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  1. added 2020-05-04
    The Structure of Space and Time, and Physical Indeterminacy.Hanoch Ben-Yami - manuscript
    I introduce a sequence which I call indefinite: a sequence every element of which has a successor but whose number of elements is bounded; this is no contradiction. I then consider the possibility of space and time being indefinitely divisible. This is theoretically possible and agrees with experience. If this is space and time’s structure, then even if the laws of nature are deterministic, the behaviour of physical systems will be probabilistic. This approach may also shed light on directionality in (...)
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  2. added 2020-02-11
    The Uncertainty Principle and Foundations of Quantum Mechanics: A Fifty Years' Survey.William Demopoulos - 1979 - Philosophy of Science 46 (2):336-338.
  3. added 2019-12-22
    Revisão de ' Os Limites Exteriores da Razão ' (The Outer Limits of Reason)Por Noson Yanofsky 403p (2013) (Revisão Revisada 2019).Michael Richard Starks - 2019 - In Delírios Utópicos Suicidas no Século XXI Filosofia, Natureza Humana e o Colapso da Civilization- Artigos e Comentários 2006-2019 5ª edição. Las Vegas, NV USA: Reality Press. pp. 188-202.
    Eu dou uma revisão detalhada de "os limites exteriores da razão" por Noson Yanofsky de uma perspectiva unificada de Wittgenstein e psicologia evolutiva. Eu indico que a dificuldade com tais questões como paradoxo na linguagem e matemática, incompletude, undecidabilidade, computabilidade, o cérebro eo universo como computadores, etc., todos surgem a partir da falta de olhar atentamente para o nosso uso da linguagem no apropriado contexto e, consequentemente, a falta de separar questões de fato científico a partir de questões de como (...)
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  4. added 2019-06-06
    The Foundations of Quantum Mechanics in the Philosophy of Nature.Grete Hermann & Dirk Lumma - 1999 - The Harvard Review of Philosophy 7 (1):35-44.
    The following article by Grete Hermann arguably occupies an important place in the history of the philosophical interpretation of of quantum mechanics. The purpose of Hermann's writing on natural philosophy is to examine the revision of the law of causality which quantum mechanics seems to require at a fundamental level of theoretical description in physics. It is Hermann's declared intention to show that quantum mechanics does not disprove the concept of causality, "yet has clarified [it] and has removed from it (...)
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  5. added 2019-06-05
    Quantum Theory and Measurement. John Archibald Wheeler, Wojciech Hubert Zurek.Nancy Cartwright - 1985 - Philosophy of Science 52 (3):480-481.
  6. added 2019-03-23
    (2019 + 2017) Strong Similarity Between Carlo Rovelli’s Ideas in Two Books (2015, 2017) to My Ideas (2002-2008) + Commentary February 2018.Gabriel Vacariu - manuscript
    After 2015, carlo rovelli continues to publish more and more UNBELIEVABLE similar ideas to my ideas!!! His arguments are UNBELIEVABLE similar to my arguments… Until 2015, carlo rovelli had been working within the unicorn world; then he realized a sudden change! I let the reader to understand carlo rovelli’s step after 2015 since I mentioned that my book at Springer has been published in November 2015!! Anyway, I have published FIVE books (2008-2014) with my EDWs, and in 2007, my entire (...)
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  7. added 2018-05-31
    Werner Heisenberg.Gregor Schiemann - 2008 - C.H. Beck.
    Gregor Schiemann führt allgemeinverständlich in das Denken dieses Physikers ein. Thema sind die Erfahrungen und Überlegungen, die Heisenberg zu seinen theoretischen Erkenntnissen geführt haben, die wesentlichen Inhalte dieser Erkenntnisse sowie die Konsequenzen, die er daraus für die Geschichte der Physik und das wissenschaftliche Weltbild gezogen hat. Heisenbergs Vorstellungswelt durchzieht durch ein Spannungsverhältnis, das heute noch das Denken vieler Wissenschaftlerinnen und Wissenschaftler bewegt. Er ist um ein umfassendes Verständnis der Naturprozesse bemüht, zugleich aber von der Berechenbarkeit und Beherrschbarkeit von Phänomenen auch (...)
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  8. added 2018-03-22
    Problem Pewności W Neokantyzmie Johannesa Volkelta.Tomasz Kubalica - 2013 - Folia Philosophica 31:133--156.
    The paper is devoted to an analysis of the epistemology of Johannes Volkelt, its main arguments and the relation of Volkelt's theory of certainty to Kant and other contemporary philosophers, such as Edmund Husserl. Volkelt's problem of scepticism is closely related to the positivist principle, which aimed at limiting all knowledge to our individual sphere of representations. This principle in Kant's Critique of Pure Reason means the unknowableness of the thing in itself. Volkelt seeks for answer to the question about (...)
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  9. added 2018-02-17
    The Principle of Uncertainty.D. Brown - 1933 - Australasian Journal of Psychology and Philosophy 11 (2):134-136.
  10. added 2017-02-11
    Momentum Conservation Decides Heisenberg's Interpretation of the Uncertainty Formulas.Th D. Angelidis - 1977 - Foundations of Physics 7 (5-6):431-449.
    The present thesis considers, in the light of Heisenberg's interpretation of the uncertainty formulas, the conditions necessary for the derivation of the quantitative statement or law of momentum conservation. The result of such considerations is a contradiction between the formalism of quantum physics and the asserted consequences of Heisenberg's interpretation. This contradiction decides against Heisenberg's interpretation of the uncertainty formulas on upholding that the formalism of quantum physics is both consistent and complete, at least insofar as the statement of momentum (...)
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  11. added 2017-02-09
    History, Hubris, and the Heisenberg Principle.David H. Burton - 1975 - Thought: Fordham University Quarterly 50 (1):84-93.
  12. added 2017-02-01
    Complementarity and Uncertainty in Mach-Zehnder Interferometry and Beyond.Paul Busch & Christopher Shilladay - unknown
    A coherent account of the connections and contrasts between the principles of complementarity and uncertainty is developed starting from a survey of the various formalizations of these principles. The conceptual analysis is illustrated by means of a set of experimental schemes based on Mach-Zehnder interferometry. In particular, path detection via entanglement with a probe system and (quantitative) quantum erasure are exhibited to constitute instances of joint unsharp measurements of complementary pairs of physical quantities, path and interference observables. The analysis uses (...)
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  13. added 2017-01-18
    Analogy Between the Theorem of Pythagoras and the Relations of Uncertainty of Heisenberg.Giuseppe Gembillo - 2007 - World Futures 63 (1):38 – 41.
    In this work I propose an analogy between Pythagoras's theorem and the logical-formal structure of Werner Heisenberg's "relations of uncertainty." The reasons that they have pushed to me to place this analogy have been determined from the following ascertainment: Often, when in exact sciences a problem of measurement precision arises, it has been resolved with the resource of the elevation to the square. To me it seems also that the aporie deriving from the uncertainty principle can find one solution with (...)
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  14. added 2017-01-18
    Reciprocity in the Uncertainty Relations.Peter Kirschenmann - 1973 - Philosophy of Science 40 (1):52-58.
    A philosophical interpretation of quantum mechanics presupposes a clear understanding of what is asserted by this theory. The aim of this paper is to help clarify one specific theorem of quantum mechanics, namely the so-called uncertainty relations. The surprisingly wide spread belief that these relations generally imply a reciprocal or inversely proportional relationship between the respective uncertainties is shown to be mistaken. Several reasons why this mistaken belief has been embraced are suggested. The conditions under which one could say that (...)
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  15. added 2016-12-12
    Time in Quantum Mechanics.Jan Hilgevoord & David Atkinson - 2001 - In Craig Callender (ed.), The Oxford Handbook of Philosophy of Time. Oxford University Press.
    Time is often said to play in quantum mechanics an essentially different role from position: whereas position is represented by a Hermitian operator, time is represented by a c-number. This discrepancy has been found puzzling and has given rise to a vast literature and many efforts at a solution. In this paper it is argued that the discrepancy is only apparent and that there is nothing in the formalism of quantum mechanics that forces us to treat position and time differently. (...)
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  16. added 2016-12-08
    New Developments on Fundamental Problems in Quantum Physics, Oviedo, Julio de 1996.Pin Víctor Gómez - 1997 - Theoria 12 (1):203-204.
  17. added 2016-10-01
    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 quantum theory to define (...)
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  18. added 2016-09-10
    Popper’s Paradoxical Pursuit of Natural Philosophy.Nicholas Maxwell - 2004 - In Jeremy Shearmur & Geoffrey Stokes (eds.), The Cambridge Companion to Popper. Cambridge University Press. pp. 170-207.
    Unlike almost all other philosophers of science, Karl Popper sought to contribute to natural philosophy or cosmology – a synthesis of science and philosophy. I consider his contributions to the philosophy of science and quantum theory in this light. There is, however, a paradox. Popper’s most famous contribution – his principle of demarcation – in driving a wedge between science and metaphysics, serves to undermine the very thing he professes to love: natural philosophy. I argue that Popper’s philosophy of science (...)
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  19. added 2016-08-29
    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 previous attempts (...)
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  20. added 2016-06-24
    The Uncertainty Relations in Quantum Mechanics.D. Sen - 2014 - Current Science 107 (7):203-218.
    The notion of uncertainty in the description of a physical system has assumed prodigious importance in the development of quantum theory. Overcoming the early misunderstanding and confusion, the concept grew continuously and still remains an active and fertile research field. Curious new insights and correlations are gained and developed in the process with the introduction of new ‘measures’ of uncertainty or indeterminacy and the development of quantum measurement theory. In this article we intend to reach a fairly uptodate status report (...)
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  21. added 2016-03-16
    Les interprétations de la mécanique quantique : une vue d'ensemble introductive.Thomas Boyer-Kassem - 2015 - Implications Philosophiques.
    La mécanique quantique est une théorie physique contemporaine réputée pour ses défis au sens commun et ses paradoxes. Depuis bientôt un siècle, plusieurs interprétations de la théorie ont été proposées par les physiciens et les philosophes, offrant des images quantiques du monde, ou des métaphysiques, radicalement différentes. L'existence d'un hasard fondamental, ou d'une multitude de mondes en-dehors du nôtre, dépend ainsi de l'interprétation adoptée. Cet article, en s'appuyant sur le livre Boyer-Kassem (2015), Qu'est-ce que la mécanique quantique ?, présente trois (...)
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  22. added 2016-03-15
    Qu'est-ce que la mécanique quantique ?Thomas Boyer-Kassem - 2015 - Vrin.
    La mécanique quantique est une théorie physique contemporaine réputée pour ses défis au sens commun et ses paradoxes. Depuis bientôt un siècle, plusieurs interprétations de la théorie ont été proposées par les physiciens et les philosophes, offrant des images quantiques du monde, ou des ontologies, radicalement différentes. L'existence d'un hasard fondamental, ou d'une multitude de mondes en-dehors du nôtre, dépend ainsi de l'interprétation adoptée. Après avoir discuté de la définition de l'interprétation d'une théorie physique, ce livre présente trois principales interprétations (...)
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  23. added 2015-04-06
    A Tèok'eletlens'eg 'Es Korl'atoss'ag Dics'erete.Sâandor Koch & Pâal Juhâasz-Nagy - 1989
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  24. added 2015-04-06
    Quantum Physics and East-West Rapprochement.C. T. K. Chari - 1955 - Philosophy East and West 5 (1):61-67.
  25. added 2015-03-23
    Quantum-Mechanical Histories and the Uncertainty Principle.J. J. Halliwell - 1995 - In M. Ferrero & A. van der Merwe (eds.), Fundamental Problems in Quantum Physics. pp. 73--113.
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  26. added 2015-03-19
    The Limits of Uncertainty: A Note.Ernest R. Alexander - 1975 - Theory and Decision 6 (3):363-370.
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  27. added 2015-02-02
    Is Indeterminism Supported by Quantum Theory?Rollin W. Workman - 1959 - Philosophy of Science 26 (3):251-259.
    Two initially different arguments for indeterminism are often based either upon the Uncertainty Relations or the statistical interpretation of the wave equation of quantum mechanics. Both arguments ultimately involve three factors: (1) the assumption that elementary entities are enough like classical particles for it to make sense to say they are either determined or indetermined, (2) the fact that no exact measurements are possible of quantities supposed to characterize elementary entities, (3) the pragmatic supposition that determinism is false unless exact (...)
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  28. added 2015-01-24
    Randomness in Classical Mechanics and Quantum Mechanics.Igor V. Volovich - 2011 - Foundations of Physics 41 (3):516-528.
    The Copenhagen interpretation of quantum mechanics assumes the existence of the classical deterministic Newtonian world. We argue that in fact the Newton determinism in classical world does not hold and in the classical mechanics there is fundamental and irreducible randomness. The classical Newtonian trajectory does not have a direct physical meaning since arbitrary real numbers are not observable. There are classical uncertainty relations: Δq>0 and Δp>0, i.e. the uncertainty (errors of observation) in the determination of coordinate and momentum is always (...)
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  29. added 2015-01-18
    The Roles of One Thought Experiment in Interpreting Quantum Mechanics. Werner Heisenberg Meets Thomas Kuhn.Maarten Van Dyck - 2003 - Philosophica 72 (3):79-103.
    Recent years saw the rise of an interest in the roles and significance of thought experiments in different areas of human thinking. Heisenberg's gamma ray microscope is no doubt one of the most famous examples of a thought experiment in physics. Nevertheless, this particular thought experiment has not received much detailed attention in the philosophical literature on thought experiments up to date, maybe because of its often claimed inadequacies. In this paper, I try to do two things: to provide an (...)
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  30. added 2015-01-17
    Quantum-Mechanical Uncertainty and the Stability of Incompatibility.Jason Zimba - 2000 - Foundations of Physics 30 (2):179-203.
    In talking about the compatibility of quantum observables, discussions often center on the question of whether the corresponding operators commute—even though commutativity is a coarse-grained notion that largely fails to capture the salient “nonclassical” features of quantum theory. Often, too, such discussions involve the issue of whether the operators in question satisfy a Heisenberg-like inequality, of the form ΔA·ΔB≥r>0—even though such inequalities are specific to unbounded operators and (for this and other reasons) are typically not a useful way to discuss (...)
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  31. added 2015-01-17
    A Quantum Mechanical Model of Consciousness and the Emergence Of?I?Danah Zohar - 1995 - Minds and Machines 5 (4):597-607.
    There have been suggestions that the unity of consciousness may be related to the kind of holism depicted only in quantum physics. This argument will be clarified and strengthened. It requires the brain to contain a quantum system with the right properties — a Bose-Einstein condensate. It probably does contain one such system, as both theory and experiment have indicated. In fact, we cannot pay full attention to a quantum whole and its parts simultaneously, though we may oscillate between the (...)
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  32. added 2015-01-16
    The Interpretation of the Einstein-Rupp Experiments and Their Influence on the History of Quantum Mechanics.Jeroen van Dongen - 2007 - Historical Studies in the Physical and Biological Sciences 37:121-131.
    The Einstein-Rupp experiments were proposed in 1926 by Albert Einstein to study the wave versus particle nature of light. Einstein presented a theoretical analysis of these experiments to the Berlin Academy together with results of Emil Rupp, who claimed to have successfully carried them out. However, as the preceding paper has shown, Rupp's success was the result of scientific fraud. This paper will argue, after exploring their interpretation, that the experiments were a relevant part of the background to such celebrated (...)
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  33. added 2015-01-15
    La Definición Del Electron En la Mecánica Cuántica (the Electron's Quantum Definition).Juan Antonio Valor - 1999 - Theoria 14 (2):339-369.
    En este trabajo presentamos una revision de la definición cuántica del elcetrón en relación con el principio de incertidumbre de Werner Heisenberg.In this paper we present a revision of the electron’s quantum definition in relation to the so called uncerrainty principle by Wenrer Heisenberg.
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  34. added 2015-01-11
    Uncertainty Principle and Uncertainty Relations.J. B. M. Uffink & Jan Hilgevoord - 1985 - Foundations of Physics 15 (9):925-944.
    It is generally believed that the uncertainty relation Δq Δp≥1/2ħ, where Δq and Δp are standard deviations, is the precise mathematical expression of the uncertainty principle for position and momentum in quantum mechanics. We show that actually it is not possible to derive from this relation two central claims of the uncertainty principle, namely, the impossibility of an arbitrarily sharp specification of both position and momentum (as in the single-slit diffraction experiment), and the impossibility of the determination of the path (...)
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  35. added 2015-01-04
    The Einstein Shift in Einstein's Box Experiment.H. -J. Treder - 1975 - Foundations of Physics 5 (1):135-142.
    The question of whether the Einstein shift in clock rates has a bearing on the validity of the fourth Heisenberg uncertainty relation is discussed. It is shown that, even if one would accept all the relevant assumptions and conclusions of Bohr and Rosenfeld, this uncertainty relation could not be saved by an Einstein shift in the case of an electrostatic weighing. This means that the Einstein shift does not play any role in determining the validity of the fourth Heisenberg relation.
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  36. added 2015-01-01
    The Obama-Tribe 'Curvature of Constitutional Space' Paper is Crackpot Physics.Frank J. Tipler - unknown
    The Harvard Law School professor Laurence Tribe published a paper entitled "The Curvature of Constitutional Space," wherein he argued that the strict constructionist interpretations of the U.S. Constitution were obsolete, being based on a Newtonian world-view, and need to be replaced by a more modern relativistic and quantum mechanical world-view. I shall show on the contrary that in using general relativity and quantum mechanics, we have never left the Newtonian world-view. It was shown in 1923 by the greatest geometer of (...)
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  37. added 2014-12-30
    A Modified Set of Feynman Postulates in Quantum Mechanics.V. K. Thankappan & P. Gopalakrishna Nambi - 1980 - Foundations of Physics 10 (3-4):217-236.
    Certain modifications, by way of improvement, are proposed for the Feynman postulates in quantum mechanics. These modifications incorporate a criterion for the applicability of the principle of superposition. It is shown that the modified postulates, together with certain assumptions regarding the trajectory of a particle, lead to an expression for the position-momentum uncertainty relationship which is broadly in agreement with the conventional expression. The time-energy uncertainty relationship is, however, found to have a likely place only in the relativistic theory. A (...)
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  38. added 2014-12-29
    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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  39. added 2014-12-23
    The Unconscious Quantum: Metaphysics in Modern Physics and Cosmology.Victor J. Stenger - 1995 - Prometheus Books.
    In this fascinating and accessible book, physicist Victor J. Stenger guides the lay reader through the key developments of quantum mechanics and the debate over its apparent paradoxes. In the process, he critically appraises recent metaphysical fads. Dr. Stenger's knack for elucidating scientific ideas and controversies in language that the nonspecialist can comprehend opens up to the widest possible audience a wealth of information on the most important findings of contemporary physics.
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  40. added 2014-11-26
    A Microrealistic Explanation of Fundamental Quantum Phenomena.C. W. Rietdijk - 1980 - Foundations of Physics 10 (5-6):403-457.
    We abandon as redundant the assumption that there exists something more in the physical world than action quanta, which constitute the atoms of the events of which the four-dimensional world consists. We derive metric, energy, matter, etc., from action and the structure formed by the quanta. In the microworld thequantization of space so introduced implies deviations from conventional metrics that make it possible in particular to explain nonlocality. The uncertainty relations, then, in conjunction with the action-based metric, appear to play (...)
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  41. added 2014-11-25
    Controversial Problems of Measurements Within Quantum Mechanics.J. Rayski - 1979 - Foundations of Physics 9 (3-4):217-236.
    It is explained why quantum mechanics applies principally to single systems and not to ensembles. A thorough analysis of thought-experiments shows clearly that irreversibility is connected with the storing of information rather than with the act of measurement. In order to avoid paradoxes one has to admit that the wave function does not represent the state of the system in itself, but information acquired in consequence of a complete measurement. The meaning of the time-energy uncertainty relation for stable systems is (...)
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  42. added 2014-11-24
    On the Failure of the Time-Energy Uncertainty Principle.Rafael Sorkin - 1979 - Foundations of Physics 9 (1-2):123-128.
    We establish, for the quantum system made up of a single free particle, the formula ΔE Δt≳(v/c) ħ, where ΔE is the precision to whichE can be ascertained in time Δt. The measurement can be carried out with zero disturbance inE itself.
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  43. added 2014-11-23
    Towards a Galoisian Lnterpretation of Heisenberg Lndeterminacy Principle.Julien Page & Gabriel Catren - 2014 - Foundations of Physics 44 (12):1289-1301.
    We revisit Heisenberg indeterminacy principle in the light of the Galois–Grothendieck theory for the case of finite abelian Galois extensions. In this restricted framework, the Galois–Grothendieck duality between finite K-algebras split by a Galois extension \ and finite \\) -sets can be reformulated as a Pontryagin duality between two abelian groups. We define a Galoisian quantum model in which the Heisenberg indeterminacy principle can be understood as a manifestation of a Galoisian duality: the larger the group of automorphisms \ of (...)
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  44. added 2014-11-22
    Probability Concepts in Quantum Mechanics.Patrick Suppes - 1961 - Philosophy of Science 28 (4):378-389.
    The fundamental problem considered is that of the existence of a joint probability distribution for momentum and position at a given instant. The philosophical interest of this problem is that for the potential energy functions (or Hamiltonians) corresponding to many simple experimental situations, the joint "distribution" derived by the methods of Wigner and Moyal is not a genuine probability distribution at all. The implications of these results for the interpretation of the Heisenberg uncertainty principle are analyzed. The final section consists (...)
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  45. added 2014-11-19
    Uncertainty About Determinism: A Critical Review of Challenges to the Determinism of Modern Science.Lawrence E. Fraley - 1994 - Behavior and Philosophy 22 (2):71 - 83.
    Contemporary scientific determinism is a grand induction from scientific experience. Limitations on measurement of the kind represented by the Heisenberg uncertainty principle have thrown doubt on deterministic philosophy. But the case against determinism does not stand examination. Scientific support for deterministic philosophy continues to be justified.
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  46. added 2014-11-17
    The Theory of the Time-Energy Relationship: A Scientific Treatise.Robert George Mertens - 1996 - Gamma Pub. Co..
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  47. added 2014-11-15
    Continuous Quantum Measurements and the Action Uncertainty Principle.Michael B. Mensky - 1992 - Foundations of Physics 22 (9):1173-1193.
    The path-integral approach to quantum theory of continuous measurements has been developed in preceding works of the author. According to this approach the measurement amplitude determining probabilities of different outputs of the measurement can be evaluated in the form of a restricted path integral (a path integral “in finite limits”). With the help of the measurement amplitude, maximum deviation of measurement outputs from the classical one can be easily determined. The aim of the present paper is to express this variance (...)
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  48. added 2014-11-15
    The Physical Principles of the Quantum Theory.Donald H. Menzel & David Layzer - 1949 - Philosophy of Science 16 (4):303-324.
  49. added 2014-11-01
    Probability Description and Entropy of Classical and Quantum Systems.Margarita A. Man’ko & Vladimir I. Man’ko - 2011 - Foundations of Physics 41 (3):330-344.
    Tomographic approach to describing both the states in classical statistical mechanics and the states in quantum mechanics using the fair probability distributions is reviewed. The entropy associated with the probability distribution (tomographic entropy) for classical and quantum systems is studied. The experimental possibility to check the inequalities like the position–momentum uncertainty relations and entropic uncertainty relations are considered.
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  50. added 2014-10-28
    About Conditional Probabilities of Events Regarding the Quantum Mechanical Measurement Process.Thomas Schürmann - unknown
    We consider the successive measurement of position and momentum of a single particle. Let P be the conditional probability to measure the momentum with precision dk, given a previously successful position measurement of precision dq. Several upper bounds of the probability P are derived. For arbitrary, but given precisions dq and dk, these bounds refer to the variation of the state vector of the particle. The first bound is given by the inequality P<=dkdq/h, where h is Planck's quantum of action. (...)
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1 — 50 / 128