Philosophy of Physical Science

This book discusses the problem of mathematical knowledge, and its broader philosophical ramifications. It argues that the justificatory challenge, the challenge to explain the defeasible justification of our mathematical beliefs, arises insofar as disagreement over axioms bottoms out in disagreement over intuitions. And it argues that the reliability challenge, the challenge to explain their reliability, arises to the extent that we could have easily had different beliefs. The book shows that mathematical facts are not, in general, empirically accessible, contra Quine, (...) and that they cannot be dispensed with, contra Field’s nominalism. However, it argues that they might be so plentiful that our knowledge of them is unmysterious. The book concludes with a complementary ‘pluralism’ about modality, logic and normative theory, highlighting its surprising metaphysical and methodological implications. Metaphysically, pluralism engenders a kind of perspectivalism and indeterminacy. Methodologically, pluralism vindicates Carnap’s pragmatism, transposed to the key of realism. (shrink)

I examine the (mediated) correspondence between Spinoza and Robert Boyle concerning the latter’s account of fluidity and his experiments on reconstitution of niter in the light of the epistemology and doctrine of method contained in the Treatise on the Emendation of the Intellect. I argue that both the Treatise and the correspondence reveal that for Spinoza, the proper method of science is not experimental, and that he accepted a powerful under-determination thesis. I argue that, in contrast to modern versions, Spinoza’s (...) form of naturalism was a highly rationalist and anti-empirical one. I conclude with a brief account of the value of experience and experimentation for Spinoza’s scientific method. (shrink)

Phenomenal color space, which is three-dimensional, contains six unary colors, i.e., colors that are not perceived as being composed of a combination of other colors. These colors are organized into three antipodal pairs which form three orthogonal axes in color space: red–green, yellow–blue, white–black. The three pairs of unary colors divide naturally into two phenomenally distinct groups: an achromatic group and a chromatic group. Here I show that if it is assumed that both the Hilbert space of quantum state vectors (...) and the space of observables acting on this Hilbert space have intrinsic (i.e., privileged) bases, then the Bloch space representation of two-state quantum systems exhibits analogous properties to those of phenomenal color space. This leads me to suggest that color experience is the phenomenal dual aspect of some two-state quantum system in the brain. I then generalize this suggestion and hypothesize that all types of phenomenal experience—not only color—are dual aspects of quantum systems. (shrink)

A non-classical subsystem of orthomodular quantum logic is proposed. This system employs two basic operations: the Sasaki hook as implication and the and-then operation as conjunction. These operations successfully satisfy modus ponens and the deduction theorem. In other words, they form an adjunction in terms of category theory. Two types of semantics are presented for this logic: one algebraic and one physical. The algebraic semantics deals with orthomodular lattices, as in traditional quantum logic. The physical semantics is given as a (...) procedure for deriving a final segment of a series of yes-no experiments. (shrink)

The existence and fundamentality of spacetime has been questioned in quantum gravity where spacetime is frequently described as emerging from a more fundamental non-spatiotemporal ontology. This is supposed to lead to various philosophical issues such as the problem of empirical coherence. Yet those issues assume beforehand that we actually understand and agree on the nature of spacetime. Reviewing popular conceptions of spacetime, we find that there is substantial disagreement on this matter, and little hope of resolving it. However, we argue (...) that this should not trouble us as these issues, which seem to suggest the need for an account of spacetime in quantum gravity, can be addressed without one. (shrink)

Experiments in particle physics have hitherto failed to produce any significant evidence for the many explicit models of physics beyond the Standard Model (BSM) that had been proposed over the past decades. As a result, physicists have increasingly turned to model-independent strategies as tools in searching for a wide range of possible BSM effects. In this paper, we describe the Standard Model Effective Field Theory (SM-EFT) and analyse it in the context of the philosophical discussions about models, theories, and (bottom-up) (...) effective field theories. We find that while the SM-EFT is a quantum field theory, assisting experimentalists in searching for deviations from the SM, in its general form it lacks some of the characteristic features of models. Those features only come into play if put in by hand or prompted by empirical evidence for deviations. Employing different philosophical approaches to models, we argue that the case study suggests not to take a view on models that is overly permissive because it blurs the lines between the different stages of the SM-EFT research strategies and glosses over particle physicists' motivations for undertaking this bottom-up approach in the first place. Looking at EFTs from the perspective of modelling does not require taking a stance on some specific brand of realism or taking sides in the debate between reduction and emergence into which EFTs have recently been embedded. (shrink)

Natural systems are categorized according to their structural and dynamical similarities. A two-dimensional schema is proposed as a kind of "periodic table" of natural systems. Six of eight levels in this schema serve as sources of analogies, two levels are the targets of analogical reasoning. The source domains are the atomic, molecular, macromolecular, micro-organismic, organismic and socio-cultural systems and processes. One of the target domains discussed in the article is the level of subatomic particles. The other target domain, not discussed (...) in the article, could be the level of future supra-national systems. Three types of processes are identified occurring in natural systems: conservation, modification and transformation. Modifications allow a reversible adaptation of a system to environmental influences by changing its internal state. The entirety of all internal states defines the "state space" of the system. Similarities of state spaces between systems of six levels are investigated. A dual-space picture of natural systems can be defined on six levels, the source domains of analogical reasoning. On the subatomic level, space-time is identified as part of the state space of subatomic particles. However, space-time needs a completion by an additional state space in order to obtain a dual-space picture also for subatomic particles. A "basic space" is proposed, so that subatomic particles exist simultaneously in space-time and in basic space. The basic space is assumed to be a circular space, where masses and charges circulate force-free and generate the spin and the magnetic moment of particles. A presumption about the existence of hypothetical matter not detectable in space-time is derived. Such primitive forms of matter could exist in basic space only and represent the dark matter. (shrink)

One of the key episodes of history of modern physics – Paul Dirac’s startling contrivance of the relativistic theory of the electron – is elicited in the context of lucid epistemological model of mature theory change. The peculiar character of Dirac’s synthesis of special relativity and quantum mechanics is revealed by comparison with Einstein’s sophisticated methodology of the General Relativity contrivance. The subtle structure of Dirac’s scientific research program and first and foremost the odd principles that put up its powerful (...) heuristics is scrutinized with special emphasis on the highly controversial tenet of “mathematical beauty.” It is contended that despite the relentless Dirac’s remarks denigrating the controversial role of philosophy one can trace its indirect influence through Arthur Eddington’s and Hermann Weyl’s whimsical mathematical models. Accordingly, the milestones of Dirac’s research programme realization in the distinctive context of the applied epistemological doctrine are indicated. (shrink)

We review the early works which were precursors of the Conceptual Density Functional Theory. Starting from Thomas–Fermi approximation and from the exact formulation of Density Functional Theory by Hohenberg and Kohn’s theorem, we will introduce electronegativity and the theory of hard and soft acids and bases. We will also present a general introduction to the Fukui functions, and their relation with nucleophilicity and electrophilicity, with an emphasis towards the importance of these concepts for chemical reactivity.

El presente artículo tiene por propósito construir una interpretación de La docta ignorancia de Nicolás de Cusa que articula su contexto histórico-cultural con la obra para ofrecer un sentido: la limitación de la razón humana para aprehender una verdad absoluta y las propuestas de una armonía interreligiosa y una reestimación del cosmos como consecuencias. Ello implica (I) reconstruir el horizonte sobre el cual surge y con el cual dialoga Nicolás de Cusa; (II) elaborar una interpretación crítica de La docta ignorancia (...) que muestre su estructura conceptual; y (III) descifrar la manera específica en que la obra de Cusa responde a su horizonte planteándose un sentido. Lo anterior sustenta una interpretación no lineal del texto de Cusa que le representa como crítico radical, no sólo reformador, de cuestiones filosóficas medievales, al limitar los alcances de la ontología y señalar un ámbito metafísico incognoscible. (shrink)

Max Jammer has recently proposed a model of God’s eternity based on the special theory of relativity, offering it as an example of how theologians should take into account what physicists say about the world. I start evaluating this proposal by a quick look at the classic Boethius-Aquinas model of divine eternity. The major objec-tion I advance against Jammer refers to Einstein’s subtle kind of realism. I offer var-ious reasons to show that Einstein’s realism was minimal. Moreover, even this min-imal (...) realism has been undermined by recent experimental work. If Jammer is sug-gesting that theologians should take Einstein’s physics seriously because it de-scribes the world, his argument is unconvincing because it doesn’t address the cru-cial question of Einstein’s realism, which makes all the difference. (shrink)

This summary of the original paradigm of the universal science of complexity starts with the discovered exact origin of the stagnating "end" of conventional, unitary science paradigm and development traditionally presented by its own estimates as the only and the best possible kind of scientific knowledge. Using a transparent generalisation of the exact mathematical formalism of arbitrary interaction process, we show that unitary science approach and description, including its imitations of complexity and chaoticity, correspond to artificial and ultimately strong reduction (...) of the natural plurality of unreduced interaction results called realisations to a single, "average" or "exact", realisation. This severe reduction of the natural world dynamics in unitary science underlies all its unsolvable "mysteries" and "paradoxes", persisting "difficult problems", and finally the modern "end" of the progress of just that, actually very special kind of knowledge, whose irreducible limits lead to the modern deep crisis of the global civilisation development. We show then how the rigorously substantiated restoration of the full richness of real-world dynamics within the intrinsically unified knowledge of the universal science of complexity provides not only the causally complete solution to the old and new problems of unitary science but opens practically unlimited possibilities for the new progress of science and civilisation as a result of this crucial extension, which we call complexity revolution. The unreduced analysis of the universal complexity science shows that at the current critical bifurcation point of development, we have only two incompatible possibilities and emerging tendencies, either the dangerously growing degradation within the dominating unitary science and thinking limits (irrespective of purely empirical technology power becoming even dangerous here) or the new golden age of scientific discoveries and civilisation progress with the qualitatively extended approach and results of unreduced complexity science and the new thinking it implies. (shrink)

Is human free will compatible with the natural laws of the universe? To “compatibilists” who see free actions as emanating from the wants and reasons of human agents, free will looks perfectly plausible. However, “incompatibilists” claim to see the more ultimate sources of human action. The wants and reasons of agents are said to be caused by physical processes which are themselves mere natural results of the previous state of the world and the natural laws which govern it. This paper (...) argues that the incompatibilists make a mistake in appealing to such non-agent sources of human action. They fail to realize that free will may exist at one scale, but not at the scales where they look. When free will is considered from the correctly scaled perspective, it does seem compatible with determinism and natural laws. (shrink)

The main objective of this dissertation is to philosophically assess how the use of informational concepts in the field of classical thermostatistical physics has historically evolved from the late 1940s to the present day. I will first analyze in depth the main notions that form the conceptual basis on which 'informational physics' historically unfolded, encompassing (i) different entropy, probability and information notions, (ii) their multiple interpretative variations, and (iii) the formal, numerical and semantic-interpretative relationships among them. In the following, I (...) will assess the history of informational thermophysics during the second half of the twentieth century. Firstly, I analyse the intellectual factors that gave rise to this current in the late forties (i.e., popularization of Shannon's theory, interest in a naturalized epistemology of science, etc.), then study its consolidation in the Brillouinian and Jaynesian programs, and finally claim how Carnap (1977) and his disciples tried to criticize this tendency within the scientific community. Then, I evaluate how informational physics became a predominant intellectual current in the scientific community in the nineties, made possible by the convergence of Jaynesianism and Brillouinism in proposals such as that of Tribus and McIrvine (1971) or Bekenstein (1973) and the application of algorithmic information theory into the thermophysical domain. As a sign of its radicality at this historical stage, I explore the main proposals to include information as part of our physical reality, such as Wheeler’s (1990), Stonier’s (1990) or Landauer’s (1991), detailing the main philosophical arguments (e.g., Timpson, 2013; Lombardi et al. 2016a) against those inflationary attitudes towards information. Following this historical assessment, I systematically analyze whether the descriptive exploitation of informational concepts has historically contributed to providing us with knowledge of thermophysical reality via (i) explaining thermal processes such as equilibrium approximation, (ii) advantageously predicting thermal phenomena, or (iii) enabling understanding of thermal property such as thermodynamic entropy. I argue that these epistemic shortcomings would make it impossible to draw ontological conclusions in a justified way about the physical nature of information. In conclusion, I will argue that the historical exploitation of informational concepts has not contributed significantly to the epistemic progress of thermophysics. This would lead to characterize informational proposals as 'degenerate science' (à la Lakatos 1978a) regarding classical thermostatistical physics or as theoretically underdeveloped regarding the study of the cognitive dynamics of scientists in this physical domain. (shrink)

Ghost Dirac’s fermions are a manifestation of virtual particles. One fermion is the particle whose companion is the antiparticle. An ensemble of these fermions coupled in pairs represents the Bose-Einstein condensate. This condensate forms the superfluid ether. Due to the Meissner effect inherent in a superfluid medium, the paired fermions are inaccessible for instrument observation. For that reason, the ghost particles can pose the dark matter that, together with the dark energy, can be the fundamental basis of physical reality. In (...) the article, we consider this item through the prism of the Dirac equation stemming from the superfluid quantum ether. The latter is the inherent ubiquitous parent of fermion particle-antiparticle pairs. (shrink)

In this article, after a historical introduction, we give an epistemological point of view of the physics of complex systems. Complex systems are epistemologically interesting because of the fundamental interaction experiment/observer and physicists in their everyday life can experience the paradoxes given by this interaction. Here we describe some of these paradoxes, we make a parallel with quantum mechanics and give a possible philosophical solution, based on notorious physicists/philosopher from the past, transposing and reinterpreting their ideas to modern times. In (...) particular, we analyse the interaction with a complex system such as the living cell, and therefore we also analyse some biophysical implications of complexity. (shrink)

[Accepted for publication in Lakatos's Undone Work: The Practical Turn and the Division of Philosophy of Mathematics and Philosophy of Science, special issue of Kriterion: Journal of Philosophy. Edited by S. Nagler, H. Pilin, and D. Sarikaya.] Lakatos’s analysis of progress and degeneration in the Methodology of Scientific Research Programmes is well-known. Less known, however, are his thoughts on degeneration in Proofs and Refutations. I propose and motivate two new criteria for degeneration based on the discussion in Proofs and Refutations (...) – superfluity and authoritarianism. I show how these criteria augment the account in Methodology of Scientific Research Programmes, providing a generalized Lakatosian account of progress and degeneration. I then apply this generalized account to a key transition point in the history of entropy – the transition to an information-theoretic interpretation of entropy – by assessing Jaynes’s 1957 paper on information theory and statistical mechanics. (shrink)

I argue that, in at least one important sense, the hypothesis that you are a brain in a vat provides better explanations than the explanations provided by standard ways of interpreting our best scientific theories. This puts pressure on anyone who—like me!—wishes to resist taking this radical hypothesis seriously when doing science and scientifically-informed metaphysics. Insofar as our resistance is justified, it can’t be justified simply by claiming that the brain in a vast hypothesis is explanatorily impoverished.

We formalize the notion of isolated objects, and we build a consistent theory to describe their evolution and interaction. We further introduce a notion of indistinguishability of distinct spacetime paths of a unit, for which the evolution of the state variables of the unit is the same, and a generalization of the equivalence principle based on indistinguishability. Under a time reversal condition on the whole set of indistinguishable paths of a unit, we show that the quantization of motion of spinless (...) elementary particles in a general potential field can be derived in this framework, in the limiting case of weak fields and low velocities. Extrapolating this approach to include weak relativistic effects, we explore possible experimental consequences. We conclude by suggesting a primitive ontology for the theory of isolated objects. (shrink)

A widespread view in physics holds that the implementation of time reversal in standard quantum mechanics must be given by an anti-unitary operator. In foundations and philosophy of physics, however, there has been some discussion about the conceptual grounds of this orthodoxy, largely relying on either its obviousness or its mathematical-physical virtues. My aim in this paper is to substantively change the traditional structure of the debate by highlighting the philosophical commitments underlying the orthodoxy. I argue that the persuasive force (...) of the orthodoxy can benefit from a relational metaphysics of time and a by-stipulation view on symmetries. Within such philosophical background, I submit, the orthodoxy of time reversal in standard quantum mechanics could find a fertile terrain to lay the groundwork for a more thorough conceptual justification. (shrink)

From the Hilbert space formalism we note that five simple conditions are satisfied by the orthogonality relation between the states of a quantum system. We argue, by proving a mathematical theorem, that they capture the essentials of this relation. Based on this, we investigate the rationale behind these conditions in the form of six physical hypotheses. Along the way, we reveal an implicit theoretical assumption in theories of physics and prove a theorem which formalizes the idea that the Superposition Principle (...) makes quantum physics different from classical physics. The work follows the paradigm of mathematical foundations of quantum theory, which I will argue by methodological reflection that it exemplifies a formal approach to analysing concepts in theories. (shrink)

There is a deeply entrenched view in philosophy and physics, the closed systems view, according to which isolated systems are conceived of as fundamental. On this view, when a system is under the influence of its environment this is described in terms of a coupling between it and a separate system which taken together are isolated. We argue against this view, and in favor of the alternative open systems view, for which systems interacting with their environment are conceived of as (...) fundamental, and the environment's influence is represented via the dynamical equations that govern the system's evolution. Taking quantum theories of closed and open systems as our case study, and considering three alternative notions of fundamentality: (i) ontic fundamentality, (ii) epistemic fundamentality, and (iii) explanatory fundamentality, we argue that the open systems view is fundamental, and that this has important implications for the philosophy of physics, the philosophy of science, and for metaphysics. (shrink)

Die zentralen Fragestellungen bezüglich der wahren Beschaffenheit des Universums betreffen Folgendes: seinen Ursprung, seine Entstehung, die Existenz und Kontingenz seiner Gesetze, seine Intentionalität, Fassbarkeit, Transzendenz und die Anwendung erster Grundsätze, die diesen Phänomenen zugrunde liegen. Häufig sind die entsprechenden Untersuchungen jedoch belastet von (1) einer „semantischen Transmutation“ von Konzepten und Begriffen zwischen und innerhalb von drei allgemeinen Wissensfeldem - dem physikalischen, philosophischen und theologischen - sowie von (2) den Einschränkungen der anfänglichen Leitgedanken des Betrachters, die oft von skeptischen Annahmen geleitet (...) werden und uns hindern, die Möglichkeiten zu erforschen, die unserer ursprünglichen Einstellung widersprechen. Obwohl ich mich im Laufe meiner Untersuchung mit diesen Problemen beschäftigen werde, ist das Hauptergebnis dieser Studie ein Erklärungsvorschlag zum Phänomen des „Nichts“ und insbesondere seines Verhältnisses zum Universum oder zu Gott. Das Nichts ist eine der Hauptquellen argumentativer Abhandlungen für und gegen die Existenz und Anerkennung Gottes auf Grundlage von Argumenten bezüglich des Ursprungs unseres Universums. Der Erklärungsvorschlag soll als Anleitung zu einer Konstruktion von Gegenargumenten dienen, die vielen der Annahmen widersprechen, die einer Vielzahl an Autoren als „kosmologische“, „logische“, „ontologische“, „physikotheologische“ und ähnliche Beweissysteme für oder gegen die Existenz Gottes dienen. Hauptsächlich werden die Problemstellungen des Ursprungs und der Schöpfung unseres Universums diskutiert. Im Zuge dessen beschäftige ich mich jedoch auch mit den anderen genannten Fragen. Der Hauptfokus liegt auf der Schwierigkeit, das Phänomen des Nichts in kosmologische Auseinandersetzungen über Ursache und Ursprung des Universums einzubeziehen. Dies wird in drei Untersuchungen betrachtet. Die erste Untersuchung konzentriert sich auf die Begriffe des Seins, des Nichtseins, des Absoluten und des Nichts, da diese üblicherweise bei der Erforschung des Universums und des Wesens Gottes verwendet werden. Die Untersuchung entwickelt sich dann in Form eines dialektischen Vergleichs ausgewählter Philosophen weiter, die sich mit dem gewählten Thema befasst haben und endet in einer übergreifenden Synthese, in der ich versuche, die Zusammenhänge zu klären und den Begriff des Einzig-Absoluten für die zweite und dritte Untersuchung zu definieren. (shrink)

We propose a new interpretation of the equation ????=????????² in special relativity by generalizing ideas of ontological emergence to fundamental physics. This allows us to propose that mass, as a property, can be considered to emerge from energy, using a well-known definition of weak ontological emergence. Einstein’s famous equation gains in this way a clearer philosophical interpretation, one that avoids the problems of previous attempts, and is fully consistent with the kinematic properties of special relativity, while yielding fresh insights concerning (...) the nature of mass. (shrink)

Several approaches to developing a theory of quantum gravity suggest that spacetime—as described by general relativity—is not fundamental. Instead, spacetime is supposed to be explained by reference to the relations between more fundamental entities, analogous to `atoms' of spacetime, which themselves are not (fully) spatiotemporal. Such a case may be understood as emergence of \textit{content}: a `hierarchical' case of emergence, where spacetime emerges at a `higher', or less-fundamental, level than its `lower-level' non-spatiotempral basis. But quantum gravity cosmology also presents us (...) with the possibility of emergence of \textit{context}: where spacetime emerges from some `prior' non-spatiotemporal state (replacing the Big Bang), due to particular conditions in the early universe. I present a general conception of emergence which is plausibly able to accommodate both pictures. This is a positive conception that does not rely on a failure of reduction or explanation in any sense (indeed, reduction is a necessary feature of quantum gravity, and is useful in understanding emergence in this case). I also consider the possibility that the distinction between content- and context- based explanations is blurred, or usefully `collapsed', in the case of spacetime emergence. (shrink)

With the example of a Stern–Gerlach measurement on a spin-1/2 atom, we show that a superposition of both paths may be observed compatibly with properties attributed to state collapse—for example, the singleness of outcomes. This is done by inserting a quantum two-state system in each path, capable of responding to the passage of the atom, and thus acting as a virtual detector. We then consider real measurements on the compound system of atomic spin and two ancillae. Nondestructive measurements of a (...) set of compatible joint observables can be performed, one for a superposition and others for collapse properties. A novel perspective is given as to why, within unitary quantum theory, ordinary measurements are blind to such superpositions. Implications for the theory of measurement are discussed. (shrink)

The physical basis of conscious experience is revealed by direct observation and analysis of any conscious experience. Human conscious experience has an invariant structural mode of organization based on the three types of space-time intervals (light-like, time-like, space-like). Sensory input activates the autonomic nervous system, endocrine system, and ascending reticular activating system to produce the awake conscious state. The dorsal and ventral frontoparietal attention networks are activated. Dorsal and ventral cortical functional streams carry “what”, “where”, and “when” information to the (...) medial temporal lobe for the encoding, storage, and recall of conscious experience (episodic memory). Hippocampal place cells and time cells encode events in space and time within spatiotemporal contexts conveyed by entorhinal cortex grid cells and ramping cells. Theta phase precession unifies the encoding of space and time and theta travelling waves ensure that the instantaneous output of the hippocampus consists of topographically-organized segments of space and time, space-time intervals. By parsing spatiotemporal contexts into quantal units of where and when events occur, hippocampal neurons bridge, and thereby organize events, in a conceptual organization of events (conscious experience). Space-time intervals are extracted from the hippocampus by the prefrontal cortex for the cognitive, affective, and motivational aspects of conscious experience. (shrink)

Émilie Du Châtelet’s Foundations of Physics (Institutions de physique, 1740/42) has recently been attracting increasing interest from analytical philosophy in the anglophone world. Du Châtelet’s conception of space and time constitutes a controversial issue. I argue that the current debate underestimates the modal approach and epistemological turn in Du Châtelet’s view on space and time. A historical perspective on Abraham Gotthelf Kästner’s criticism and Jean Henry Samuel Formey’s plagiarism of Du Châtelet underlines the significance of this turning point. Against this (...) background, I revisit Leonhard Euler’s space-time realism and its influence on Immanuel Kant. -/- Les Institutions de physique (1740/1742) d’Émilie Du Châtelet suscitent depuis peu un intérêt croissant dans le monde anglophone, chez les philosophes analytiques. Une question controversée concerne les concepts d’espace et de temps de Du Châtelet. Je soutiens que le débat actuel sous-estime l’approche modale et la tournure épistémologique des considérations de Du Châtelet sur l’espace et le temps. Un regard historique sur la critique d’Abraham Gotthelf Kästner et le plagiat de Du Châtelet par Jean Henry Samuel Formey souligne l’importance de ce tournant. Dans ce contexte, je revisite le réalisme spatio-temporel de Leonhard Euler et son influence sur Emmanuel Kant. (shrink)

Practical quantum computing devices and their applications to AI in particular are presently mostly speculative. Nevertheless, questions about whether this future technology, if achieved, presents any special ethical issues are beginning to take shape. As with any novel technology, one can be reasonably confident that the challenges presented by "quantum AI" will be a mixture of something new and something old. Other commentators (Sevilla & Moreno 2019), have emphasized continuity, arguing that quantum computing does not substantially affect approaches to value (...) alignment methods for AI, although they allow that further questions arise concerning governance and verification of quantum AI applications. In this brief paper, we turn our attention to the problem of identifying as-yet-unknown discontinuities that might result from quantum AI applications. Wise development, introduction, and use of any new technology depends on successfully anticipating new modes of failure for that technology. This requires rigorous efforts to break systems in protected sandboxes, and it must be conducted at all stages of technology design, development, and deployment. Such testing must also be informed by technical expertise but cannot be left solely to experts in the technology because of the history of failures to predict how non-experts will use or adapt to new technologies. This interplay between experts and non-experts may be particularly acute for quantum AI because quantum mechanics is notoriously difficult to understand. (As Richard Feynman quipped, "Anyone who claims to understand quantum mechanics is either lying or crazy.") We will discuss the extent to which the difficulties in understanding the physics underlying quantum computing challenges attempts to anticipate new failure modes that might be introduced in AI applications intended for unsupervised operation in the public sphere. (shrink)

According to theories of quantum gravity, spacetime may be non-fundamental. The implications of this observation are now widely debated in the philosophy of quantum gravity. In this paper we argue that what is often discussed under the umbrella term of `spacetime emergence' in the philosophy of quantum gravity literature in fact consists of a plethora of distinct and even highly different problems. We therefore advocate to cast such debates more specifically in terms of emergent spatiotemporal aspects as is already done (...) in the physics literature. We first show how ambiguous the notion of spacetime is and offer five understandings of what the problem of spacetime emergence may still amount to. We then argue, however, that there are many philosophical problems relating to spacetime emergence and that none of the five understandings picks out a problem that is exceptional among these. Next, we observe that different spatiotemporal aspects are emergent in different quantum gravity approaches whereby speaking of quantum gravity collectively is problematic. Finally, we illustrate how inquiries about spacetime emergence are actually aided by conducting the investigation at the level of specific spatiotemporal aspects. (shrink)

In this work we discuss the widespread use and application of the notion of 'particle' within the standard understanding of quantum mechanics, trying to prove how it is not just an innocent and unproblematic “way of talking”, as it is often claimed, but the expression of an atomist metaphysics that represents rather a way of perceiving and thinking that inadvertently determines our understanding of the mathematical formalism and the experimental content of quantum mechanics. We show how the retention of atomist (...) concepts, especially due to Bohr’s work, appears not only as an epistemological obstacle but furthermore as an efficient factory of false problems and misleading intuitions that have concentrated the attention of researchers for some time. Revisiting again Heisenberg’s matrix mechanics, we discuss if it would be possible to advance beyond the substantialist account of QM going back to the operational-invariance of intensive quantities. (shrink)

The history of astronomy in Byzantium poses great problems of interpretation for Byzantinists and historians of science. This interdisciplinary contribution seeks to understand astronomy in Byzantium from the thirteenth to the fifteenth centuries from the perspective of the Byzantines and to convey it to today's readers. This goal is reached through the study of an astronomical text of that time, the Paradosis or Lessons on the Persian Tables of Astronomy. The present work provides a critical edition of the Paradosis along (...) with a translation and commentary, and discusses the importance of this text in the history of astronomy and the transmission of Islamic astronomy through Byzantium to the West. (shrink)

In 1957, Feyerabend delivered a paper titled “On the quantum‐theory of measurement” at the Colston Research Symposium in Bristol to sketch a completion of von Neumann’s measurement scheme without collapse, using only unitary quantum dynamics and well‐motivated statistical assumptions about macroscopic quantum systems. Feyerabend’s paper has been recognized as an early contribution to quantum measurement, anticipating certain aspects of decoherence. Our paper reassesses the physical and philosophical content of Feyerabend’s contribution, detailing the technical steps as well as its overall philosophical (...) motivations and consequences. Summarizing our results, Feyerabend interpreted collapse as a positivist assumption in quantum mechanics leading to a strict distinction between the uninterpreted formalism of unitary evolution in quantum mechanics and the classically interpreted observational language describing post‐measurement outcomes. Thus, Feyerabend took his the no‐collapse completion of the von Neumann measurement scheme to shows the dispensability of the positivist assumption, leading the way to a realistic interpretation of quantum theory. We note, however, that there are substantial problems with his account of measurement that bring into question its viability as a legitimate foil to the orthodox view. We further argue that his dissatisfaction with the von Neumann measurement scheme is indicative of early views on theoretical pluralism. (shrink)

Although the path-integral formalism is known to be equivalent to conventional quantum mechanics, it is not generally obvious how to implement path-based calculations for multi-qubit entangled states. Whether one takes the formal view of entangled states as entities in a high-dimensional Hilbert space, or the intuitive view of these states as a connection between distant spatial configurations, it may not even be obvious that a path-based calculation can be achieved using only paths in ordinary space and time. Previous work has (...) shown how to do this for certain special states; this paper extends those results to all pure two-qubit states, where each qubit can be measured in an arbitrary basis. Certain three-qubit states are also developed, and path integrals again reproduce the usual correlations. These results should allow for a substantial amount of conventional quantum analysis to be translated over into a path-integral perspective, simplifying certain calculations, and more generally informing research in quantum foundations. (shrink)

In another essay, I’ve argued by means of a formal analogy between the incompleteness of Principia Mathematica-style systems of mathematical logic and the incompleteness of the Standard Models in contemporary physics, that just as the fact of logico-mathematical incompleteness entails the existence of mathematical creativity, so too the fact of physico-mechanical incompleteness entails the existence of natural creativity. Building on that line of thought, in this essay I present a new and empirically-testable strategy for completing quantum mechanics. More precisely, I (...) argue that if we assume that the Standard Models in contemporary physics are incomplete, and if we also assume that all rational human animals are primitive sources of natural creativity via their free agency, then, by means of an appeal to Bohmian mechanics, together with the thesis that all rational human animals are primitive sources of natural creativity via their free agency, we can complete quantum mechanics. (shrink)

Some authors, inspired by the theoretical requirements for the formulation of a quantum theory of gravity, proposed a relational reconstruction of the quantum parameter-time—the time of the unitary evolution, which would make quantum mechanics compatible with relativity. The aim of the present work is to follow the lead of those relational programs by proposing a relational reconstruction of the event-time—which orders the detection of the definite values of the system’s observables. Such a reconstruction will be based on the modal-Hamiltonian interpretation (...) of quantum mechanics, which provides a clear criterion to select which observables acquire a definite value and to specify in what situation they do so. (shrink)

As generally accepted, consciousness or mind and material brain are closely related to each other; but how? Quantum mechanics is a new pathway to understand the hard problem of consciousness and its relation to the brain. Consciousness has specific properties such as unity, irreducibility, non-locality, etc. The completely different features of classical physics hindered the success of scientists to study consciousness. But quantum mechanics with its features gave scientists hope to study consciousness. Several quantum approaches to consciousness have been proposed (...) in recent decades; the most important point about these approaches is that each one has used its own philosophy to determine its viewpoint about the mind’s nature and even its quantum approach. In general, all scientific theories are based on some metaphysical principles which come from the worldview of scientists. In this article four contemporary approaches are discussed: The Eccles-Beck, Stapp, Penrose-Hameroff, and Avicenna-Bohm theories; philosophical and scientific points are highlighted for each of them. Finally, the theory of Top-Down Causation is discussed because we think it can provide a fertile philosophical ground for theories of “mind-brain relation” and “quantum consciousness”. (shrink)

The daseinisation is a mapping from an orthomodular lattice in ordinary quantum theory into a Heyting algebra in topos quantum theory. While distributivity does not always hold in orthomodular lattices, it does in Heyting algebras. We investigate the conditions under which negations and meets are preserved by daseinisation, and the condition that any element in the Heyting algebra transformed through daseinisation corresponds to an element in the original orthomodular lattice. We show that these conditions are equivalent, and that, not only (...) in the case of non-distributive orthomodular lattices but also in the case of Boolean algebras containing more than four elements, the Heyting algebra transformed from the orthomodular lattice through daseinisation will contain an element that does not correspond to any element of the original orthomodular lattice. (shrink)

Occam’s razor – that is, the methodological principle of parsimony that advocates for the hypothesis with the fewest assumptions possible – is largely considered to be a sound epistemological practice. Indeed, it was and remains a valuable tool for scientific and philosophical inquiry. However, we argue that a too rigid application and, in some instances, an almost obsessive mandatory use, has frequently turned away from a reasonable and sound heuristic approach, making of it an unwarranted and ineffective epistemological method. Some (...) words of caution are necessary to clarify how, contrary to common belief, a too strict adherence to such a principle does not guarantee scientific rigor, rather it can obstruct further progress. (shrink)

Many researchers suppose that the forward direction of time as a consequence of increasing entropy. But the human brain, including the human brain with memories, and life in general, are regarded as pockets of decreasing entropy, so as to accommodate the continual addition of memories and abilities. But then humans and life in general should see time going ‘backward’ in some sense. But we do not. Therefore, time is not entropic in origin. -/- The purpose of this note is to (...) bring attention to this idea. (shrink)

It has been argued that quantum mechanics forces us to accept the existence of metaphysical, mind-independent indeterminacy. In this paper we provide an interpretation of the indeterminacy involved in the quantum phenomena in terms of a view that we call Plural Metaphysical Supervaluationism. According to it, quantum indeterminacy is captured in terms of an irreducibly plural relation between the actual world and various misrepresentations of it.