Kaum eine Äußerung Einsteins ist so bekannt wie sein Wort, dass Gott nicht würfelt. In ähnlicher Weise, wie Einstein dies unerläutert gelassen hat, ist seine gesamte Position zur Quantenmechanik, auf die es sich bezieht, von Uneindeutigkeiten nicht frei geblieben. Für seine Würfelmetapher ergibt sich ein Spielraum von gegensätzlichen Sichtweisen. Sie lässt sich zum einen mit jüngeren Forschungsresultaten verbinden und weist zum anderen auf rückschrittliche Elemente in Einsteins Denken hin. Ich wende mich zuerst diesen Elementen zu und betrachte dann eine dazu (...) entgegengerichtete Interpretationsvariante, die an den neueren Resultaten anknüpft. (shrink)

Der Verzicht auf absolut gültige Erkenntnis, heute in den Naturwissenschaften beinahe schon selbstverständlich, ist erst jüngeren Datums. Noch im vergangenen Jahrhundert zweifelte die experimentelle Forschung kaum an der vollkommenen Begreifbarkeit der Welt. Diesen Wandel zu erkunden und aufzuzeigen ist Thema der vorliegenden Studie. Der erste Teil präsentiert verschiedene Typen neuzeitlicher und moderner Wissenschaftsauffassungen von Galilei über Newton bis hin zu Kant. Im zweiten Teil werden Entwicklung und Wandel der Wissenschafts- und Naturauffassung bei Helmholtz (1821-1895) erstmals mittels detaillierter Textanalysen einer umfassenden (...) Rekonstruktion unterzogen. Die Relativierung des Wahrheitsanspruchs erlaubt es Helmholtz, seine Naturauffassung trotz der antimechanistischen Kritik innerhalb der Physik, die im letzten Viertel des vergangenen Jahrhunderts laut wurde, als Hypothese aufrechtzuerhalten. Auch gewährt die Studie eine neue Sichtweise des Verhältnisses zwischen Helmholtz und Kant, das in der Vergangenheit kontroverse Beurteilungen erfuhr. (shrink)

Two seemingly contradictory tendencies have accompanied the development of the natural sciences in the past 150 years. On the one hand, the natural sciences have been instrumental in effecting a thoroughgoing transformation of social structures and have made a permanent impact on the conceptual world of human beings. This historical period has, on the other hand, also brought to light the merely hypothetical validity of scientific knowledge. As late as the middle of the 19th century the truth-pathos in the natural (...) sciences was still unbroken. Yet in the succeeding years these claims to certain knowledge underwent a fundamental crisis. For scientists today, of course, the fact that their knowledge can possess only relative validity is a matter of self-evidence. The present analysis investigates the early phase of this fundamental change in the concept of science through an examination of Hermann von Helmholtz's conception of science and his mechanistic interpretation of nature. Helmholtz (1821-1894) was one of the most important natural scientists in Germany. The development of this thoughts offers an impressive but, until now, relatively little considered report from the field of the experimental sciences chronicling the erosion of certainty. (shrink)

Indeterminism of quantum mechanics is considered as an immediate corollary from the theorems about absence of hidden variables in it, and first of all, the Kochen – Specker theorem. The base postulate of quantum mechanics formulated by Niels Bohr that it studies the system of an investigated microscopic quantum entity and the macroscopic apparatus described by the smooth equations of classical mechanics by the readings of the latter implies as a necessary condition of quantum mechanics the absence of hidden (...) variables, and thus, quantum indeterminism. Consequently, the objectivity of quantum mechanics and even its possibility and ability to study its objects as they are by themselves imply quantum indeterminism. The so-called free-will theorems in quantum mechanics elucidate that the “valuable commodity” of free will is not a privilege of the experimenters and human beings, but it is shared by anything in the physical universe once the experimenter is granted to possess free will. The analogical idea, that e.g. an electron might possess free will to “decide” what to do, scandalized Einstein forced him to exclaim (in a letter to Max Born in 2016) that he would be а shoemaker or croupier rather than a physicist if this was true. Anyway, many experiments confirmed the absence of hidden variables and thus quantum indeterminism in virtue of the objectivity and completeness of quantum mechanics. Once quantum mechanics is complete and thus an objective science, one can ask what this would mean in relation to classical physics and its objectivity. In fact, it divides disjunctively what possesses free will from what does not. Properly, all physical objects belong to the latter area according to it, and their “behavior” is necessary and deterministic. All possible decisions, on the contrary, are concentrated in the experimenters (or human beings at all), i.e. in the former domain not intersecting the latter. One may say that the cost of the determinism and unambiguous laws of classical physics, is the indeterminism and free will of the experimenters and researchers (human beings) therefore necessarily being out of the scope and objectivity of classical physics. This is meant as the “deterministic subjectivity of classical physics” opposed to the “indeterminist objectivity of quantum mechanics”. (shrink)

The concept of inertial frame of reference in classical physics and special theory of relativity is analysed. It has been shown that this fundamental concept of physics is not clear enough. A definition of inertial frame of reference is proposed which expresses its key inherent property. The definition is operational and powerful. Many other properties of inertial frames follow from the definition, or it makes them plausible. In particular, the definition shows why physical laws obey space and (...) time symmetries and the principle of relativity, it resolves the problem of clock synchronization and the role of light in it, as well as the problem of the geometry of inertial frames. (shrink)

I explain in what sense the structure of space and time is probably vague or indefinite, a notion I define. This leads to the mathematical representation of location in space and time by a vague interval. From this, a principle of complementary inaccuracy between spatial location and velocity is derived, and its relation to the Uncertainty Principle discussed. In addition, even if the laws of nature are deterministic, the behaviour of systems will be random to some degree. These and other (...) considerations draw classical physics closer to Quantum Mechanics. An arrow of entropy is also derived, given an arrow of time. Lastly, chaos is given an additional, objective meaning. (shrink)

Determinismus und Indeterminismus in der modernen Physik is one of Cassirer’s least known and studied works, despite his own assessment as “one of his most important achievements”. A prominent theme locates quantum mechanics as a yet further step of the tendency within physical theory towards the purely functional theory of the concept and functional characterization of objectivity. In this respect DI can be considered an “update”, like the earlier monograph Zur Einsteinschen Relativitätstheorie: Erkenntnistheoretische Betrachtungen, to Substanzbegriff und Funktionsbegriff, a (...) seminal work considering only classical and pre-relativistic physics. But how does DI cohere with the three volumes of The Philosophy of Symbolic Forms providing a systematic survey of symbolic meanings in diverse aspects of culture, each with its own mode of “objectification” via self-created signs and images? Cassirer’s “phenomenology of cognition” via distinct types of symbolic form locates Dirac’s Principles of Quantum Mechanics as an exemplar within physical theory of purely symbolic thought, a realm of pure relations and their correlated meanings. In particular, Dirac’s characterization of the new notion of “physical state” in quantum mechanics by a “symbolic algebra of observables” severed from particular representations points to a limiting pole of the Bedeutungsfunktion, the third and highest mode of symbolic formation. (shrink)

To make out in what way Einstein’s manifold 1905 ‘annus mirabilis’ writings hang together one has to take into consideration Einstein’s strive for unity evinced in his persistent attempts to reconcile the basic research traditions of classical physics. Light quanta hypothesis and special theory of relativity turn out to be the contours of a more profound design, mere milestones of implementation of maxwellian electrodynamics, statistical mechanics and thermodynamics reconciliation programme. The conception of luminiferous ether was an insurmountable obstacle (...) for Einstein’s statistical thermodynamics in which the leading role was played by the light quanta paper. In his critical stand against the entrenched research traditions of classical physics Einstein was apparently influenced by David Hume and Ernst Mach. However, when related to creative momenta, Einstein’s 1905 unificationist modus operandi was drawn upon Mach’s principle of economy of thought taken in the context of his ‘instinctive knowledge’ doctrine and with promising inclinations of Kantian epistemology presuming the coincidence of both constructing theory and integrating intuition of Principle. (shrink)

We present a new metaphysical framework for physics that is conceptually clear, ontologically parsimonious, and empirically adequate. This framework relies on the notion of self-subsisting structure, that is, a set of fundamental physical elements whose individuation and behavior are described in purely relational terms, without any need for a background spacetime. Although the specification of the fundamental elements of the ontology depends on the particular physical domain considered---and is thus susceptible to scientific progress---, the empirically successful structural features of (...) the framework are preserved through theory change. The kinematics and dynamics of these self-subsisting structures are technically implemented using the theoretical framework of Pure Shape Dynamics, which provides a completely relational physical description of a system in terms of the intrinsic geometry of a suitably defined space called shape space. (shrink)

Information can be considered as the most fundamental, philosophical, physical and mathematical concept originating from the totality by means of physical and mathematical transcendentalism (the counterpart of philosophical transcendentalism). Classical and quantum information, particularly by their units, bit and qubit, correspond and unify the finite and infinite. As classical information is relevant to finite series and sets, as quantum information, to infinite ones. A fundamental joint relativity of the finite and infinite, of the external and internal is to (...) be investigated. The corresponding invariance is able to define physical action and its quantity only on the basis of information and especially: on the relativity of classical and quantum information. The concept of transcendental time, an epoché in relation to the direction of time arrow can be defined. Its correlate is that information invariant to the finite and infinite, therefore unifying both classical and quantum information. (shrink)

Pierre Duhem gilt ais einer der wichtigsten Reprüsentanten der franzosischen Wissenschaftsphilosophie um 1900. Seine Konzeption physikalischer Theorien wird üblicherweise ais moderne Umsetzung des antiken – proto-positivistischen – Programms der „Rettung der Phänomene‟ angesehen. Diese Sicht ist richtig, bedarf aber der Ergänzung, indem der diskursive Kontext der Duhemschen Position berücksichtigt wird. Im vorliegenden Beitrag wird dargelegt, dass Duhems philosophischer Zeitgenosse Abel Rey eine zentrale Rolle in diesem Zusammenhang spielte.

Die Physik nimmt aus zwei Gründen eine herausragende Stellung unter den Wissenschaften ein. Zum einen aufgrund ihrer anerkannten Stellung als Grundlagenwissenschaft, und zum anderen auch durch das Merkmal ihrer offenkundigen Erkenntnissicherheit. Aus beiden Gründen gilt sie gewissermaßen als Paradigma von Wissenschaftlichkeit schlechthin. Mit ihrem Fokus auf das Thema der Erkenntnissicherheit tritt die Wissenschaftstheorie in die Fußstapfen der klassischen Erkenntnistheorie, und darauf gründet sich auch ihr 'richterlicher' Anspruch gegenüber der Physik. Wohingegen die Physik in puncto ihrer Stellung als (...) Grundlagenwissenschaft – sogar beim Thema Erkenntnis, wie der Anspruch des 'Reduktionismus' zeigt – in einem Konkurrenzverhältnis zur Philosophie und zur Erkenntnistheorie steht. Der thematische Fokus auf der Erkenntnissicherheit selbst ist es allerdings, der zur Wurzel eines tiefgreifenden epistemologischen Missverständnisses der Physik wird. Der Grund dafür ist ein zweifacher: Zum einen verstellt die Idee der Erkenntnissicherheit als Kriterium der 'Abgrenzung' zwischen Physik und Metaphysik den Blick auf die viel tieferen heuristischen Unterschiede der beiden Erkenntnisarten. Der zweite, damit zusammenhängende Grund ist, dass die Erkenntnistheorie nicht die Frage nach dem Grund der Erkenntnissicherheit der Physik stellt, sondern die Frage nach der 'Legitimation' der physikalischen Erkenntnis, und zwar, das ist entscheidend, mit Bezug auf die Deutung des Erkenntnisvorgangs. Dadurch fließen wie selbstverständlich alle epistemologischen Annahmen über diesen Vorgang – inklusive der geläufigen deskriptiven Erkenntnisauffassung und ihrer ontologischen Prämissen – in die Deutung der Physik als Wissenschaft ein. Dieses Unterfangen ist folglich nicht nur von Grund auf zweifelhaft, weil es zu seiner Sinnhaftigkeit seinerseits nicht weniger als Erkenntnissicherheit bezüglich (der Deutung) des Erkenntnisvorgangs voraussetzt, und sich dabei auf bloße Überzeugungen stützt, es führt außerdem durch die Projektion des deskriptiven, 'metaphysischen' Erkenntniskonzepts auf die Physik zu unlösbaren epistemologischen Problemen und entsprechenden resignativen Schlussfolgerungen. Der wirkliche Grund der Erkenntnissicherheit der Physik ist auf diese Weise aber gar nicht zu fassen, denn er liegt schlicht in der Eindeutigkeit der Messung. Deren Signifikanz ist aber nur verständlich im Rahmen des originären gegenstandsübergreifenden, dekonstruktiven Erkenntniskonzepts der Physik, dessen Fokus nicht auf den Gegenständen, sondern auf den dynamischen Phänomenen liegt. Der gegenstandsübergreifende, dekonstruktive Erkenntnisansatz bedingt ein völlig anderes, nicht-deskriptives Verständnis der physikalischen Konzepte, und betrifft so auch das Verständnis der Physik als Grundlagenwissenschaft, mit Konsequenzen auch für die Problemstellungen der Biologie und der Epistemologie. (shrink)

It is usual to identify initial conditions of classical dynamical systems with mathematical real numbers. However, almost all real numbers contain an infinite amount of information. I argue that a finite volume of space can’t contain more than a finite amount of information, hence that the mathematical real numbers are not physically relevant. Moreover, a better terminology for the so-called real numbers is “random numbers”, as their series of bits are truly random. I propose an alternative classical mechanics, (...) which is empirically equivalent to classical mechanics, but uses only finite-information numbers. This alternative classical mechanics is non-deterministic, despite the use of deterministic equations, in a way similar to quantum theory. Interestingly, both alternative classical mechanics and quantum theories can be supplemented by additional variables in such a way that the supplemented theory is deterministic. Most physicists straightforwardly supplement classical theory with real numbers to which they attribute physical existence, while most physicists reject Bohmian mechanics as supplemented quantum theory, arguing that Bohmian positions have no physical reality. (shrink)

Nach dem vorherrschenden reduktionistischen Selbstverständnis der Physik sind höherstufige physikalische Theorien als Grenzfall in grundlegenderen Theorien enthalten und daher im Prinzip überflüssig. Höherstufige Theorien werden laut dieser Sichtweise nur aus dem pragmatischen Grund verwendet, für ihren jeweiligen Bereich besser anwendbar zu sein. Es gibt zwar verschiedene Modelle der Reduktion physikalischer Theorien, dieses Selbstverständnis lässt sich aber am besten mit dem Modell der eliminativen Reduktion auf den Begriff bringen, Dieser Beitrag zeigt, dass dieses reduktionistische Verhältnis zwischen klassischer und Quantenmechanik nicht (...) besteht. (shrink)

“Physical premotion” is a concept associated with Baroque Catholic theological debates concerning grace and freedom. In this paper, I present an argument that the entities identified in this debate, physical premotions, are necessary for any classical theist’s account of divine causality. A “classical theist” is a theist who holds both that God is simple, that is, without inhering properties, and that humans and God are both free in the incompatibilist sense. In fact, not only does the acceptance of (...) physical premotions not entail determinism, physical premotions are the only way for classical theists to preserve the aforementioned two commitments. Nevertheless, the theory of premotions cannot help theologians resolve questions of how God causes human free acts without violating their freedom. (shrink)

We think of kinetic energy (KE) as a quantity possessed by rest mass in motion. But somehow electromagnetic (EM) radiation transports KE across space without any rest mass. In addition, a single photon passing through a double slit diffracts into multiple paths in space without affecting its KE. This is hard to explain. Quantum theories that confront the double slit problem do not address these two issues directly. The ontology of radiation KE is examined which leads to some new ideas (...) as to the nature of KE transmission by radiation. (shrink)

The question of what ontological insights can be gained from the knowledge of physics (keyword: ontic structural realism) cannot obviously be completely separated from the view of physics as a science from an epistemological perspective. This is also visible in the debate about 'scientific realism'. This debate makes it clear, in the form of the importance of perception as a criterion for the assertion of existence in relation to the 'theoretical entities' of physics, that epistemology itself is (...) 'ontologically loaded'. This is in the form of the assumption that things in themselves (independent of cognition, in an autonomous way) exist as so-and-so determined ones. This ontological assumption is not only the basis of our (naive) conception of knowledge, but also its indispensable premise, insofar as this conception is a fundamentally passive, 'receptive' one. This is true to the full extent of metaphysics, and to a not much lesser extent of epistemology. The interpretation of knowledge in the sense of 'description' seems to be without alternative. In the philosophy of science, this view is reflected in the emphasis on 'objectivity' as the essence of science, in the belief in 'induction' as the traditional method of science, and (ex negativo) in the problem of the 'theory laden nature of observation'. To these paradigms of epistemology, however, a further aggravating factor is added, namely the criterion of 'subjective certainty' as evidence of 'real' knowledge (only meaningful on the basis of the ontological premise mentioned above). Thus, due to its 'expertise' in matters of knowledge, epistemology becomes the 'prima philosophia'. But what is even more important, the real, holistic cognitive situation is transformed into a linear cognitive relationship, with the consequence of the 'transcendence' of the objects. Now, on closer inspection, however, there is not too much in the expertise of epistemology, because it basically consists only of paradigms which, from the point of view of the holism of the real cognitive situation itself, are nothing more than relatively simplistic interpretations of this situation. However, we do not yet know what another conception of knowledge might look like (which is not surprising given the position of the phenomenon of knowledge in the hierarchy of phenomena according to their complexity). 'Certitude' as a criterion of cognition is thus excluded from the outset, and thus the linear relational model of cognition also appears as what it is, a gross distortion of the real, holistic situation of cognition. The significance of this argumentation with regard to physics is that the linear epistemological model of cognition itself is a major obstacle to an adequate epistemological understanding of physics. This is because it is fixed 'a priori' to an object-related concept of knowledge, and to 'description' as the only mode of ('real') knowledge. The acceptance of the real, holistic epistemological situation is therefore, in my opinion, the condition for an adequate understanding of physics' heuristic access to objects, its transcendental, generalizing epistemological concept, as well as its ontological relevance and dimension. (shrink)

This is a short, nontechnical introduction to features of time in classical and relativistic physics and their representation in the four-dimensional geometry of spacetime. Topics discussed include: the relativity of simultaneity in special and general relativity; the ‘twin paradox’ and differential aging effects in special and general relativity; and time travel in general relativity.

Mit seinem Einfluß auf die Entwicklung der Physiologie, Physik und Geometrie ist Hermann von Helmholtz wie kaum ein anderer Wissenschaftler der zweiten Hälfte des 19. Jahrhunderts repräsentativ für die Naturforschung in Deutschland. Nicht weniger repräsentativ nimmt sich die Entwicklung seiner Wissenschaftsauffassung aus. Während er bis in die späten 60er Jahre einen emphatischen Wahrheitsanspruch der Wissenschaft vertrat, begann er in der nachfolgenden Zeit, die Geltungsbedingungen der wissenschaftlichen Erkenntnis einer Relativierung zu unterwerfen, die zusammenfassend als Hypothetisierung bezeichnet werden kann. Helmholtz entwickelte (...) damit schon im vergangenen Jahrhundert Ansätze einer Wissenschaftsauffassung , die in erstaunlichem Umfang in die Richtung der Moderne weisen. Wie nah er späteren Wissenschaftsauffassungen bereits gekommen ist, kann ein Vergleich mit Karl R. Poppers Forschungslogik illustrieren. In seiner Forschungslogik ist die Hypothetisierung der wissenschaftlichen Erkenntnis entschieden weiter vorangeschritten als in Heimholtz' Wissenschaftstheorie. Was sich bei Helmholtz erst vage abzuzeichnen beginnt, ist bei ihm bereits explizit formuliertes Programm geworden. Obwohl HeImholtz und Popper in keiner direkten wissenschaftstheoretischen Entwicklungslinie stehen und Popper sich in seinen Schriften auch nur sehr selten und beiläufig auf Helmholtz bezieht, finden sich dennoch überraschende und bisher nicht beachtete Berührungspunkte, die insbesondere dann hervortreten, wenn man Heimholtz' Wissenschaftsauffassung vor dem Hintergrund von Poppers Forschungslogik betrachtet. (shrink)

Die von Helmholtz zur Begründung des Energieprinzips in der Einleitung zu seiner Schrift "Über die Erhaltung der Kraft" genannten Bedingungen der physikalischen Forschung teile Ich in zwei Gruppen. Die erste betrifft methodische und begriffliche Voraussetzungen, die zunächst unabhängig von Erfahrung gelten (1); die zweite schränkt diese Geltung ein, indem sie die Reichweite der Methode und die Bestimmung des Ziels der Forschung Erkenntnissen unterordnet, die allein in der Erfahrung gewonnen werden können (2). Nicht den allgemeinen Bedingungen der physikalischen Forschung, sondern speziellen (...) Forschungsergebnissen entnimmt Helmholtz dann die vermeintlichen Hinweise auf die mechanische, d. h. energieerhaltende Struktur der Natur (3). Dieser Argumentation entspricht es. daß er dem physikalischen Naturwissen einen, mit der Zeit abnehmenden hypothetischen Charakter zuweist(4). (shrink)

This book (in German) on "Physics, life and mind" is on the physical foundations of modern biology. The basic features of living systems, reproduction, mutation and metabolism, can be explained in terms of molecular processes involving nucleic acids as genetic material, and proteins as catalysts. The generation of structure and form in each generation results from spatiotemporal gene regulation in conjunction with the de novo formation of spatial order in which interplays of activation and inhibition play a crucial part. (...) Brain functions can be understood in terms of information processing in neural networks. Fundamental limitations of explanations of biological phenomena on the basis of physics are expected for the relation between neural and mental states, which may not be fully decodable by finite procedures. A complete algorithmic theory of the human mind encompassing all, including self-referential, aspects appears to be impossible even in principle, not only in practice. The range and limitations of explanations of life on the basis of physical laws and processes reflect the scope and limits of science in general. In contrast to the notions in circulation in the 19th century, modern science is open at the metatheoretical level to different philosophical, cultural and religious interpretations of man and the universe. -/- . (shrink)

The aim of this paper is to show that the French philosopher and historian of science Abel Rey played a more influential role in the formative phase of the Vienna Circle than hitherto supposed. On the whole, it will be argued that Rey's contribution had political impact. His interpretation of "modern physics" in 1907 in the face of the alleged "bankruptcy of science" should be appreciated as a masterpiece of applied enlightenment thought. As such, it was especially paradigmatic for (...) Philipp Frank's "positivist" defense of the theory of relativity and quantum mechanics against the irrationalist tendencies of the 1920s and 1930s. (shrink)

The nature of time is yet to be fully grasped and finally agreed upon among physicists, philosophers, psychologists and scholars from various disciplines. Present paper takes clue from the known assumptions of time as - movement, change, becoming - and the nature of time will be thoroughly discussed. -/- The real and unreal existences of time will be pointed out and presented. The complex number notation of nature of time will be put forward. Natural scientific systems and various cosmic processes (...) will be identified as constructing physical form of time and the physical existence of time will be designed. -/- The finite and infinite forms of physical time and classical, quantum and cosmic times will be delineated and their mathematical constructions and loci will be narrated. -/- Thus the physics behind time-construction, time creation and time-measurement will be given. -/- Based on these developments the physics of Timelessness will be developed and presented. -/- . (shrink)

The impetus theory of motion states that to be in motion is to have a non-zero velocity. The at-at theory of motion states that to be in motion is to be at different places at different times, which in classical physics is naturally understood as the reduction of velocities to position developments. I first defend the at-at theory against the criticism raised by Arntzenius that it renders determinism impossible. I then develop a novel impetus theory of motion that (...) reduces positions to velocity developments. As this impetus theory of motion is by construction a mirror image of the at-at theory of motion, I claim that the two theories of motion are in fact epistemically on par—despite the unfamiliar metaphysical picture of the world furnished by the impetus version. (shrink)

The role of probability is one of the most contested issues in the interpretation of contemporary physics. In this paper, I’ll be reevaluating some widely held assumptions about where and how probabilities arise. Larry Sklar voices the conventional wisdom about probability in classical physics in a piece in the Stanford Online Encyclopedia of Philosophy, when he writes that “Statistical mechanics was the first foundational physical theory in which probabilistic concepts and probabilistic explanation played a fundamental role.” And (...) the conventional wisdom about quantum probabilities is that they are basic, not reducible to the types of probabilities we see in statistical mechanics. In the first section of this paper, I’ll argue that in fact classical physics was steeped in probability long before statistical mechanics came on the scene, specifically, that an objective measure over phase space is an indispensable component of any informative physical theory. In the next section, I’ll argue that this objective measure is the fundamental form of physical probability and that quantum probabilities can be defined in terms of it. In the last, I’ll raise some questions about the metaphysical status of the fundamental measure. (shrink)

The notions of conservation and relativity lie at the heart of classical mechanics, and were critical to its early development. However, in Newton’s theory of mechanics, these symmetry principles were eclipsed by domain-specific laws. In view of the importance of symmetry principles in elucidating the structure of physical theories, it is natural to ask to what extent conservation and relativity determine the structure of mechanics. In this paper, we address this question by deriving classical mechanics—both nonrelativistic and relativistic—using (...) relativity and conservation as the primary guiding principles. The derivation proceeds in three distinct steps. First, conservation and relativity are used to derive the asymptotically conserved quantities of motion. Second, in order that energy and momentum be continuously conserved, the mechanical system is embedded in a larger energetic framework containing a massless component that is capable of bearing energy (as well as momentum in the relativistic case). Imposition of conservation and relativity then results, in the nonrelativistic case, in the conservation of mass and in the frame-invariance of massless energy; and, in the relativistic case, in the rules for transforming massless energy and momentum between frames. Third, a force framework for handling continuously interacting particles is established, wherein Newton’s second law is derived on the basis of relativity and a staccato model of motion-change. Finally, in light of the derivation, we elucidate the structure of mechanics by classifying the principles and assumptions that have been employed according to their explanatory role, distinguishing between symmetry principles and other types of principles (such as compositional principles) that are needed to build up the theoretical edifice. (shrink)

"Wir mögen an der Natur beobachten, messen, rechnen, wägen und so weiter, wie wir wollen, es ist doch nur unser Maß und Gewicht, wie der Mensch das Maß der Dinge ist." So schrieb Goethe im Jahre 1807. "Die Natur wird uns keine Sonderbehandlung gewähren, nur weil wir uns als 'Krone der Schöpfung' betrachten... Ich fürchte, sie ist nicht eitel genug, um sich an den Menschen als einen Spiegel zu klammern, in dem allein sie ihre eigene Schönheit sehen kann", schreibt der (...) Physiker Hans-Peter Dürr heute. Diesen beiden Stellungnahmen liegen sehr unterschiedliche Vorstellungen vom Verhältnis Mensch - Natur zugrunde. Wie überhaupt die Naturphilosophie von den Vorsokratikern bis in die Gegenwart die unterschiedlichsten Varianten dieser Beziehung durchgespielt hat. Dass der Mensch sich jedoch in einem weit über die alttestamentarische Vorstellungskraft hinausgehenden Maße die Natur "untertan" gemacht und dabei großräumig zerstört hat, steht außer Zweifel. Im Rahmen der ökologischen Krise muss das Verhältnis zur Natur neu überdacht werden. Das vorliegende Lesebuch, das sich auch als Studientext und Diskussionsgrundlage für Schulen und Hochschulen bestens eignet, bietet den Blick in die Geschichte der Naturphilosophie, der dafür unerlässlich ist: Die Schwierigkeiten, die heute im Umgang mit der Natur auftreten, sind vielfach auf immer noch wirksame traditionelle Naturvorstellungen zurückzuführen. Andererseits gibt es einige eigenständige, bisher noch zu wenig berücksichtigte Ansätze, die zu neuen Konzeptionen anregen können. ------------------------------------------------------------- Inhalt: Vorwort; Einführung: Traditionslinien der Naturphilosophie; Heraklit und die Atomisten Leukipp und Demokrit; Platon und Aristoteles; Christliches Naturverstehen im Mittelalter: Aurelius Augustinus, Thomas von Aquin, Jacob Böhme; Naturvorstellungen in der beginnenden Neuzeit: Galileo Galilei, Rene Descartes, Isaac Newton; Kants Naturbegriff; Goethes Naturforschung; Nachkantische Naturphilosophie: Friedrich Wilhelm Joseph Schelling, Georg Wilhelm Friedrich Hegel; Geschichte der Natur und Kritik des Naturalismus: Karl Marx, Charles Darwin, John Stuart Mill; Kritik des Substanzbegriffes, Alfred North Whitehead, Werner Heisenberg, Ilya Prigogine und Isabelle Stengers; Bibliographie. (shrink)

Wigner's quantum-mechanical classification of particle-types in terms of irreducible representations of the Poincaré group has a classical analogue, which we extend in this paper. We study the compactness properties of the resulting phase spaces at fixed energy, and show that in order for a classical massless particle to be physically sensible, its phase space must feature a classical-particle counterpart of electromagnetic gauge invariance. By examining the connection between massless and massive particles in the massless limit, we also (...) derive a classical-particle version of the Higgs mechanism. (shrink)

Quantum mechanics was reformulated as an information theory involving a generalized kind of information, namely quantum information, in the end of the last century. Quantum mechanics is the most fundamental physical theory referring to all claiming to be physical. Any physical entity turns out to be quantum information in the final analysis. A quantum bit is the unit of quantum information, and it is a generalization of the unit of classical information, a bit, as well as the quantum information (...) itself is a generalization of classical information. Classical information refers to finite series or sets while quantum information, to infinite ones. Quantum information as well as classical information is a dimensionless quantity. Quantum information can be considered as a “bridge” between the mathematical and physical. The standard and common scientific epistemology grants the gap between the mathematical models and physical reality. The conception of truth as adequacy is what is able to transfer “over” that gap. One should explain how quantum information being a continuous transition between the physical and mathematical may refer to truth as adequacy and thus to the usual scientific epistemology and methodology. If it is the overall substance of anything claiming to be physical, one can question how different and dimensional physical quantities appear. Quantum information can be discussed as the counterpart of action. Quantum information is what is conserved, action is what is changed in virtue of the fundamental theorems of Emmy Noether (1918). The gap between mathematical models and physical reality, needing truth as adequacy to be overcome, is substituted by the openness of choice. That openness in turn can be interpreted as the openness of the present as a different concept of truth recollecting Heidegger’s one as “unconcealment” (ἀλήθεια). Quantum information as what is conserved can be thought as the conservation of that openness. (shrink)

Contemporary physics, with two Einstein’s theories and with Heisenberg’s principle of indeterminacy are frequently interpreted as a removal of the causality from physics. We argue that this is wrong. There are no indications in physics, either classical or quantum, that physical laws are indeterministic, on the ontological level. On the other hand, both classical and quantum physics are, practically, indeterministic on the epistemic level: there are no means for us to predict the detailed future (...) of the world. Additionally, essentially all physical principles, including the arrow of time and the conservation of energy could be, hypothetically, violated. However, in contrast to Hume’s skepticism, we have no experimental evidence that the causality can be removed or even “hung on” in any case. The text contains some didactical-like issues, as well. (shrink)

The view of nature we adopt in the natural attitude is determined by common sense, without which we could not survive. Classical physics is modelled on this common-sense view of nature, and uses mathematics to formalise our natural understanding of the causes and effects we observe in time and space when we select subsystems of nature for modelling. But in modern physics, we do not go beyond the realm of common sense by augmenting our knowledge of what (...) is going on in nature. Rather, we have measurements that we do not understand, so we know nothing about the ontology of what we measure. We help ourselves by using entities from mathematics, which we fully understand ontologically. But we have no ontology of the reality of modern physics; we have only what we can assert mathematically. In this paper, we describe the ontology of classical and modern physics against this background and show how it relates to the ontology of common sense and of mathematics. (shrink)

We start from previous studies of G.N. Ord and A.S. Deakin showing that both the classical diffusion equation and Schrödinger equation of quantum mechanics have a common stump. Such result is obtained in rigorous terms since it is demonstrated that both diffusion and Schrödinger equations are manifestation of the same mathematical axiomatic set of the Clifford algebra. By using both such ( ) i A S and the i,±1 N algebra, it is evidenced, however, that possibly the two basic (...) equations of the physics cannot be reconciled. 1. (shrink)

For two reasons, physics occupies a preeminent position among the sciences. On the one hand, due to its recognized position as a fundamental science, and on the other hand, due to the characteristic of its obvious certainty of knowledge. For both reasons it is regarded as the paradigm of scientificity par excellence. With its focus on the issue of epistemic certainty, philosophy of science follows in the footsteps of classical epistemology, and this is also the basis of its (...) 'judicial' pretension vis-à-vis physics. Whereas physics is in a strong competitive relationship to philosophy and epistemology with respect to its position as a fundamental science - even on the subject of cognition, as the pretension of 'reductionism' shows. It is the thematic focus on epistemic certainty itself, however, that becomes the root of a profound epistemological misunderstanding of physics. The reason for this is twofold: first, the idea of epistemic certainty as a criterion of 'demarcation' between physics and metaphysics obscures the view of the much deeper heuristic differences between the two kinds of knowledge. The second, related, reason is that epistemology does not ask the question of the reason for the epistemic certainty of physics; instead, it sets itself the task of 'legitimating' physical knowledge, and this, crucially, with reference to the interpretation of the process of cognition. Thus, as a matter of course, all epistemological assumptions about this process – including the common descriptive understanding of knowledge and its ontological premises – flow into the interpretation of physics as a science. Consequently, this undertaking is not only doubtful from the ground up, because it presupposes for its meaningfulness nothing less than certainty of knowledge concerning (the interpretation of) the process of knowledge, thereby relying on mere convictions; moreover, by projecting the descriptive, 'metaphysical' concept of knowledge onto physics, it leads to unsolvable epistemological problems and corresponding resignative conclusions concerning the claim of knowledge of physics. In other words, epistemology itself builds, due to its basic assumptions, a major obstacle for an adequate understanding of physics. Physics' cross-object, deconstructive approach to knowledge implies a completely different, non-descriptive understanding of its concepts, with consequences that extend far beyond itself due to its status as a basic science. (shrink)

According to Descartes, physics rests on metaphysics. Various possible interpretations of this metaphor are considered. I will show that only a weak interpretation can be brought into accordance with other parts of Descartes' philosophy. According to the weak interpretation, physics has to presuppose metaphysics because the latter shows that contrary to widespread contemporary arguments the concepts of mathematical physics are adequate to describe nature. It is argued for this position by comparing the Regulae, where Descartes did not (...) make use of metaphysical arguments, with the Principia, where he did. (shrink)

Comments and replies from the 2021 Eastern APA book symposium on Jill North's Physics, Structure, and Reality.

FROM THE HISTORY OF PHYSICS TO THE DISCOVERY OF THE FOUNDATIONS OF PHYSICS By Antonino Drago, formerly at Naples University “Federico II”, Italy – drago@unina,.it (Size : 391.800 bytes 75,400 words) The book summarizes a half a century author’s work on the foundations of physics. For the forst time is established a level of discourse on theoretical physics which at the same time is philosophical in nature (kinds of infinity, kinds of organization) and formal (kinds of (...) mathematics, kinds of logic). This double side of the two dichotomies assures a deep comprehension of theoretical physics by avoiding both a purely philosophical analysis and a purely formal analysis, each manifestly insufficient for representing all the aspects of theoretical physics. Among the many formulations of a physical theory, e.g. Mechanics, also Mach(1) recognized technical differences only, Instead my suggestion is to consider their differences as revealing the characteristic features of their foundations. No more radical differences may exist than those concerning both their kinds of Mathematics and their kinds of Logic. As a fact, after the 20th Century within each of these sciences there exist two antagonist foundations, within Mathematics either the classical one or the constructive one(2); within Mathematical Logic either the classical logic or the intuitionist one(3). Let us take Mechanics as an instance. Being the choices of the Newton’s formulation respectively the actual infinity of the differential equations relying on the infinitesimals and the classical logic, a formulation based on the alternative choices is Lazare Carnot’s,(4) whose mathematics is no more than algebraic-trigonometric and the logic is the intuitionist one, because this formulation makes use of doubly negated propositions, whose corresponding affirmative propositions are idealistic or false; i.e. in these cases the law of double negation fails, as in intuitionist logic occurs. By considering these two dichotomies as the foundations of the physical theories, each couple of choices upon them fashions one out four models of scientific theory, which are baptized through the authors of their most representative theories: Newtonian, Carnotian, Lagrangian, Descartesian. In correspondence four versions of the principle of inertia are recognized, as suggested by respectively: Descartes. Lazare Carnot, Enriques and Cavalieri.(5) All that suggests that the four models of scientific theory may be graphically represented as a compass orientating our minds amid the so numerous physical theories. By taking these dichotomies as interpretative categories, a new interpretative history of Physics including both classical and modern physics results according to a quadrilinear development. The birth of modern physics is characterized by the two theories - Einstein’s paper on special relativity and Einstein’s first paper on quanta - whose choices are the alternative ones to those of the previously dominant physical theory, Newtonian mechanics: in the latter paper Einstein i) declares the dichotomy on the kinds of mathematics (“Introduction”) and then he chooses the discrete mathematics; ii) by using doubly negated propositions he organizes his theory in an alternative way to the deductive-axiomatic one.(6) Moreover, a new history of Philosophy of knowledge results. Kant’s first two a priori transcendental categories represent the physical interpretation of the two choices out of the four pairs of choices on the two dichotomies, i.e. the choices of the dominant theory of mechanics, Newton’s. Hegel’s dialectic was a misleading attempt of anticipating the subsequent intuitionist logic. The book starts by a comparison of different formulations of thermodynamics in order to recognize the first dichotomy on the kind of organization. In chapter 2 the dichotomy on the kind of infinity is recognized through a comparison of Newrton’s mechanics and Lazare Carnot’s. A quickly history of the other classical physical theories is illustrated in chapter 3; it results a foundational conflict between the last two theories, and hence a conflict between their opposite couples of choices. The two main theories of modern physics, special realtivity and quantum mechanics confirm the foundational role played by the two dichotomies which gives reason for the radical change in the history of theoretical physics. Indeed, the opposition of the two main pairs of choices gives reason of the crisis in theoretical physics in the early 1900s. As a global result, the book represents the first interpretation of the entire history of Physics, both classical and modern; This fact proves that the four models of scientific theories can works as a compass (that of the front cover) suggesting a direction among the many physical theories. This new history of physics leads to re-visit both Koyré’s and Kuhn’s historiographies. Their interpretative categories are interpreted and explained through the two dichotomies so that it is possible to suggest à la Koyré categories based on the alternative choices theories to Newton’s as the suitable categories for interpreting the alternative theories to Newton’s mechanics. All that suggests a new interpretation of the crucial step in the history of Western philosophy of knowledge, i.e. the passage from Leibniz to Kant: Leibniz’s suggestion of the two labyrinths of human minds may be seen as a close anticipation of the two above dichotomies. Kant applied them in order to construct the well-known four cosmological proofs, which however he misinterpreted as leading to contradictions, instead to tow different methods of investigation corresponding to the two different kinds of logic.(7) Bibliography 1. Mach E. (1883), Die Mechanik, Leipzig: Brockhaus, Chap. IV, Sect. III. 2. Bishop E. (1967), Constructive Analysis, New York: Mc Graw-Hill. 3. Heyting A. (1962), Intuitionism. An Introduction, Amsterdam: North-Holland. 4. L. Carnot (1783), Essai on the Machines en général, Defay, Dijion (Enlish translation: Springer, Berlin, 2020). Drago A. (2004), “A new appraisal of old formulations of mechanics”, Am. J. Phys., 72(3), pp. 407-9. 5. Vella M.R. (2007), “Le quattro versioni del principio di inerzia”, in M. Leone et al. (eds.), L’eredità di Fermi, Majorana e altri Temi. Napoli: ESI, pp. 147-151. 6. Drago A. (2014), “The emergence of two options from Einstein°s first paper on Quanta”, in Pisano R., Capecchi D., Lukesova A. (eds.), Physics, Astronomy and Engineering. Critical Problems in the History of Science and Society, Scientia Socialis P., Siauliai, 2013, pp. 227-234. 7. This and all in the above points are illustrated by the book Drago A. (2017), Dalla Storia della Fisica ai Fondamenti della Scienza, Roma: Aracne. (shrink)

This article strives to make novel headway in the debate concerning esports' relationship to sports by focusing on the relationship between esports and physicality. More precisely, the aim of this article is to critically assess the claim that esports fails to be sports because it is never properly “direct” or “immediate” compared to physical sports. To do so, I focus on the account of physicality presented by Jason Holt, who provides a theoretical framework meant to justify the claim that esports (...) is never properly immediate and therefore never sports. I begin by motivating Holt's account of physicality by contrasting it with a more classical way of discussing physicality and sports, namely in terms of physical motor skills. Afterwards, I introduce Holt's account of physicality as immediacy and engage with its assumptions more thoroughly to problematize the claim that esports is fundamentally indirect. Lastly, I argue that the assumption that esports necessarily lacks immediacy is based on a narrow understanding of body and, consequently, of space. In response, I offer a different way of thinking about body and space, focusing on the subjective, bodily engagement of the esports practitioners with their practice, whereby physical space and virtual space can be appreciated as immediately interconnected during performance in a hybrid manner. In providing such an account, the article contributes directly to the broader, growing discussion on the relationship between physicality and virtuality in an increasingly digital world. (shrink)

Do scientific theories limit human knowledge? In other words, are there physical variables hidden by essence forever? We argue for negative answers and illustrate our point on chaotic classical dynamical systems. We emphasize parallels with quantum theory and conclude that the common real numbers are, de facto, the hidden variables of classical physics. Consequently, real numbers should not be considered as ``physically real" and classical mechanics, like quantum physics, is indeterministic.

Symmetries play a major role in physics, in particular since the work by E. Noether and H. Weyl in the first half of last century. Herein, we briefly review their role by recalling how symmetry changes allow to conceptually move from classical to relativistic and quantum physics. We then introduce our ongoing theoretical analysis in biology and show that symmetries play a radically different role in this discipline, when compared to those in current physics. By this (...) comparison, we stress that symmetries must be understood in relation to conservation and stability properties, as represented in the theories. We posit that the dynamics of biological organisms, in their various levels of organization, are not just processes, but permanent (extended, in our terminology) critical transitions and, thus, symmetry changes. Within the limits of a relative structural stability (or interval of viability), variability is at the core of these transitions. (shrink)

The evolution of the human mind through natural selection mandates that our conscious experiences are causally potent in order to leave a tangible impact upon the surrounding physical world. Any attempt to construct a functional theory of the conscious mind within the framework of classical physics, however, inevitably leads to causally impotent conscious experiences in direct contradiction to evolution theory. Here, we derive several rigorous theorems that identify the origin of the latter impasse in the mathematical properties of (...) ordinary differential equations employed in combination with the alleged functional production of the mind by the brain. Then, we demonstrate that a mind--brain theory consistent with causally potent conscious experiences is provided by modern quantum physics, in which the unobservable conscious mind is reductively identified with the quantum state of the brain and the observable brain is constructed by the physical measurement of quantum brain observables. The resulting quantum stochastic dynamics obtained from sequential quantum measurements of the brain is governed by stochastic differential equations, which permit genuine free will exercised through sequential conscious choices of future courses of action. Thus, quantum reductionism provides a solid theoretical foundation for the causal potency of consciousness, free will and cultural transmission. (shrink)

The short paper continues a debate on free will, causation and laws of nature between the author and the German philosopher Peter Rohs (opened in a previous issue of the same journal). Both Keil and Rohs are libertarians, but they disagree on a number of metaphysical issues. Keil maintains that causation is a relation between changes, i.e. time-consuming events, not between instantaneous states. Against Davidson’s “principle of the nomological character of causality”, Keil holds that no exceptionless laws subsuming cause-effect pairs (...) exist. He further claims that the primary task of a philosophical theory of causality is to give truth conditions for uncontroversial instances of singular causal statements. This is an exercise in descriptive metaphysics. Causality’s place in advanced physics, by contrast, remains precarious. The paper closes with the incompatibilist claim that deterministic causality, unlike real-world causality, cannot be reconciled with free will. (shrink)

This paper examines the almost ineradicable misconception of Wittgenstein's alleged antagonism to science as evidenced through some characteristic disparaging comments by world-renowned scientists, notably by Anton Zeilinger. Above all, he criticizes Wittgenstein on the basis of the opening sentence of the Tractatus Logico-Philosophicus, "The world is all that is the case", which he regards as expressing *"the naive world-view"*1 of a *"typical philosopher of classical physics"*. He proposes an extension in agreement with the findings of quantum theory, namely (...) by the clause *"… and all that can be the case"* (Zeilinger 2003, 231). -/- It will become apparent, however, that this amplification is redundant, that Wittgenstein was in tune with modern physics, that a surprising number of his philosophical concepts are in agreement with it, and that various quantum pundits consider them to be relevant. (shrink)

The boundless nature of the natural numbers imposes paradoxically a high formal bound to the use of standard artificial computer programs for solving conceptually challenged problems in number theory. In the context of the new cognitive foundations for mathematics' and physics' program immersed in the setting of artificial mathematical intelligence, we proposed a refined numerical system, called the physical numbers, preserving most of the essential intuitions of the natural numbers. Even more, this new numerical structure additionally possesses the property (...) of being a bounded object allowing us to work with quite similar axioms like the classic Peano axioms, but in a finite environment and with an enriched physical dimension. Finally, we present several enlightening examples and we conclude that the physical numbers provide a natural formal setting for approaching classic problems in number theory from a more hybrid perspective, i.e. with a potential participation in the generation of solutions, not only of working mathematicians but also of more sophisticated artificial interactive (mathematical) intelligent agents (within the context of cognitive-computational metamathematics or artificial mathematical intelligence) and more controlled by physically-inspired principles. Finally, this paper addresses a highly new, bottom-up and paradigm-shifting approach to the foundations of physics: One should refine and improve the conceptual formal setting of the language that we use for understanding physical phenomena (e.g. the mathematical grounding concepts and theories) for being able to understand better more subtle and complex physical phenomena. (shrink)

In the quest and search for a physical theory of everything from the macroscopic large body matter to the microscopic elementary particles, with strange and weird concepts springing from quantum physics discovery, irreconcilable positions and inconvenient facts complicated physics – from Newtonian physics to quantum science, the question is- how do we close the gap? Indeed, there is a scientific and mathematical fireworks when the issue of quantum uncertainties and entanglements cannot be explained with classical (...) class='Hi'>physics. The Copenhagen interpretation is an expression of few wise men on quantum physics that was largely formulated from 1925 to 1927 namely by Niels Bohr and Werner Heisenberg. From this point on, there is a divergence of quantum science into the realms of indeterminacy, complementarity and entanglement which are principles expounded in Yijing, an ancient Chinese knowledge constructed on symbols, with a vintage of at least 3 millennia, with broken and unbroken lines to form stacked 6-line structure called the hexagram. It is premised on probability development of the hexagram in a space-time continuum. The discovery of the quantization of action meant that quantum physics could not convincingly explain the principles of classical physics. This paper will draw the great departure from classical physics into the realm of probabilistic realities. The probabilistic nature and reality interpretation had a significant influence on Bohr’s line of thought. Apparently, Bohr realized that speaking of disturbance seemed to indicate that atomic objects were classical particles with definite inherent kinematic and dynamic properties (Hanson, 1959). Disturbances, energy excitation and entanglements are processual evolutionary phases in Yijing. This paper will explore the similarities in quantum physics and the methodological ways where Yijing is pivoted to interpret observable realities involving interactions which are uncontrollable and probabilistic and forms an inseparable unity due to the entanglement, superposition Transgressing disciplinary boundaries in the discussion of Yijing, originally from the Western Zhou period (1000-750 BC), over a period of warring states and the early imperial period (500-200 BC) which was compiled, transcribed and transformed into a cosmological texts with philosophical commentaries known as the “Ten Wings” and closely associated with Confucius (551- 479 BC) with the Copenhagen Interpretation (1925-1927) by the few wise men including Niel Bohr and Werner Heisensberg would seem like a subversive undertaking. Subversive as the interpretations from Yijing is based on wisdom derived from thousands of years from ancient China to recently discovered quantum concepts. The subversive undertaking does seem to violate the sanctuaries of accepted ways in looking at Yijing principles, classical physics and quantum science because of the fortified boundaries that have been erected between Yijing and the sciences. Subversive as this paper may be, it is an attempt to re-cast an ancient framework where indeterminism, complementarity, non-linearity entanglement, superposition and probability interpretation is seen in today quantum’s realities. (shrink)

Gravitation is interpreted to be an “ontomathematical” force or interaction rather than an only physical one. That approach restores Newton’s original design of universal gravitation in the framework of “The Mathematical Principles of Natural Philosophy”, which allows for Einstein’s special and general relativity to be also reinterpreted ontomathematically. The entanglement theory of quantum gravitation is inherently involved also ontomathematically by virtue of the consideration of the qubit Hilbert space after entanglement as the Fourier counterpart of pseudo-Riemannian space. Gravitation can be (...) also interpreted as purely mathematical or logical “force” or “interaction” as a corollary from its ontomathematical (rather than physical) realization. The ontomathematical approach to gravitation is implicit in general relativity equating it to operators in pseudo-Riemannian space obeying the Einstein field equation and also well-known by the “geometrization of physics”. Quantum mechanics shares the same by the separable complex Hilbert space and defining “physical quantity” by the Hermitian operators on it. One can interpret special Minkowski space involved by special relativity and the qubit Hilbert space of quantum information as Fourier counterparts immediately noticing that general relativity means gravitation as the Fourier counterpart of non-Hermitian operators implying non-unitarity and the violation of energy conservation and thus destroying Pauli’s particle paradigm. Since the Standard model obeys it, this explains the impossibility of “quantum gravitation” in any framework conservatively generalizing the Standard model so that it would include gravitation along with electromagnetic, weak, and strong interactions. Einstein’s geometrization of gravitation can be continued into a purely mathematical theory of it following Euclid’s realization for geometry to be exhaustively built in a deductive and axiomatic way as well as Riemann’s parametrization of all the class of Euclidean and non-Euclidean geometries by “space curvature”, then being generalized to Minkowski space as the operators on pseudo-Riemannian space as the Einstein field equation means gravitation. The transition from mathematical gravitation to logical one can rely on the historical lesson of the pair of Lobachevski’s and Riemann’s approaches now “reversely”, i.e., from the latter to the former. Logical gravitation is linkable to Hegel’s dialectical logic and ontological dialectics abandoning their interpretations as a new zero logic substituting classical propionyl logic. The approach of ontomathematics generalizing that of ontology, traceable even to Aristotle’s reformation of Plato’s doctrine, needs Hegel’s doctrine to be formalized as a first-order logic naturally containing Boolean algebra, isomorphic to both classical propositional logic and set theory being the class of all first-order logics, as a sub-logic along with Peano arithmetic as another sub-logic. The first-order logic at issue is called Hilbert arithmetic and elaborated in detail in other papers. It allows for both self-foundation of mathematics to be internally proved as complete and furthermore, quantum mechanics reinterpreted as quantum information to be included by the qubit Hilbert space interpretable in turn as a dual and physical counterpart of Hilbert arithmetic in a narrow sense, that is, both counterparts constitute Hilbert arithmetic in a wide sense, being mathematical and physical simultaneously and thus overcoming the Cartesian dualism of “body” gapped from “mind” by an abyss. Then, the proper philosophical interpretation of gravitation to be the fundamental ontomathematical force or interaction overcomes the ridiculous belief of the Big Bang wrongly alleged to be a scientific theory. Ontomathematical gravitation suggests an omnipresent and omnitemporal medium of “God’s” creation “ex nihilo” following only the natural necessity of quantum-information conservation particularly and locally manifested as energy conservation. (shrink)

In this paper, we review a general technique for converting the standard Lagrangian description of a classical system into a formulation that puts time on an equal footing with the system's degrees of freedom. We show how the resulting framework anticipates key features of special relativity, including the signature of the Minkowski metric tensor and the special role played by theories that are invariant under a generalized notion of Lorentz transformations. We then use this technique to revisit a classification (...) of classical particle-types that mirrors Wigner's classification of quantum particle-types in terms of irreducible representations of the Poincaré group, including the cases of massive particles, massless particles, and tachyons. Along the way, we see gauge invariance naturally emerge in the context of classical massless particles with nonzero spin, as well as study the massless limit of a massive particle and derive a classical-particle version of the Higgs mechanism. (shrink)

INTERNATIONAL STUDIES IN THE PHILOSOPHY OF SCIENCE Vol. 10, number 2, 1996, pp. 127-140. R.M. Nugayev. Why did the new physics force out the old ? Abstract. The aim of my paper is to demonstrate that special relativity and the early quantum theory were created within the same programme of statistical mechanics, thermodynamics and Maxwellian electrodynamics reconciliation. I’ll try to explain why classical mechanics and classical electrodynamics were “refuted” almost simultaneously or, in other words, why the quantum (...) revolution and the relativistic one both took place at the beginning of the 20th century. I’ll argue that the quantum and relativistic revolutions were simultaneous since they had a common origin – the clash beyween the mature theories of the second half of the 19th century that constituted the “body” of classical physics. The revolution’s most dramatic point was Einstein’s 1905 photon paper that laid the foundations of both special relativity and the old quantum theory. Hence the dialectic of the old theories is crucial for theory change. Later, classical physics was forced out by the joint development of quantum and relativistic subprogrammes. The title of my paper can be reformulated in Bruno Latour’s terms: The Einstein Revolution or Drawing Models Together. -/- . (shrink)

This physics note entails a summary of an extended form of Eccles-Cartesian Interactive Dualism mind-body-multiverse paradigm called Noetic Field Theory: The Quantization of Mind (NFT), distinguished as a paradigm because it is comprehensive and empirically testable. NFT posits not only that the brain is not the seat of awareness but also that neither classical nor quantum mechanics are sufficient to describe mind as the required regime entails the new physics associated with Unified Field, UF Mechanics. This means (...) that the brain is merely a transducer (form of quantum computer) mediating mentation, sensory data and metabolic function. The so-called ‘Hard Problem’ of cognitive science arises as a category error in philosophy of mind, i.e. an incorrect posit of the question “what processes in the brain give rise to awareness” which instead should simply be queried “what processes give rise to awareness”. In the history of science whenever a hard problem has arisen it has later been shown that the underlying principles had not been understood. NFT posits these underlying principles in a comprehensive empirically testable manner solving the ancient mind-body problem in a manner that enables breaking the 1st person 3rd person barrier able to explain Psi-phenomena. The premise is that the mind-body is a naturally occurring form of ‘conscious quantum computer’ (QC), not that the QC is conscious but that it is modelled after those principles. Such QC technologies could lead to routine telepathic effect devices. (shrink)