Results for 'Classical mechanics'

999 found
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  1. 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.  99
    Real Numbers Are the Hidden Variables of Classical Mechanics.Nicolas Gisin - 2020 - Quantum Studies: Mathematics and Foundations 7:197–201.
    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.
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  3.  20
    A Semi-Classical Model of the Elementary Process Theory Corresponding to Non-Relativistic Classical Mechanics.Marcoen J. T. F. Cabbolet - manuscript
    Currently there are at least four sizeable projects going on to establish the gravitational acceleration of massive antiparticles on earth. While general relativity and modern quantum theories strictly forbid any repulsive gravity, it has not yet been established experimentally that gravity is attraction only. With that in mind, the Elementary Process Theory (EPT) is a rather abstract theory that has been developed from the hypothesis that massive antiparticles are repulsed by the gravitational field of a body of ordinary matter: the (...)
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  4. Liouville's Theorem and the Foundation of Classical Mechanics.Andreas Henriksson - 2022 - Lithuanian Journal of Physics 62 (2):73-80.
    In this article, it is suggested that a pedagogical point of departure in the teaching of classical mechanics is the Liouville theorem. The theorem is interpreted to define the condition that describe the conservation of information in classical mechanics. The Hamilton equations and the Hamilton principle of least action are derived from the Liouville theorem.
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  5. 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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  6.  35
    Indeterminism in Physics, Classical Chaos and Bohmian Mechanics: Are Real Numbers Really Real?Nicolas Gisin - 2021 - Erkenntnis 86 (6):1469-1481.
    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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  7. Quantum Mechanical EPRBA Covariance and Classical Probability.Han Geurdes - manuscript
    Contrary to Bell’s theorem it is demonstrated that with the use of classical probability theory the quantum correlation can be approximated. Hence, one may not conclude from experiment that all local hidden variable theories are ruled out by a violation of inequality result.
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  8.  68
    Classical AI Linguistic Understanding and the Insoluble Cartesian Problem.Rodrigo González - 2020 - AI and Society 35 (2):441-450.
    This paper examines an insoluble Cartesian problem for classical AI, namely, how linguistic understanding involves knowledge and awareness of u’s meaning, a cognitive process that is irreducible to algorithms. As analyzed, Descartes’ view about reason and intelligence has paradoxically encouraged certain classical AI researchers to suppose that linguistic understanding suffices for machine intelligence. Several advocates of the Turing Test, for example, assume that linguistic understanding only comprises computational processes which can be recursively decomposed into algorithmic mechanisms. Against this (...)
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  9. 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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  10. The Principles of Quantum Mechanics.Paul Adrien Maurice Dirac - 1930 - Clarendon Press.
    THE PRINCIPLE OF SUPERPOSITION. The need for a quantum theory Classical mechanics has been developed continuously from the time of Newton and applied to an ...
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  11. 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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  12. 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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  13. 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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  14.  66
    Philosophical Mechanics in the Age of Reason.Marius Stan & Katherine Brading - forthcoming - New York: Oxford University Press.
    This book argues that the Enlightenment was a golden age for the philosophy of body, and for efforts to integrate coherently a philosophical concept of body with a mathematized theory of mechanics. Thereby, it articulates a new framing for the history of 18th-century philosophy and science. It explains why, more than a century after Newton, physics broke away from philosophy to become an autonomous domain. And, it casts fresh light on the structure and foundations of classical mechanics. (...)
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  15. 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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  16.  37
    Quantum Foundations of Statistical Mechanics and Thermodynamics.Orly Shenker - 2021 - In Eleanor Knox & Alastair Wilson (eds.), The Routledge Companion to Philosophy of Physics. Oxford: Routledge. pp. Ch. 29.
    Statistical mechanics is often taken to be the paradigm of a successful inter-theoretic reduction, which explains the high-level phenomena (primarily those described by thermodynamics) by using the fundamental theories of physics together with some auxiliary hypotheses. In my view, the scope of statistical mechanics is wider since it is the type-identity physicalist account of all the special sciences. But in this chapter, I focus on the more traditional and less controversial domain of this theory, namely, that of explaining (...)
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  17. 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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  18. 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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  19.  43
    Quantum Mereology: Factorizing Hilbert Space Into Subsystems with Quasi-Classical Dynamics.Sean M. Carroll & Ashmeet Singh - 2021 - Physical Review A 103 (2):022213.
    We study the question of how to decompose Hilbert space into a preferred tensor-product factorization without any pre-existing structure other than a Hamiltonian operator, in particular the case of a bipartite decomposition into "system" and "environment." Such a decomposition can be defined by looking for subsystems that exhibit quasi-classical behavior. The correct decomposition is one in which pointer states of the system are relatively robust against environmental monitoring (their entanglement with the environment does not continually and dramatically increase) and (...)
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  20.  94
    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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  21. 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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  22. 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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  23. 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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  24.  12
    Mechanizmy predykcyjne i ich normatywność [Predictive mechanisms and their normativity].Michał Piekarski - 2020 - Warszawa, Polska: Liberi Libri.
    The aim of this study is to justify the belief that there are biological normative mechanisms that fulfill non-trivial causal roles in the explanations (as formulated by researchers) of actions and behaviors present in specific systems. One example of such mechanisms is the predictive mechanisms described and explained by predictive processing (hereinafter PP), which (1) guide actions and (2) shape causal transitions between states that have specific content and fulfillment conditions (e.g. mental states). Therefore, I am guided by a specific (...)
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  25. Gauge Invariance for Classical Massless Particles with Spin.Jacob A. Barandes - 2021 - Foundations of Physics 51 (1):1-14.
    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 (...)
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  26. 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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  27.  77
    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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  28. Computing Mechanisms and Autopoietic Systems.Joe Dewhurst - 2016 - In Vincent Müller (ed.), Computing and Philosophy. Springer Verlag. pp. 17-26.
    This chapter draws an analogy between computing mechanisms and autopoietic systems, focusing on the non-representational status of both kinds of system (computational and autopoietic). It will be argued that the role played by input and output components in a computing mechanism closely resembles the relationship between an autopoietic system and its environment, and in this sense differs from the classical understanding of inputs and outputs. The analogy helps to make sense of why we should think of computing mechanisms as (...)
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  29. 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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  30.  67
    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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  31.  38
    Manifestation of Quantum Mechanical Properties of a Proprietor’s Consciousness in Slit Measurements of Economic Systems.Sergiy Melnyk & Igor Tuluzov - 2014 - Neuroquantology 12 (3).
    The present paper discusses the problem of quantum-mechanical properties of a subject’s consciousness. The model of generalized economic measurements is used for the analysis. Two types of such measurements are analyzed – transactions and technologies. Algebraic ratios between the technology-type measurements allow making their analogy with slit experiments in physics. It has been shown that the description of results of such measurements is possible both in classical and in quantum formalism of calculation of probabilities. Thus, the quantum-mechanical formalism of (...)
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  32.  11
    مبانی فلسفی مکانیک کوانتوم / Philosophical Foundations of Quantum Mechanics.Alireza Mansouri - 2016 - Tehran: Nashre Ney.
    With the advent of quantum mechanics in the early 20th century, a great revolution took place in science. The philosophical foundations of classical physics collapsed, and controversial conceptual issues arose: can the quantum mechanical description of physical reality be considered complete? Are the objects of nature inseparable? Do objects not have a specific location before measurement, and are there non-causal quantum jumps? As time passed, not only did the controversies not diminish, but with the decline of positivism, they (...)
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  33. 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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  34. 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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  35. 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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  36. 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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  37. 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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  38.  58
    Quantity in Quantum Mechanics and the Quantity of Quantum Information.Vasil Penchev - 2021 - Philosophy of Science eJournal (Elsevier: SSRN) 14 (47):1-10.
    The paper interprets the concept “operator in the separable complex Hilbert space” (particalry, “Hermitian operator” as “quantity” is defined in the “classical” quantum mechanics) by that of “quantum information”. As far as wave function is the characteristic function of the probability (density) distribution for all possible values of a certain quantity to be measured, the definition of quantity in quantum mechanics means any unitary change of the probability (density) distribution. It can be represented as a particular case (...)
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  39. 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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  40. 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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  41. 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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  42. Beyond the Classic Receptive Field: The Effect of Contextual Stimuli.Lothar Spillmann, Birgitta Dresp-Langley & Chia-Huei Tseng - 2015 - Journal of Vision 15:1-22.
    Following the pioneering studies of the receptive field (RF), the concept gained further significance for visual perception by the discovery of input effects from beyond the classical RF. These studies demonstrated that neuronal responses could be modulated by stimuli outside their RFs, consistent with the perception of induced brightness, color, orientation, and motion. Lesion scotomata are similarly modulated perceptually from the surround by RFs that have migrated from the interior to the outer edge of the scotoma and in this (...)
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  43. 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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  44. Mechanical Recording In Arnheim’s Film As Art.Yvan Tétreault - 2008 - Postgraduate Journal of Aesthetics 5 (1):16-26.
    In his classic Film as Art, Rudolf Arnheim sets out to refute the claim that “Film cannot be art, for it does nothing but reproduce reality mechanically”.1 The usual argument in favor of that claim, he explains, contrasts film with realist painting, and goes something like this: There’s no doubt that what appears on the canvas depends on the way the painter sees the world, on her particular technique, on the colors she’s using, and so on. It is elements like (...)
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  45. Fundamentality and Levels in Everettian Quantum Mechanics.Alastair Wilson - forthcoming - In Valia Allori (ed.), Quantum Mechanics and Fundamentality. Springer.
    Distinctions in fundamentality between different levels of description are central to the viability of contemporary decoherence-based Everettian quantum mechanics (EQM). This approach to quantum theory characteristically combines a determinate fundamental reality (one universal wave function) with an indeterminate emergent reality (multiple decoherent worlds). In this chapter I explore how the Everettian appeal to fundamentality and emergence can be understood within existing metaphysical frameworks, identify grounding and concept fundamentality as promising theoretical tools, and use them to characterize a system of (...)
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  46. 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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  47.  41
    Is the Classical Limit “Singular”?Jer Steeger & Benjamin H. Feintzeig - 2021 - Studies in History and Philosophy of Science Part A 88:263-279.
    We argue against claims that the classical ℏ → 0 limit is “singular” in a way that frustrates an eliminative reduction of classical to quantum physics. We show one precise sense in which quantum mechanics and scaling behavior can be used to recover classical mechanics exactly, without making prior reference to the classical theory. To do so, we use the tools of strict deformation quantization, which provides a rigorous way to capture the ℏ → (...)
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  48.  67
    The Physics and Metaphysics of Tychistic Bohmian Mechanics.Patrick Duerr & Alexander Ehmann - 2021 - Studies in History and Philosophy of Science Part A 90:168-183.
    The paper takes up Bell's “Everett theory” and develops it further. The resulting theory is about the system of all particles in the universe, each located in ordinary, 3-dimensional space. This many-particle system as a whole performs random jumps through 3N-dimensional configuration space – hence “Tychistic Bohmian Mechanics”. The distribution of its spontaneous localisations in configuration space is given by the Born Rule probability measure for the universal wavefunction. Contra Bell, the theory is argued to satisfy the minimal desiderata (...)
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  49. Standing Colossus: Newton and the French: Essay Review of J. B. Shank, Before Voltaire: The French Origins of “Newtonian” Mechanics, 1680–1715. [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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  50. 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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