Results for 'Probabilisitic version of quantum theory'

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  1. Quantum propensiton theory: A testable resolution of the wave/particle dilemma.Nicholas Maxwell - 1988 - British Journal for the Philosophy of Science 39 (1):1-50.
    In this paper I put forward a new micro realistic, fundamentally probabilistic, propensiton version of quantum theory. According to this theory, the entities of the quantum domain - electrons, photons, atoms - are neither particles nor fields, but a new kind of fundamentally probabilistic entity, the propensiton - entities which interact with one another probabilistically. This version of quantum theory leaves the Schroedinger equation unchanged, but reinterprets it to specify how propensitons evolve (...)
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  2. Towards a Micro Realistic Version of Quantum Mechanics, Part I.Nicholas Maxwell - 1976 - Foundations of Physics 6 (3):275-292.
    This paper investigates the possibiity of developing a fully micro realistic version of elementary quantum mechanics. I argue that it is highly desirable to develop such a version of quantum mechanics, and that the failure of all current versions and interpretations of quantum mechanics to constitute micro realistic theories is at the root of many of the interpretative problems associated with quantum mechanics, in particular the problem of measurement. I put forward a propensity micro (...)
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  3. An Intrinsic Theory of Quantum Mechanics: Progress in Field's Nominalistic Program, Part I.Eddy Keming Chen - manuscript
    In this paper, I introduce an intrinsic account of the quantum state. This account contains three desirable features that the standard platonistic account lacks: (1) it does not refer to any abstract mathematical objects such as complex numbers, (2) it is independent of the usual arbitrary conventions in the wave function representation, and (3) it explains why the quantum state has its amplitude and phase degrees of freedom. -/- Consequently, this account extends Hartry Field’s program outlined in Science (...)
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  4. Instead of Particles and Fields: A Micro Realistic Quantum "Smearon" Theory.Nicholas Maxwell - 1982 - Foundatioins of Physics 12 (6):607-631.
    A fully micro realistic, propensity version of quantum theory is proposed, according to which fundamental physical entities - neither particles nor fields - have physical characteristics which determine probabilistically how they interact with one another . The version of quantum "smearon" theory proposed here does not modify the equations of orthodox quantum theory: rather, it gives a radically new interpretation to these equations. It is argued that there are strong general reasons for (...)
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  5. About Fuzzy time-Particle interpretation of Quantum Mechanics (it is not an innocent one!) version one.Farzad Didehvar - manuscript
    The major point in [1] chapter 2 is the following claim: “Any formalized system for the Theory of Computation based on Classical Logic and Turing Model of Computation leads us to a contradiction.” So, in the case we wish to save Classical Logic we should change our Computational Model. As we see in chapter two, the mentioned contradiction is about and around the concept of time, as it is in the contradiction of modified version of paradox. It is (...)
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  6. The criterion for time symmetry of probabilistic theories and the reversibility of quantum mechanics.Andrew Thomas Holster - 2003 - New Journal of Physics 5 (130).
    Physicists routinely claim that the fundamental laws of physics are 'time symmetric' or 'time reversal invariant' or 'reversible'. In particular, it is claimed that the theory of quantum mechanics is time symmetric. But it is shown in this paper that the orthodox analysis suffers from a fatal conceptual error, because the logical criterion for judging the time symmetry of probabilistic theories has been incorrectly formulated. The correct criterion requires symmetry between future-directed laws and past-directed laws. This criterion is (...)
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  7. Is the quantum world composed of propensitons?Nicholas Maxwell - 2010 - In Mauricio Suárez (ed.), Probabilities, Causes and Propensities in Physics. New York: Springer. pp. 221-243.
    In this paper I outline my propensiton version of quantum theory (PQT). PQT is a fully micro-realistic version of quantum theory that provides us with a very natural possible solution to the fundamental wave/particle problem, and is free of the severe defects of orthodox quantum theory (OQT) as a result. PQT makes sense of the quantum world. PQT recovers all the empirical success of OQT and is, furthermore, empirically testable (although not (...)
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  8. Conservation of information and the foundations of quantum mechanics.Giulio Chiribella & Carlo Maria Scandolo - 2015 - EPJ Web of Conferences 95:03003.
    We review a recent approach to the foundations of quantum mechanics inspired by quantum information theory. The approach is based on a general framework, which allows one to address a large class of physical theories which share basic information-theoretic features. We first illustrate two very primitive features, expressed by the axioms of causality and purity-preservation, which are satisfied by both classical and quantum theory. We then discuss the axiom of purification, which expresses a strong (...) of the Conservation of Information and captures the core of a vast number of protocols in quantum information. Purification is a highly non-classical feature and leads directly to the emergence of entanglement at the purely conceptual level, without any reference to the superposition principle. Supplemented by a few additional requirements, satisfied by classical and quantum theory, it provides a complete axiomatic characterization of quantum theory for finite dimensional systems. (shrink)
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  9. “Fuzzy time”, a Solution of Unexpected Hanging Paradox (a Fuzzy interpretation of Quantum Mechanics).Farzad Didehvar - manuscript
    Although Fuzzy logic and Fuzzy Mathematics is a widespread subject and there is a vast literature about it, yet the use of Fuzzy issues like Fuzzy sets and Fuzzy numbers was relatively rare in time concept. This could be seen in the Fuzzy time series. In addition, some attempts are done in fuzzing Turing Machines but seemingly there is no need to fuzzy time. Throughout this article, we try to change this picture and show why it is helpful to consider (...)
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  10. Can A Quantum Field Theory Ontology Help Resolve the Problem of Consciousness?Anand Rangarajan - 2019 - In Siddheshwar Rameshwar Bhatt (ed.), Quantum Reality and Theory of Śūnya. Springer. pp. 13-26.
    The hard problem of consciousness arises in most incarnations of present day physicalism. Why should certain physical processes necessarily be accompanied by experience? One possible response is that physicalism itself should be modified in order to accommodate experience: But, modified how? In the present work, we investigate whether an ontology derived from quantum field theory can help resolve the hard problem. We begin with the assumption that experience cannot exist without being accompanied by a subject of experience (SoE). (...)
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  11. Three Approaches to the Issue of Quantum Reality and the Second Quantum Revolution.Vladislav E. Terekhovich - 2019 - Epistemology and Philosophy of Science 56 (1):169-184.
    The framework of a simple opposition realism – anti-realism is not enough to analyze the views on the reality of unobservable objects of quantum theory. First, it is necessary to distinguish between realism in relation to the theory and realism in relation to the theory’s objects. Secondly, realism in relation to classical objects can be combined, both with realism and with anti-realism in relation to quantum objects. Third, the concept of “existence” and “to exist objectively” (...)
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  12. An Investigation on the Basic Conceptual Foundations of Quantum Mechanics by Using the Clifford Algebra.Elio Conte - 2011 - Advanced Studies in Theoretical Physics 5 (11):485-544.
    We review our approach to quantum mechanics adding also some new interesting results. We start by giving proof of two important theorems on the existence of the A(Si) and i,±1 N Clifford algebras. This last algebra gives proof of the von Neumann basic postulates on the quantum measurement explaining thus in an algebraic manner the wave function collapse postulated in standard quantum theory. In this manner we reach the objective to expose a self-consistent version of (...)
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    Quantum Theory, Objectification and Some Memories of Giovanni Morchio.Luca Sciortino - 2023 - In Alessandro Michelangeli & Andrea Cintio (eds.), Trails in Modern Theoretical and Mathematical Physics. Springer. pp. 301-310.
    In this contribution I will retrace the main stages of my research on the objectification problem in quantum mechanics by highlighting some personal memories of my supervisor, the theoretical physicist Giovanni Morchio. The central aim of my MSc thesis was to ask whether the hypothesis of objectification, which is currently added to the formalism, is not, at least in one case, deducible from it and in particular from the dynamics of the temporal evolution. The case study we were looking (...)
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  14. Could Inelastic Interactions Induce Quantum Probabilistic Transitions?Nicholas Maxwell - 2017 - In Shan Gao (ed.), Collapse of the Wave Function. Cambridge: Cambridge University Press. pp. 257-273.
    What are quantum entities? Is the quantum domain deterministic or probabilistic? Orthodox quantum theory (OQT) fails to answer these two fundamental questions. As a result of failing to answer the first question, OQT is very seriously defective: it is imprecise, ambiguous, ad hoc, non-explanatory, inapplicable to the early universe, inapplicable to the cosmos as a whole, and such that it is inherently incapable of being unified with general relativity. It is argued that probabilism provides a very (...)
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  15. Particle Creation as the Quantum Condition for Probabilistic Events to Occur.Nicholas Maxwell - 1994 - Physics Letters A 187 (2 May 1994):351-355.
    A new version of quantum theory is proposed, according to which probabilistic events occur whenever new statioinary or bound states are created as a result of inelastic collisions. The new theory recovers the experimental success of orthodox quantum theory, but differs form the orthodox theory for as yet unperformed experiments.
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  16. Quantum Foundations of Free Will.Logan Carter - manuscript
    This paper is intended to persuade an uncommitted audience that free will is illusory. I examine free will through the lens of three interpretations of quantum theory: dynamical collapse theories, hidden variable theories, and many-worlds theories. Dynamical collapse theories, hereon called collapse theories, are the primary focus of this work since they are the most widely accepted in the current philosophy of physics climate. The core postulations and mechanics of the collapse theories are articulated. Accompanying these postulations are (...)
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  17. Towards a Micro Realistic Version of Quantum Mechanics, Part II.Nicholas Maxwell - 1976 - Foundations of Physics 6 (6):661-676.
    In this paper, possible objections to the propensity microrealistic version of quantum mechanics proposed in Part I are answered. This version of quantum mechanics is compared with the statistical, particle microrealistic viewpoint, and a crucial experiment is proposed designed to distinguish between these to microrealistic versions of quantum mechanics.
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  18. The concept of probability in physics: an analytic version of von Mises’ interpretation.Louis Vervoort - manuscript
    In the following we will investigate whether von Mises’ frequency interpretation of probability can be modified to make it philosophically acceptable. We will reject certain elements of von Mises’ theory, but retain others. In the interpretation we propose we do not use von Mises’ often criticized ‘infinite collectives’ but we retain two essential claims of his interpretation, stating that probability can only be defined for events that can be repeated in similar conditions, and that exhibit frequency stabilization. The central (...)
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  19. Can quantum analogies help us to understand the process of thought? [2nd ed.].Paavo Pylkkanen - 2014 - Mind and Matter 12 (1):61-91.
    A number of researchers today make an appeal to quantum physics when trying to develop a satisfactory account of the mind, an appeal still felt to be controversial by many. Often these "quantum approaches" try to explain some well-known features of conscious experience (or mental processes more generally), thus using quantum physics to enrich the explanatory framework or explanans used in consciousness studies and cognitive science. This paper considers the less studied question of whether quantum physical (...)
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  20. The Minimal Modal Interpretation of Quantum Theory.Jacob Barandes & David Kagan - manuscript
    We introduce a realist, unextravagant interpretation of quantum theory that builds on the existing physical structure of the theory and allows experiments to have definite outcomes but leaves the theory’s basic dynamical content essentially intact. Much as classical systems have specific states that evolve along definite trajectories through configuration spaces, the traditional formulation of quantum theory permits assuming that closed quantum systems have specific states that evolve unitarily along definite trajectories through Hilbert spaces, (...)
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  21. A compatibilist version of the theory of agent causation.Ned Markosian - 1999 - Pacific Philosophical Quarterly 80 (3):257-277.
    The problem of freedom and determinism has vexed philosophers for several millennia, and continues to be a topic of lively debate today. One of the proposed solutions to the problem that has received a great deal of attention is the Theory of Agent Causation. While the theory has enjoyed its share of advocates, and perhaps more than its share of critics, the theory’s advocates and critics have always agreed on one thing: the Theory of Agent Causation (...)
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  22. A new interpretation of quantum theory, based on a bundle-theoretic view of objective idealism.Martin Korth - manuscript
    After about a century since the first attempts by Bohr, the interpretation of quantum theory is still a field with many open questions.1 In this article a new interpretation of quantum theory is suggested, motivated by philosophical considerations. Based on the findings that the ’weirdness’ of quantum theory can be understood to derive from a vanishing distinguishability of indiscernible particles, and the observation that a similar vanishing distinguishability is found for bundle theories in philosophical (...)
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  23. Quantum-information conservation. The problem about “hidden variables”, or the “conservation of energy conservation” in quantum mechanics: A historical lesson for future discoveries.Vasil Penchev - 2020 - Energy Engineering (Energy) eJournal (Elsevier: SSRN) 3 (78):1-27.
    The explicit history of the “hidden variables” problem is well-known and established. The main events of its chronology are traced. An implicit context of that history is suggested. It links the problem with the “conservation of energy conservation” in quantum mechanics. Bohr, Kramers, and Slaters (1924) admitted its violation being due to the “fourth Heisenberg uncertainty”, that of energy in relation to time. Wolfgang Pauli rejected the conjecture and even forecast the existence of a new and unknown then elementary (...)
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  24. Against ‘Interpretation’: Quantum Mechanics Beyond Syntax and Semantics.Raoni Wohnrath Arroyo & Gilson Olegario da Silva - 2022 - Axiomathes 32 (6):1243-1279.
    The question “what is an interpretation?” is often intertwined with the perhaps even harder question “what is a scientific theory?”. Given this proximity, we try to clarify the first question to acquire some ground for the latter. The quarrel between the syntactic and semantic conceptions of scientific theories occupied a large part of the scenario of the philosophy of science in the 20th century. For many authors, one of the two currents needed to be victorious. We endorse that such (...)
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  25. Color is the phenomenal dual aspect of two-state quantum systems in a mixed state (obsolete version).Tal Hendel - manuscript
    I show that the mathematical description of opponent-colors theory is identical to the mathematical description of two-state quantum systems in a mixed state. Following the principles of dual-aspect theory of phenomenal consciousness, which predicts an exact correspondence between a system’s phenomenal states and the objective states of its underlying physical substrate, I suggest that color sensations are phenomenal dual aspects of two-state quantum systems in a mixed state. Since nothing in this hypothesis suggests that what brings (...)
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  26. Does probabilism solve the great quantum mystery?Nicholas Maxwell - 2010 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 19 (3):321-336.
    I put forward a micro realistic, probabilistic version of quantum theory, which specifies the precise nature of quantum entities thus solving the quantum wave/particle dilemma, and which both reproduces the empirical success of orthodox quantum theory, and yields predictions that differ from orthodox quantum theory for as yet unperformed experiments.
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  27. Uses of a quantum master inequality.Gordon N. Fleming - unknown
    An inequality in quantum mechanics, which does not appear to be well known, is derived by elementary means and shown to be quite useful. The inequality applies to 'all' operators and 'all' pairs of quantum states, including mixed states. It generalizes the rule of the orthogonality of eigenvectors for distinct eigenvalues and is shown to imply all the Robertson generalized uncertainty relations. It severely constrains the difference between probabilities obtained from 'close' quantum states and the different responses (...)
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  28. Time's Arrow in a Quantum Universe: On the Status of Statistical Mechanical Probabilities.Eddy Keming Chen - 2020 - In Valia Allori (ed.), Statistical Mechanics and Scientific Explanation: Determinism, Indeterminism and Laws of Nature. World Scientific. pp. 479–515.
    In a quantum universe with a strong arrow of time, it is standard to postulate that the initial wave function started in a particular macrostate---the special low-entropy macrostate selected by the Past Hypothesis. Moreover, there is an additional postulate about statistical mechanical probabilities according to which the initial wave function is a ''typical'' choice in the macrostate. Together, they support a probabilistic version of the Second Law of Thermodynamics: typical initial wave functions will increase in entropy. Hence, there (...)
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  29. The Ontic Probability Interpretation of Quantum Theory - Part III: Schrödinger’s Cat and the ‘Basis’ and ‘Measurement’ Pseudo-Problems (2nd edition).Felix Alba-Juez - manuscript
    Most of us are either philosophically naïve scientists or scientifically naïve philosophers, so we misjudged Schrödinger’s “very burlesque” portrait of Quantum Theory (QT) as a profound conundrum. The clear signs of a strawman argument were ignored. The Ontic Probability Interpretation (TOPI) is a metatheory: a theory about the meaning of QT. Ironically, equating Reality with Actuality cannot explain actual data, justifying the century-long philosophical struggle. The actual is real but not everything real is actual. The ontic character (...)
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  30. A Synopsis of the Minimal Modal Interpretation of Quantum Theory.Jacob Barandes & David Kagan - manuscript
    We summarize a new realist, unextravagant interpretation of quantum theory that builds on the existing physical structure of the theory and allows experiments to have definite outcomes but leaves the theory's basic dynamical content essentially intact. Much as classical systems have specific states that evolve along definite trajectories through configuration spaces, the traditional formulation of quantum theory permits assuming that closed quantum systems have specific states that evolve unitarily along definite trajectories through Hilbert (...)
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  31. Measurement and Quantum Dynamics in the Minimal Modal Interpretation of Quantum Theory.Jacob A. Barandes & David Kagan - 2020 - Foundations of Physics 50 (10):1189-1218.
    Any realist interpretation of quantum theory must grapple with the measurement problem and the status of state-vector collapse. In a no-collapse approach, measurement is typically modeled as a dynamical process involving decoherence. We describe how the minimal modal interpretation closes a gap in this dynamical description, leading to a complete and consistent resolution to the measurement problem and an effective form of state collapse. Our interpretation also provides insight into the indivisible nature of measurement—the fact that you can't (...)
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  32. Quantum Theories of Consciousness.Paavo Pylkkänen - 2018 - In Rocco J. Gennaro (ed.), The Routledge Handbook of Consciousness. New York, NY, USA: pp. 216-231.
    This paper provides a brief introduction to quantum theory and the proceeds to discuss the different ways in which the relationship between quantum theory and mind/consciousness is seen in some of the main alternative interpretations of quantum theory namely by Bohr; von Neumann; Penrose: Everett; and Bohm and Hiley. It briefly considers how qualia might be explained in a quantum framework, and makes a connection to research on quantum biology, quantum cognition (...)
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  33. The Ontic Probability Interpretation of Quantum Theory - Part I: The Meaning of Einstein's Incompleteness Claim (2nd edition).Felix Alba-Juez - manuscript
    Ignited by Einstein and Bohr a century ago, the philosophical struggle about Reality is yet unfinished, with no signs of a swift resolution. Despite vast technological progress fueled by the iconic Einstein/Podolsky/Rosen paper (EPR) [1] [2] [3], the intricate link between ontic and epistemic aspects of Quantum Theory (QT) has greatly hindered our grip on Reality and further progress in physical theory. Fallacies concealed by tortuous logical negations made EPR comprehension much harder than it could have been (...)
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  34. Logical Entropy: Introduction to Classical and Quantum Logical Information theory.David Ellerman - 2018 - Entropy 20 (9):679.
    Logical information theory is the quantitative version of the logic of partitions just as logical probability theory is the quantitative version of the dual Boolean logic of subsets. The resulting notion of information is about distinctions, differences and distinguishability and is formalized using the distinctions of a partition. All the definitions of simple, joint, conditional and mutual entropy of Shannon information theory are derived by a uniform transformation from the corresponding definitions at the logical level. (...)
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  35. The Ontic Probability Interpretation of Quantum Theory - Part II: Einstein's Incompleteness/Nonlocality Dilemma (2nd edition).Felix Alba-Juez - manuscript
    After identifying in Part I [1] a conceptual confusion (TCC), a Reality preconception (TRP1), and a fallacious dichotomy (TFD), the famous EPR/EPRB [2] [3] [4] [5] [6] argument for correlated ‘particles’ is now studied in the light of the Ontic Probability Interpretation of Quantum Theory (QT/TOPI). Another Reality preconception (TRP2) is found, showing that EPR used and ignored QT predictions in a single paralogism. Employing TFD and TRP2, EPR unveiled a contradiction veiled in its premises. By removing nonlocality (...)
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  36. Quantum Theory and the Place of Mind in the Causal Order of Things.Paavo Pylkkänen - 2019 - In J. De Barros & Carlos Montemayor (eds.), Quanta and Mind: Essays on the Connection between Quantum Mechanics and the Consciousness. Cham, Switzerland: Springer Publishing Company. pp. 163-171.
    The received view in physicalist philosophy of mind assumes that causation can only take place at the physical domain and that the physical domain is causally closed. It is often thought that this leaves no room for mental states qua mental to have a causal influence upon the physical domain, leading to epiphenomenalism and the problem of mental causation. However, in recent philosophy of causation there has been growing interest in a line of thought that can be called causal antifundamentalism: (...)
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  37.  93
    New Prospects for a Causally Local Formulation of Quantum Theory.Jacob A. Barandes - manuscript
    It is difficult to extract reliable criteria for causal locality from the limited ingredients found in textbook quantum theory. In the end, Bell humbly warned that his eponymous theorem was based on criteria that “should be viewed with the utmost suspicion.” Remarkably, by stepping outside the wave-function paradigm, one can reformulate quantum theory in terms of old-fashioned configuration spaces together with ‘unistochastic’ laws. These unistochastic laws take the form of directed conditional probabilities, which turn out to (...)
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  38. The Role of Reconstruction in the Elucidation of Quantum Theory.Philip Goya - 2023 - In Philipp Berghofer & Harald A. Wiltsche (eds.), Phenomenology and Qbism: New Approaches to Quantum Mechanics. New York, NY: Routledge.
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  39. Theories of Consciousness & Death.Gregory Nixon (ed.) - 2016 - New York, USA: QuantumDream.
    What happens to the inner light of consciousness with the death of the individual body and brain? Reductive materialism assumes it simply fades to black. Others think of consciousness as indicating a continuation of self, a transformation, an awakening or even alternatives based on the quality of life experience. In this issue, speculation drawn from theoretic research are presented. -/- Table of Contents Epigraph: From “The Immortal”, Jorge Luis Borges iii Editor’s Introduction: I Killed a Squirrel the Other Day, Gregory (...)
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  40. Scientific Realism meets Metaphysics of Quantum Mechanics.Juha Saatsi - 2017 - In Philosophers Think About Quantum Theory.
    I examine the epistemological debate on scientific realism in the context of quantum physics, focusing on the empirical underdetermin- ation of different formulations and interpretations of QM. I will argue that much of the interpretational, metaphysical work on QM tran- scends the kinds of realist commitments that are well-motivated in the light of the history of science. I sketch a way of demarcating empirically well-confirmed aspects of QM from speculative quantum metaphysics in a way that coheres with anti-realist (...)
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  41. From Time Asymmetry to Quantum Entanglement: The Humean Unification.Eddy Keming Chen - 2022 - Noûs 56 (1):227-255.
    Two of the most difficult problems in the foundations of physics are (1) what gives rise to the arrow of time and (2) what the ontology of quantum mechanics is. I propose a unified 'Humean' solution to the two problems. Humeanism allows us to incorporate the Past Hypothesis and the Statistical Postulate into the best system, which we then use to simplify the quantum state of the universe. This enables us to confer the nomological status to the (...) state in a way that adds no significant complexity to the best system and solves the ''supervenient-kind problem'' facing the original version of the Past Hypothesis. We call the resultant theory the Humean unification. It provides a unified explanation of time asymmetry and quantum entanglement. On this theory, what gives rise to time's arrow is also responsible for quantum phenomena. The new theory has a separable mosaic, a best system that is simple and non-vague, less tension between quantum mechanics and special relativity, and a higher degree of theoretical and dynamical unity. The Humean unification leads to new insights that can be useful to Humeans and non-Humeans alike. (shrink)
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  42. Quantum behavior of the systems with a single degree of freedom and the derivation of quantum theory.Mehran Shaghaghi - manuscript
    The number of independent messages a physical system can carry is limited by the number of its adjustable properties. In particular, systems that have only one adjustable property cannot carry more than a single message at a time. We demonstrate this is the case for the single photons in the double-slit experiment, and the root of the fundamental limit on measuring the complementary aspect of the photons. Next, we analyze the other ‘quantal’ behavior of the systems with a single adjustable (...)
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  43. Two Versions of the Mestizo Model: Toward a Theory of Anti-Blackness in Latin American Thought.Miguel Gualdron Ramirez - 2023 - Journal of Speculative Philosophy 37 (3):319-332.
    ABSTRACT This article offers the first step in an ongoing project of revisiting the foundations of latinidad and lo latinoamericano by focusing on the exclusions enacted by the history of these concepts and the cultural and political identity that comes with them. In conversation with Susana Nuccetelli and Omar Rivera, the author focuses on two emblematic authors in the history of Latin American philosophy (Simón Bolívar and José de Vasconcelos) that are usually read as offering a novel, liberatory conception of (...)
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  44. A Version of Jung’s Synchronicity in the Event of Correlation of Mental Processes in the Past and the Future: Possible Role of Quantum Entanglement in Quantum Vacuum.Limar Igor V. - forthcoming - Neuroquantology.
    This paper deals with the version of Jung’s synchronicity in which correlation between mental processes of two different persons takes place not just in the case when at a certain moment of time the subjects are located at a distance from each other, but also in the case when both persons are alternately (and sequentially, one after the other) located in the same point of space. In this case, a certain period of time lapses between manifestation of mental process (...)
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  45. Special Relativity as a Stage in the Development of Quantum Theory: A New Outlook of Scientific Revolution.Rinat M. Nugayev - 1988 - Historia Scientiarum (34):57-79.
    To comprehend the special relativity genesis, one should unfold Einstein’s activities in quantum theory first . His victory upon Lorentz’s approach can only be understood in the wider context of a general programme of unification of classical mechanics and classical electrodynamics, with relativity and quantum theory being merely its subprogrammes. Because of the lack of quantum facets in Lorentz’s theory, Einstein’s programme, which seems to surpass the Lorentz’s one, was widely accepted as soon as (...)
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  46. Early Quantum Theory Genesis: Reconciliation of Maxwellian Electrodynamics, Thermodynamics and Statistical Mechanics.Rinat M. Nugayev - 2000 - Annales de la Fondation Louis de Broglie 25 (3-4):337-362.
    Genesis of the early quantum theory represented by Planck’s 1897-1906 papers is considered. It is shown that the first quantum theoretical schemes were constructed as crossbreed ones composed from ideal models and laws of Maxwellian electrodynamics, Newtonian mechanics, statistical mechanics and thermodynamics. Ludwig Boltzmann’s ideas and technique appeared to be crucial. Deriving black-body radiation law Max Planck had to take the experimental evidence into account. It forced him not to deduce from phenomena but to use more (...) instead. The experiments forced Planck to apply the statistical technique to radiation in increasing portions. Planck’s theories in no way were generalizations of existing experimental results. They represented the stages of an ambitious programme of Maxwellian electrodynamics and statistical mechanics reconciliation. (shrink)
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  47. Gentzen’s “cut rule” and quantum measurement in terms of Hilbert arithmetic. Metaphor and understanding modeled formally.Vasil Penchev - 2022 - Logic and Philosophy of Mathematics eJournal 14 (14):1-37.
    Hilbert arithmetic in a wide sense, including Hilbert arithmetic in a narrow sense consisting by two dual and anti-isometric Peano arithmetics, on the one hand, and the qubit Hilbert space (originating for the standard separable complex Hilbert space of quantum mechanics), on the other hand, allows for an arithmetic version of Gentzen’s cut elimination and quantum measurement to be described uniformy as two processes occurring accordingly in those two branches. A philosophical reflection also justifying that unity by (...)
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  48. Quantum Set Theory Extending the Standard Probabilistic Interpretation of Quantum Theory.Masanao Ozawa - 2016 - New Generation Computing 34 (1):125-152.
    The notion of equality between two observables will play many important roles in foundations of quantum theory. However, the standard probabilistic interpretation based on the conventional Born formula does not give the probability of equality between two arbitrary observables, since the Born formula gives the probability distribution only for a commuting family of observables. In this paper, quantum set theory developed by Takeuti and the present author is used to systematically extend the standard probabilistic interpretation of (...)
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  49. Whence deep realism for Everettian quantum mechanics?Raoni Wohnrath Arroyo & Jonas R. Becker Arenhart - 2022 - Foundations of Physics 52 (6):121.
    ‘Shallow’ and ‘deep’ versions of scientific realism may be distinguished as follows: the shallow realist is satisfied with belief in the existence of the posits of our best scientific theories; by contrast, deep realists claim that realism can be legitimate only if such entities are described in metaphysical terms. We argue that this methodological discussion can be fruitfully applied in Everettian quantum mechanics, specifically on the debate concerning the existence of worlds and the recent dispute between Everettian actualism and (...)
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  50. History of Science as a Facilitator for the Study of Physics: A Repertoire of Quantum Theory.Roberto Angeloni - 2018 - Newcastle upon Tyne District, Newcastle upon Tyne, UK: Cambridge Scholars Publishing.
    This proposal serves to enhance scientific and technological literacy, by promoting STEM (Science, Technology, Engineering, and Mathematics) education with particular reference to contemporary physics. The study is presented in the form of a repertoire, and it gives the reader a glimpse of the conceptual structure and development of quantum theory along a rational line of thought, whose understanding might be the key to introducing young generations of students to physics.
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