies much of our social ethic for humans, mutatis mutandis, to the treatment of animals and embodies the desired protections in the legal system. (shrink)

Mach's principle is discussed as a fundamental statement on kinematics, and an apparent contradiction is identified in the Lorentz-Minkowski form of the inertial metric. To resolve the incompatibility, length is redefined so that the speed of light is a field-dependent variable, although still constant for all inertial observers at a point in space-time. Gravitational theories with variableG are considered, and it is shown that a redefinition of length and time results in constantG and variablec.

A simple geometry utilizing a laser-excited atomic beam as light source, and a nearby oscillating mirror, would permit the observation of a two-channel optical interference effect involving photons which can be localized predominantly in one channel by coincidence observations of the recoiling source atom. A sacrifice of the optimum conditions for photon interference is necessary even when photon localization in one channel is accomplished by an observation of the recoil atom. This necessity arises because the width of the slit defining (...) the atomic beam, and with it the important optical source dimension, must be comparable to the optical wavelength to obtain the small uncertainty in initial total momentum needed for significant localization. Quantum mechanical calculations of the coincidence intensity and singles intensity as a function of mirror position are made for a source width of five quarter wavelengths and are compared to a classical optics calculation of the singles intensity. The coincidence intensity calculation, as expected, predicts a smaller interference effect than classical optics due to the photon localization. The singles intensity calculation also predicts the same reduction in the classical interference effect, as a consequence of the orthoganality of the final atom states. (shrink)