Results for 'classical mechanics'

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  1.  22
    Derivation of Classical Mechanics in an Energetic Framework Via Conservation and Relativity.Philip Goyal - 2020 - Foundations of Physics 1:1-54.
    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 (...)—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. 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 that are needed to build up the theoretical edifice. (shrink)
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  2.  52
    Indeterminism in Physics, Classical Chaos and Bohmian Mechanics.\\ Are Real Numbers Really Real?Nicolas Gisin - 2019 - Erkenntnis:1-13.
    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 (...), 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)
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  3.  63
    On the Gibbs-Liouville Theorem in Classical Mechanics.Andreas Henriksson - manuscript
    In this article, it is argued that the Gibbs-Liouville theorem is a mathematical representation of the statement that closed classical systems evolve deterministically. From the perspective of an observer of the system, whose knowledge about the degrees of freedom of the system is complete, the statement of deterministic evolution is equivalent to the notion that the physical distinctions between the possible states of the system, or, in other words, the information possessed by the observer about the system, is never (...)
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  4. Relationalism About Mechanics Based on a Minimalist Ontology of Matter.Antonio Vassallo, Dirk-André Deckert & Michael Esfeld - 2016 - European Journal for Philosophy of Science:1-20.
    This paper elaborates on relationalism about space and time as motivated by a minimalist ontology of the physical world: there are only matter points that are individuated by the distance relations among them, with these relations changing. We assess two strategies to combine this ontology with physics, using classical mechanics as example: the Humean strategy adopts the standard, non-relationalist physical theories as they stand and interprets their formal apparatus as the means of bookkeeping of the change of the (...)
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  5. Metaphysical Foundations of Neoclassical Mechanics.Marius Stan - 2017 - In Michela Massimi & Angela Breitenbach (eds.), Kant and the Laws of Nature. Cambridge University Press. pp. 214-234.
    I examine here if Kant’s metaphysics of matter can support any late-modern versions of classical mechanics. I argue that in principle it can, by two different routes. I assess the interpretive costs of each approach, and recommend the most promising strategy: a mass-point approach.
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  6. Quantum Mechanics and Paradigm Shifts.Valia Allori - 2015 - Topoi 34 (2):313-323.
    It has been argued that the transition from classical to quantum mechanics is an example of a Kuhnian scientific revolution, in which there is a shift from the simple, intuitive, straightforward classical paradigm, to the quantum, convoluted, counterintuitive, amazing new quantum paradigm. In this paper, after having clarified what these quantum paradigms are supposed to be, I analyze whether they constitute a radical departure from the classical paradigm. Contrary to what is commonly maintained, I argue that, (...)
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  7. Decoherence and the Classical Limit of Quantum Mechanics.Valia Allori - 2002 - Dissertation, University of Genova, Italy
    In my dissertation (Rutgers, 2007) I developed the proposal that one can establish that material quantum objects behave classically just in case there is a “local plane wave” regime, which naturally corresponds to the suppression of all quantum interference.
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  8. A New Argument for the Nomological Interpretation of the Wave Function: The Galilean Group and the Classical Limit of Nonrelativistic Quantum Mechanics.Valia Allori - 2017 - International Studies in the Philosophy of Science (2):177-188.
    In this paper I investigate, within the framework of realistic interpretations of the wave function in nonrelativistic quantum mechanics, the mathematical and physical nature of the wave function. I argue against the view that mathematically the wave function is a two-component scalar field on configuration space. First, I review how this view makes quantum mechanics non- Galilei invariant and yields the wrong classical limit. Moreover, I argue that interpreting the wave function as a ray, in agreement many (...)
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  9.  69
    Quantum Mechanics Over Sets.David Ellerman - forthcoming - Synthese.
    This paper shows how the classical finite probability theory (with equiprobable outcomes) can be reinterpreted and recast as the quantum probability calculus of a pedagogical or toy model of quantum mechanics over sets (QM/sets). There have been several previous attempts to develop a quantum-like model with the base field of ℂ replaced by ℤ₂. Since there are no inner products on vector spaces over finite fields, the problem is to define the Dirac brackets and the probability calculus. The (...)
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  10. Self-Locating Uncertainty and the Origin of Probability in Everettian Quantum Mechanics.Charles T. Sebens & Sean M. Carroll - 2016 - British Journal for the Philosophy of Science (1):axw004.
    A longstanding issue in attempts to understand the Everett (Many-Worlds) approach to quantum mechanics is the origin of the Born rule: why is the probability given by the square of the amplitude? Following Vaidman, we note that observers are in a position of self-locating uncertainty during the period between the branches of the wave function splitting via decoherence and the observer registering the outcome of the measurement. In this period it is tempting to regard each branch as equiprobable, but (...)
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  11. Kant’s Third Law of Mechanics: The Long Shadow of Leibniz.Marius Stan - 2013 - Studies in History and Philosophy of Science Part A 44 (3):493-504.
    This paper examines the origin, range and meaning of the Principle of Action and Reaction in Kant’s mechanics. On the received view, it is a version of Newton’s Third Law. I argue that Kant meant his principle as foundation for a Leibnizian mechanics. To find a ‘Newtonian’ law of action and reaction, we must look to Kant’s ‘dynamics,’ or theory of matter. I begin, in part I, by noting marked differences between Newton’s and Kant’s laws of action and (...)
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  12. Euler, Newton, and Foundations for Mechanics.Marius Stan - 2017 - In Chris Smeenk & Eric Schliesser (eds.), The Oxford Handbook of Newton. Oxford University Press. pp. 1-22.
    This chapter looks at Euler’s relation to Newton, and at his role in the rise of ‘Newtonian’ mechanics. It aims to give a sense of Newton’s complicated legacy for Enlightenment science, and to raise awareness that some key ‘Newtonian’ results really come from Euler.
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  13. Epsilon-Ergodicity and the Success of Equilibrium Statistical Mechanics.Peter B. M. Vranas - 1998 - Philosophy of Science 65 (4):688-708.
    Why does classical equilibrium statistical mechanics work? Malament and Zabell (1980) noticed that, for ergodic dynamical systems, the unique absolutely continuous invariant probability measure is the microcanonical. Earman and Rédei (1996) replied that systems of interest are very probably not ergodic, so that absolutely continuous invariant probability measures very distant from the microcanonical exist. In response I define the generalized properties of epsilon-ergodicity and epsilon-continuity, I review computational evidence indicating that systems of interest are epsilon-ergodic, I adapt Malament (...)
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  14. Semantic Epistemology Redux: Proof and Validity in Quantum Mechanics.Arnold Cusmariu - 2016 - Logos and Episteme 7 (3):287-303.
    Definitions I presented in a previous article as part of a semantic approach in epistemology assumed that the concept of derivability from standard logic held across all mathematical and scientific disciplines. The present article argues that this assumption is not true for quantum mechanics (QM) by showing that concepts of validity applicable to proofs in mathematics and in classical mechanics are inapplicable to proofs in QM. Because semantic epistemology must include this important theory, revision is necessary. The (...)
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  15.  63
    Interpretive Analogies Between Quantum and Statistical Mechanics.C. D. McCoy - 2020 - European Journal for Philosophy of Science 10 (1):9.
    The conspicuous similarities between interpretive strategies in classical statistical mechanics and in quantum mechanics may be grounded on their employment of common implementations of probability. The objective probabilities which represent the underlying stochasticity of these theories can be naturally associated with three of their common formal features: initial conditions, dynamics, and observables. Various well-known interpretations of the two theories line up with particular choices among these three ways of implementing probability. This perspective has significant application to debates (...)
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  16. An Alternative Interpretation of Statistical Mechanics.C. D. McCoy - 2020 - Erkenntnis 85 (1):1-21.
    In this paper I propose an interpretation of classical statistical mechanics that centers on taking seriously the idea that probability measures represent complete states of statistical mechanical systems. I show how this leads naturally to the idea that the stochasticity of statistical mechanics is associated directly with the observables of the theory rather than with the microstates (as traditional accounts would have it). The usual assumption that microstates are representationally significant in the theory is therefore dispensable, a (...)
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  17. Semantic Externalism and the Mechanics of Thought.Carrie Figdor - 2009 - Minds and Machines 19 (1):1-24.
    I review a widely accepted argument to the conclusion that the contents of our beliefs, desires and other mental states cannot be causally efficacious in a classical computational model of the mind. I reply that this argument rests essentially on an assumption about the nature of neural structure that we have no good scientific reason to accept. I conclude that computationalism is compatible with wide semantic causal efficacy, and suggest how the computational model might be modified to accommodate this (...)
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  18.  29
    The Indeterminist Objectivity of Quantum Mechanics Versus the Determinist Subjectivity of Classical Physics.Vasil Penchev - 2020 - Cosmology and Large-Scale Structure eJournal (Elsevier: SSRN) 2 (18):1-5.
    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 (...)
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  19.  73
    Quantum Mechanics Unscrambled.Jean-Michel Delhotel - 2014
    Is quantum mechanics about ‘states’? Or is it basically another kind of probability theory? It is argued that the elementary formalism of quantum mechanics operates as a well-justified alternative to ‘classical’ instantiations of a probability calculus. Its providing a general framework for prediction accounts for its distinctive traits, which one should be careful not to mistake for reflections of any strange ontology. The suggestion is also made that quantum theory unwittingly emerged, in Schrödinger’s formulation, as a ‘lossy’ (...)
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  20. Quantum Mechanics Foundations.Bakytzhan Oralbekov - manuscript
    Gravity remains the most elusive field. Its relationship with the electromagnetic field is poorly understood. Relativity and quantum mechanics describe the aforementioned fields, respectively. Bosons and fermions are often credited with responsibility for the interactions of force and matter. It is shown here that fermions factually determine the gravitational structure of the universe, while bosons are responsible for the three established and described forces. Underlying the relationships of the gravitational and electromagnetic fields is a symmetrical probability distribution of fermions (...)
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  21.  21
    Cyclic Mechanics: The Principle of Cyclicity.Vasil Penchev - 2020 - Cosmology and Large-Scale Structure eJournal (Elsevier: SSRN) 2 (16):1-35.
    Cyclic mechanic is intended as a suitable generalization both of quantum mechanics and general relativity apt to unify them. It is founded on a few principles, which can be enumerated approximately as follows: 1. Actual infinity or the universe can be considered as a physical and experimentally verifiable entity. It allows of mechanical motion to exist. 2. A new law of conservation has to be involved to generalize and comprise the separate laws of conservation of classical and relativistic (...)
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  22.  21
    Indeterminism in Quantum Mechanics: Beyond and/or Within.Vasil Penchev - 2020 - Development of Innovation eJournal (Elsevier: SSRN) 8 (68):1-5.
    The problem of indeterminism in quantum mechanics usually being considered as a generalization determinism of classical mechanics and physics for the case of discrete (quantum) changes is interpreted as an only mathematical problem referring to the relation of a set of independent choices to a well-ordered series therefore regulated by the equivalence of the axiom of choice and the well-ordering “theorem”. The former corresponds to quantum indeterminism, and the latter, to classical determinism. No other premises (besides (...)
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  23. Philosophical & Practical Implications of Quantum Mechanics.Sunil Thakur - manuscript
    Quantum mechanics makes some very significant observations about nature. Unfortunately, these observations remain a mystery because they do not fit into and/or cannot be explained through classical mechanics. However, we can still explore the philosophical and practical implications of these observations. This article aims to explain philosophical and practical implications of one of the most important observations of quantum mechanics – uncertainty or the arbitrariness in the behavior of particles.
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  24.  94
    “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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  25. 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 version of the Conservation (...)
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  26. Standing Colossus: Newton and the French: Essay Review of J. B. Shank, Before Voltaire: The French Origins of “Newtonian” Mechanics, 1680–1715. University of Chicago Press, 2018. Cloth, X+444 Pp., Ill. ISBN 978-0-226-50929-7. $55.00. [REVIEW]Marius Stan - 2019 - Annals of Science 76 (3-4):347-354.
    A critical discussion of J.B. Shank, 'Before Voltaire: the French Origins of "Newtonian" Mechanics,' University of Chicago Press, 2018.
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  27. Thick Presentism and Newtonian Mechanics.Ihor Lubashevsky - 2016 - Http://Arxiv.Org.
    In the present paper I argue that the formalism of Newtonian mechanics stems directly from the general principle to be called the principle of microlevel reducibility which physical systems obey in the realm of classical physics. This principle assumes, first, that all the properties of physical systems must be determined by their states at the current moment of time, in a slogan form it is ``only the present matters to physics.'' Second, it postulates that any physical system is (...)
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  28.  85
    Maxwell’s Demon in Quantum Mechanics.Orly Shenker & Meir Hemmo - 2020 - Entropy 22 (3):269.
    Maxwell’s Demon is a thought experiment devised by J. C. Maxwell in 1867 in order to show that the Second Law of thermodynamics is not universal, since it has a counter-example. Since the Second Law is taken by many to provide an arrow of time, the threat to its universality threatens the account of temporal directionality as well. Various attempts to “exorcise” the Demon, by proving that it is impossible for one reason or another, have been made throughout the years, (...)
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  29.  42
    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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  30.  18
    Aristotle and the Foundation of Quantum Mechanics.Alfred Driessen - forthcoming - Acta Philosophica.
    The four antinomies of Zeno of Elea, especially Achilles and the tortoise, continue to be provoking issues which not always receive adequate treatment. Aristotle himself used this antinomy to develop his understanding of movement: it is a fluent continuum that he considers to be a whole. The parts, if any, are only potentially present. The claim of quantum mechanics is precisely that: movement is quantized; things move or change in non-reducible steps, the so-called quanta. This view is in contrast (...)
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  31. Heisenberg Quantum Mechanics, Numeral Set-Theory And.Han Geurdes - manuscript
    In the paper we will employ set theory to study the formal aspects of quantum mechanics without explicitly making use of space-time. It is demonstrated that von Neuman and Zermelo numeral sets, previously efectively used in the explanation of Hardy’s paradox, follow a Heisenberg quantum form. Here monadic union plays the role of time derivative. The logical counterpart of monadic union plays the part of the Hamiltonian in the commutator. The use of numerals and monadic union in the (...) probability resolution of Hardy’s paradox [1] is supported with the present derivation of a commutator for sets. (shrink)
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  32. Imprecise Probabilities in Quantum Mechanics.Stephan Hartmann - 2015 - In Colleen E. Crangle, Adolfo García de la Sienra & Helen E. Longino (eds.), Foundations and Methods from Mathematics to Neuroscience. Stanford: CSLI Publications. pp. 77-82.
    In his entry on "Quantum Logic and Probability Theory" in the Stanford Encyclopedia of Philosophy, Alexander Wilce (2012) writes that "it is uncontroversial (though remarkable) the formal apparatus quantum mechanics reduces neatly to a generalization of classical probability in which the role played by a Boolean algebra of events in the latter is taken over the 'quantum logic' of projection operators on a Hilbert space." For a long time, Patrick Suppes has opposed this view (see, for example, the (...)
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  33.  57
    The Case of Quantum Mechanics Mathematizing Reality: The “Superposition” of Mathematically Modelled and Mathematical Reality: Is There Any Room for Gravity?Vasil Penchev - 2020 - Cosmology and Large-Scale Structure eJournal (Elsevier: SSRN) 2 (24):1-15.
    A case study of quantum mechanics is investigated in the framework of the philosophical opposition “mathematical model – reality”. All classical science obeys the postulate about the fundamental difference of model and reality, and thus distinguishing epistemology from ontology fundamentally. The theorems about the absence of hidden variables in quantum mechanics imply for it to be “complete” (versus Einstein’s opinion). That consistent completeness (unlike arithmetic to set theory in the foundations of mathematics in Gödel’s opinion) can be (...)
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  34.  42
    Achilles, the Tortoise and Quantum Mechanics.Alfred Driessen - manuscript
    The four antinomies of Zeno of Elea, especially Achilles and the tortoise continue to be provoking issues which are even now not always satisfactory solved. Aristotle himself used this antinomy to develop his understanding of movement: it is a fluent continuum that has to be treated as a whole. The parts, if any, are only potentially present in the whole. And that is exactly what quantum mechanics is claiming: movement is quantized in contrast to classical mechanics. The (...)
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  35.  28
    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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  36. Relation Between Relativisitic Quantum Mechanics And.Han Geurdes - 1995 - Phys Rev E 51 (5):5151-5154.
    The objective of this report is twofold. In the first place it aims to demonstrate that a four-dimensional local U(1) gauge invariant relativistic quantum mechanical Dirac-type equation is derivable from the equations for the classical electromagnetic field. In the second place, the transformational consequences of this local U(1) invariance are used to obtain solutions of different Maxwell equations.
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  37. Einstein's Revolution: Reconciliation of Mechanics, Electrodynamics and Thermodynamics.Rinat M. Nugayev - 2000 - Physis.Rivista Internazionale Di Storia Della Scienza (1):181-207.
    The aim of this paper is to make a step towards a complete description of Special Relativity genesis and acceptance, bringing some light on the intertheoretic relations between Special Relativity and other physical theories of the day. I’ll try 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.e. elimination of the contradictions between the consequences of this theories. The approach proposed enables to explain (...)
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  38.  75
    An Analogy for the Relativistic Quantum Mechanics Through a Model of De Broglie Wave-Covariant Ether.Mohammed Sanduk - 2018 - International Journal of Quantum Foundations 4 (2):173 - 198.
    Based on de Broglie’s wave hypothesis and the covariant ether, the Three Wave Hypothesis (TWH) has been proposed and developed in the last century. In 2007, the author found that the TWH may be attributed to a kinematical classical system of two perpendicular rolling circles. In 2012, the author showed that the position vector of a point in a model of two rolling circles in plane can be transformed to a complex vector under a proposed effect of partial observation. (...)
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  39. On the Logical Origins of Quantum Mechanics Demonstrated by Using Clifford Algebra.Elio Conte - 2011 - Electronic Journal of Theoretical Physics 8 (25):109-126.
    We review a rough scheme of quantum mechanics using the Clifford algebra. Following the steps previously published in a paper by another author [31], we demonstrate that quantum interference arises in a Clifford algebraic formulation of quantum mechanics. In 1932 J. von Neumann showed that projection operators and, in particular, quantum density matrices can be interpreted as logical statements. In accord with a previously obtained result by V. F Orlov , in this paper we invert von Neumann’s result. (...)
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  40. On the Logical Origins of Quantum Mechanics Demonstrated By Using Clifford Algebra: A Proof That Quantum Interference Arises in a Clifford Algebraic Formulation of Quantum Mechanics.Elio Conte - 2011 - Electronic Journal of Theoretical Physics 8 (25):109-126.
    We review a rough scheme of quantum mechanics using the Clifford algebra. Following the steps previously published in a paper by another author [31], we demonstrate that quantum interference arises in a Clifford algebraic formulation of quantum mechanics. In 1932 J. von Neumann showed that projection operators and, in particular, quantum density matrices can be interpreted as logical statements. In accord with a previously obtained result by V. F Orlov , in this paper we invert von Neumann’s result. (...)
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  41.  71
    Journey Towards Sunyata From Quantum Mechanics.Debajyoti Gangopadhyay - 2009 - In Ramaranjan Mukherjee Mukherjee & Buddhadev Bhattacharya (eds.), Dimensions of Buddhism and Jainism ,Professor Suniti Kumar Pathak felicitation , Vol II. pp. pp 281-289.
    In this article we have tried basically to lay out an outline of possible overlap between the metaphysical standpoints of the Madhyamik Buddhism with the so called Copenhagen interpretation of quantum mechanics. We argued here that , both Madhyamik Buddhism as well as Copenhagen develop some common grounds of skepticism or cautionary notes against the classical intuitive Realist ideology committed to ontological priority of individual . So , though the presiding contexts of Madhyamik Buddhism and quantum mechanics (...)
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  42. Linguistic Copenhagen Interpretation of Quantum Mechanics: Quantum Language [Ver. 4].Shiro Ishikawa - manuscript
    Recently we proposed “quantum language" (or,“the linguistic Copenhagen interpretation of quantum mechanics"), which was not only characterized as the metaphysical and linguistic turn of quantum mechanics but also the linguistic turn of Descartes=Kant epistemology. Namely, quantum language is the scientific final goal of dualistic idealism. It has a great power to describe classical systems as well as quantum systems. Thus, we believe that quantum language is the language in which science is written. The purpose of this preprint (...)
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  43. Aristotle’s Empiricism: Experience and Mechanics in the 4th Century BC by Jean De Groot. [REVIEW]Monte Ransome Johnson - 2015 - Ancient Philosophy 35 (1):220-230.
    According to a generally held impression, which has coalesced out of centuries of misinterpretation occasioned mostly by misguided charitable commentary, but often by outright hostility to his followers (and occasionally deliberate misrepresentation of his ideas), Aristotle is a teleological (as opposed to “mechanistic”) philosopher, responsible for a “qualitative” (as opposed to quantitative) approach to physics that is thereby inadequately mathematical, whose metaphysical speculations, as absorbing as they continue to be even for contemporary and otherwise ahistorical analytical metaphysicians, are essentially devoid (...)
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  44.  78
    “Fuzzy Time”, From Paradox to Paradox (Does It Solve the Contradiction Between Quantum Mechanics & General Relativity?).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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  45.  33
    The Kochen - Specker Theorem in Quantum Mechanics: A Philosophical Comment (Part 1).Vasil Penchev - 2013 - Philosophical Alternatives 22 (1):67-77.
    Non-commuting quantities and hidden parameters – Wave-corpuscular dualism and hidden parameters – Local or nonlocal hidden parameters – Phase space in quantum mechanics – Weyl, Wigner, and Moyal – Von Neumann’s theorem about the absence of hidden parameters in quantum mechanics and Hermann – Bell’s objection – Quantum-mechanical and mathematical incommeasurability – Kochen – Specker’s idea about their equivalence – The notion of partial algebra – Embeddability of a qubit into a bit – Quantum computer is not Turing (...)
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  46. On Classical Finite Probability Theory as a Quantum Probability Calculus.David Ellerman - manuscript
    This paper shows how the classical finite probability theory (with equiprobable outcomes) can be reinterpreted and recast as the quantum probability calculus of a pedagogical or "toy" model of quantum mechanics over sets (QM/sets). There are two parts. The notion of an "event" is reinterpreted from being an epistemological state of indefiniteness to being an objective state of indefiniteness. And the mathematical framework of finite probability theory is recast as the quantum probability calculus for QM/sets. The point is (...)
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  47.  39
    Bohmian Classical Limit in Bounded Regions.Davide Romano - 2016 - In Laura Felline & A. Paoli L. Felline (eds.), New Directions in Logic and the Philosophy of Science (SILFS proceedings, vol. 3). London: College Publications. pp. 303-317.
    Bohmian mechanics is a realistic interpretation of quantum theory. It shares the same ontology of classical mechanics: particles following continuous trajectories in space through time. For this ontological continuity, it seems to be a good candidate for recovering the classical limit of quantum theory. Indeed, in a Bohmian framework, the issue of the classical limit reduces to showing how classical trajectories can emerge from Bohmian ones, under specific classicality assumptions. In this paper, we shall (...)
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  48.  32
    On the Ergodic Theorem and Information Loss in Statistical Mechanics.Andreas Henriksson - manuscript
    In this article, it is argued that, for a classical Hamiltonian system which is closed, the ergodic theorem emerge from the Gibbs-Liouville theorem in the limit that the system has evolved for an infinitely long period of time. In this limit, from the perspective of an ignorant observer, who do not have perfect knowledge about the complete set of degrees of freedom for the system, distinctions between the possible states of the system, i.e. the information content, is lost leading (...)
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  49. Quantum No-Go Theorems and Consciousness.Danko Georgiev - 2013 - Axiomathes 23 (4):683-695.
    Our conscious minds exist in the Universe, therefore they should be identified with physical states that are subject to physical laws. In classical theories of mind, the mental states are identified with brain states that satisfy the deterministic laws of classical mechanics. This approach, however, leads to insurmountable paradoxes such as epiphenomenal minds and illusionary free will. Alternatively, one may identify mental states with quantum states realized within the brain and try to resolve the above paradoxes using (...)
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  50. On Some Considerations of Mathematical Physics: May We Identify Clifford Algebra as a Common Algebraic Structure for Classical Diffusion and Schrödinger Equations?Elio Conte - 2012 - Advanced Studies in Theoretical Physics 6 (26):1289-1307.
    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 (...)
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