Most physics theories are deterministic, with the notable exception of quantum mechanics which, however, comes plagued by the so-called measurement problem. This state of affairs might well be due to the inability of standard mathematics to “speak” of indeterminism, its inability to present us a worldview in which new information is created as time passes. In such a case, scientific determinism would only be an illusion due to the timeless mathematical language scientists use. To investigate this possibility it is necessary (...) to develop an alternative mathematical language that is both powerful enough to allow scientists to compute predictions and compatible with indeterminism and the passage of time. We suggest that intuitionistic mathematics provides such a language and we illustrate it in simple terms. (shrink)

This book explores whether physics points to a reductive or an emergent structure of the world and proposes a physics-motivated conception of emergence that leaves behind many of the problematic intuitions shaping the philosophical conceptions. Examining several detailed case studies reveals results that point to stability conditions playing a crucial though underappreciated role in the physics of emergence. This contextual emergence has thought-provoking consequences for physics and beyond.

Various esoteric traditions apply different modes of expression for the same metaphysical truths. We may name the two most known esoteric languages as ecstatic and scholastic. Early Daoist use of reverse symbolism as for metaphysical truths and its critical way of viewing formalist understanding of traditional teachings, common virtues and popular beliefs show that it applies an ecstatic language, which, being called shaṭḥ in Sufi terminology, has a detailed literature and technical description in Sufism. This article tries, after a short (...) survey of the concept of shaṭḥ in Sufism, to consider some early Daoist teachings such as wuwei, disparagement of moralism, and disparagement of rationality from an Eastern Sufi point of view regarding shaṭḥ to achieve a clearer insight into the gnostic aspects of the tradition, and to avoid certain possible misunderstanding of the teachings. (shrink)

The various physical aspects of the general relativistic principles of covariance and strong equivalence are discussed, and their mathematical formulations are analyzed. All these aspects are shown to be present in classical general relativity, although no contemporary formulation of canonical or covariant quantum gravity has succeeded to incorporate them all. This has, in part, motivated the recent introduction of a geometro-stochastic framework for quantum general relativity, in which the classical frame bundles that underlie the formulation of parallel transport in classical (...) general relativity are replaced by quantum frame bundles. It is shown that quantum frames can take over the role played by complete sets of observables in conventional quantum theory, so that they can mediate the natural transference of the general covariance and the strong equivalence principles from the classical to the quantum general relativistic regime. This results in a geometrostochastic mode of quantum propagation in general relativistic quantum bundles, which is mathematically implemented by path integration methods based on parallel transport along horizontal lifts of geodesics for the vacuum expectation values of a quantum gravitational field in a quantum spacetime supermanifold. The covariance features of this field are embedded in a quantum gravitational supergroup, which incorporates Poincaré as well as diffeomorphism invariance, and resolves the issue of time in quantum gravity. (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.

We outline Ladyman's 'metaphysical' or 'ontic' form of structuralrealism and defend it against various objections. Cao, in particular, has questioned theview of ontology presupposed by this approach and we argue that by reconceptualisingobjects in structural terms it offers the best hope for the realist in thecontext of modern physics.

Max Weber analyzes the science of the Modern Period. The revolution in physics at the beginning of the 20th century, the creation of quantum mechanics bring to the fore another type of scientific thinking. It is important to note that past knowledge in this case is not refuted, not destroyed, it becomes marginal and enters into communication with its competitor. It is this type of communication with Weber’s philosophy of scientific thinking that helps us to understand its specificity. According to (...) Weber, new knowledge is derived from the previous one, refuting its truth. On this basis, Weber writes that science is different from the art, where the created works retain their significance regardless of the time when they were created. For modern science the predecessor is necessary as another, without which not any communication is possible. Classical science, about which Weber writes, is necessary and continues to function. Satisfying the reemerging needs of society, it can detect previously hidden possibilities and, at the same time, encourage new scientific thinking to strengthen its position.The concept of revolution disappears gradually from the works on science. Instead, sociological concepts such as an innovation center or a technopark that combine simultaneously changes in the logic of knowledge and in the technical equipment of society are becoming popular. Logical and social characteristics of science are combined, the boundary between them becomes less noticeable. If in the era of classics the artificial world surrounding man was built on the basis of the laws of nature, now it is being created on the basis of the laws of thinking. For Weber, this world was silent and dead, this is what classical science testified to. Now the world around us is endowed with artificial intelligence, and we must be able to communicate with it. To understand Weber, it is necessary to establish contact with the world of classics, and not to try to destroy it and to declare it worthless. (shrink)

Many of the experiments that produced the empirical basis of quantum mechanics relied on classical assumptions that contradicted quantum mechanics. Historically this did not cause practical problems, as classical mechanics was used mostly when it did not happen to diverge too much from quantum mechanics in the quantitative sense. That fortunate circumstances, however, did not alleviate the conceptual problems involved in understanding the classical experimental reasoning in quantum-mechanical terms. In general, this type of difficulty can be expected when a coherent (...) scientific tradition undergoes a theoretical upheaval. The problem may be circumvented through the use of phenomenological theory in experimentation during the period of theoretical instability. (shrink)

The physical concept of locality is first analyzed in the special relativistic quantum regime, and compared with that of microcausality and the local commutativity of quantum fields. Its extrapolation to quantum general relativity on quantum bundles over curved spacetime is then described. It is shown that the resulting formulation of quantum-geometric locality based on the concept of local quantum frame incorporating a fundamental length embodies the key geometric and topological aspects of this concept. Taken in conjunction with the strong equivalence (...) principle and the path-integral formulation of quantum propagation, quantum-geometric locality leads in a natural manner to the formulation of quantum-geometric propagation in curved spacetime. Its extrapolation to geometric quantum gravity formulated over quantum spacetime is described and analyzed. (shrink)

In this paper I focus on the impact on structuralism of the quantum treatment of objects in terms of symmetry groups and, in particular, on the question as to how we might eliminate, or better, reconceptualise such objects in structural terms. With regard to the former, both Cassirer and Eddington not only explicitly and famously tied their structuralism to the development of group theory but also drew on the quantum treatment in order to further their structuralist aims and here I (...) sketch the relevant history with an eye on what lessons might be drawn. With regard to the latter, Ladyman has explicitly cited Castellani's work on the group-theoretical constitution of quantum objects and I indicate both how such an approach needs to be understood if it is to mesh with Ladyman's 'ontic' form of structural realism and how it might accommodate permutation symmetry through a consideration of Huggett's recent account. (shrink)

This paper argues that it has been widely assumed by philosophers of science that the cumulative retention of explanatory success is a "sine qua non" for making judgements about the progress or rational preferability of one theory over another. It has also been assumed that it is impossible to make objective, Comparative judgements of the acceptability of rival theories unless all the statements of both theories could be translated into a common language. This paper seeks to show that both these (...) dogmas are mistaken; that progress without cumulativity and comparability without commensurability are both viable. (shrink)

This essay discusses the problem of the two cultures. According to the author the problem arises because science is the source of a new way of conceiving reality and man, different from the mental conception entertained by nonscientific persons. The article suggests methodological guidelines for the philosopher interested in understanding the humanistic mentality of the scientists. The approach proposed is inductive-genetic. The aim is to help the philosopher explore science in its developmental becoming so that he may become aware of (...) the reasons for the characteristic mentality of scientists as regards humanistic issues. The essay concludes with a discussion of the new perspectives disclosed to scientific-humanistic dialogue. (shrink)

This paper argues against the possibility of presenting a consistent version of the Copenhagen Interpretation of Quantum Physics, characterizing its founders' philosophical pronouncements including those on the realism-antirealism issue, as a contingent collection of local, often contradictory, moves in changing theoretical and sociopolitical circumstances. The paper analyzes the fundamental differences of opinion between Bohr and the mathematical physicists, Heisenberg and Born, concerning the foundational doctrine of the "indispensability of classical concepts", and their related disagreements on "quantum reality." The paper concludes (...) with an explanation of how the appearance of consensus was achieved despite fundamental disagreements among the proponents. The paper undermines the adequacy of the notion of a general conceptual framework to describe the philosophical endeavors of working scientists. (shrink)

One of the reasons for relativistic attitudes toward science is the impossibility of justifying scientists’ decisions in the face of alternative theories. According to this paper, an alternative theory can challenge scientific rationality only if the conditions of “methodological shortcomings of scientists” and the “existence of alternative theories” are met at a specific time. A commonly used technique to counter relativism is to try to supplement and equip scientists’ methodologies when confronted with alternative theories. However, this paper focuses on evaluating (...) the possibility of “existence an alternative theory.” To this end, by referring to the different definitions of being alternative, we try to show that only “after the decision” and “the conversion of the scientific community” can a theory be considered justifiably “alternative.” Therefore, the relativistic claim is inconsistent because relativists must first accept the validity of scientists’ decisions to attribute being alternative to a theory. In this work, we provide evidence for our claim using a historical example. We also defend conservatism as a corollary of our discussion. (shrink)

We review the present status of wave-particle duality of single-photon states in the context of some recent experiments. In particular, Bohr's complementarity principle is critically reexamined. It is explained in detail how this principle is confronted in these experiments and how a contradiction with the notion of “mutual exclusiveness” of classical wave and particle pictures emerges.

The issue of the intrinsic nonlocality of quantum mechanics raised by J. S. Bell is examined from the point of view of the recently developed method of geometro-stochastic quantization and its applications to general relativistic quantum theory. This analysis reveals that a distinction should be made between the topological concept of locality used in formulating relativistic causality and a type of geometric locality based on the concept of fiber bundle, which can be used in extending the strong equivalence principle to (...) the quantum domain. Both play an essential role in formulating a notion of geometro-stochastic propagation based on quantum diffusions, which throws new light on the EPR paradox, on the origin of the arrow of time, and on other fundamental issues in quantum cosmology and the theory of measurement. (shrink)

This paper investigates the kind of empiricism combined with an operationalist perspective that, in the first decades of our Century, gave rise to a turning point in theoretical physics and in probability theory. While quantum mechanics was taking shape, the classical (Laplacian) interpretation of probability gave way to two divergent perspectives: frequentism and subjectivism. Frequentism gained wide acceptance among theoretical physicists. Subjectivism, on the other hand, was never held to be a serious candidate for application to physical theories, despite the (...) fact that its philosophical back-ground strongly resembles that underlying quantum mechanics, at least according to the Copenhagen interpretation. The reasons for this are explored. (shrink)

The ArgumentTheorists of science and culture, seeking to explicate the implications of chaos theory, quantum mechanics, or special and general relativity, have drawn parallels to the constellation of intellectual and social phenomena collected in the concept of postmodernism. The notion thereby invoked of a postmodern physics is suggestive and worth exploring. But it remains ungrounded so long as the argument moves in the realm of parallels. Moreover, these discussions prove to be tacitly constrained by a preexisting genre of physicists' own (...) literary production, a genre whose argumentative structures have been taken over implicitly into the subsequent exchanges. Attending critically in this way to the intellectual interests of the discussants — asking who it is that wants to constitute a postmodern physics — should open up more productive ways of framing the debate. (shrink)

Two types of philosophical arguments are employed by the defenders and critics of the Copenhagen Interpretation. One type of argument is a confrontation of an opponent's interpretation with criteria of demarcation and criteria of acceptability. The purpose of such arguments is either to exclude an opponent's interpretation from the range of permissible discourse in quantum physics, or to establish the inadequacy of an opponent's interpretation. A second type of argument is a justification of the value, or utility, of the criteria (...) selected. (shrink)

The objective of this paper is to show that, instead of quantum probabilities, wave packets are physically real. First, Cartwright's recent argument for the reality of quantum probabilities is criticized. Then, the notion of ‘physically real’ is precisely defined and the difference between wave functions and quantum probabilities clarified. Being thus prepared, some strong reasons are discussed for considering the wave packet to be physically real. Finding the reasons inconclusive, I explain how the Aharonov—Bohm effect delivers the final punch. I (...) conclude that wave packets are the quantum objects that underlie the indeterministic quantum processes and have the propensity of displaying probabilistic (or indeterministic) behavior. (shrink)

Einsteinian gravity, of which Newtonian gravity is a part, is fraught with the problem of singularity that has been established as a theorem by Hawking and Penrose. The _hypothesis_ that founds the basis of both Einsteinian and Newtonian theories of gravity is that bodies with unequal magnitudes of masses fall with the same acceleration under the gravity of a source object. Since, the Einstein’s equations is one of the assumptions that underlies the proof of the singularity theorem, therefore, the above (...) hypothesis is implicitly one of the founding pillars of the same. In this work, I demonstrate how one can possibly write a non-singular theory of gravity which manifests that the above mentioned hypothesis is only valid in an approximate sense in the “large distance” scenario. To mention a specific instance, under the gravity of the earth, a 5 kg and a 500 kg fall with accelerations which differ by approximately \(113.148\times 10^{-32}\) meter/sec \(^2\) and the more massive object falls with less acceleration. Further, I demonstrate why the concept of gravitational field is not definable in the “small distance” regime which automatically justifies why the Einstein’s and Newton’s theories fail to provide any “small distance” analysis. In course of writing down this theory, I demonstrate why the continuum hypothesis as spelled out by Goedel, is undecidable. The theory has several aspects which provide the following realizations: (i) Descartes’ self-skepticism concerning exact representation of numbers by drawing lines (ii) Born’s wish of taking into account “natural uncertainty in all observations” while describing “a physical situation” by means of “real numbers” (iii) Klein’s vision of having “a fusion of arithmetic and geometry” where “a point is replaced by a small spot” (iv) Goedel’s assertion about “non-standard analysis, in some version” being “the analysis of the future”. (shrink)

We introduce and study the D-model, which reflects the simplest situation in which one wants to calibrate an observable. We discuss the question of representing the statistics of the D-model in the context of an effect algebra.

(1987). Einstein's brand of verificationism. International Studies in the Philosophy of Science: Vol. 2, No. 1, pp. 33-54. doi: 10.1080/02698598708573301.