Results for 'Hilbert arithmetic, probabilistic interpretation of quantum mechanics'

1000+ found
Order:
  1. The 'Noncausal Causality' of Quantum Information.Vasil Penchev - 2021 - Philosophy of Science eJournal (Elsevier: SSRN) 14 (45):1-7.
    The paper is concentrated on the special changes of the conception of causality from quantum mechanics to quantum information meaning as a background the revolution implemented by the former to classical physics and science after Max Born’s probabilistic reinterpretation of wave function. Those changes can be enumerated so: (1) quantum information describes the general case of the relation of two wave functions, and particularly, the causal amendment of a single one; (2) it keeps the physical (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  2. Why the Many-Worlds Interpretation of Quantum Mechanics Needs More Than Hilbert Space Structure.Meir Hemmo & Orly Shenker - 2020 - In Scientific Challenges to Common Sense Philosophy. Oxford: pp. 61-70.
    McQueen and Vaidman argue that the Many Worlds Interpretation (MWI) of quantum mechanics provides local causal explanations of the outcomes of experiments in our experience that is due to the total effect of all the worlds together. We show that although the explanation is local in one world, it requires a causal influence that travels across different worlds. We further argue that in the MWI the local nature of our experience is not derivable from the Hilbert (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  3. Fermat’s Last Theorem Proved in Hilbert Arithmetic. III. The Quantum-Information Unification of Fermat’s Last Theorem and Gleason’s Theorem.Vasil Penchev - 2022 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 14 (12):1-30.
    The previous two parts of the paper demonstrate that the interpretation of Fermat’s last theorem (FLT) in Hilbert arithmetic meant both in a narrow sense and in a wide sense can suggest a proof by induction in Part I and by means of the Kochen - Specker theorem in Part II. The same interpretation can serve also for a proof FLT based on Gleason’s theorem and partly similar to that in Part II. The concept of (probabilistic) (...)
    Download  
     
    Export citation  
     
    Bookmark  
  4. 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 (...)
    Download  
     
    Export citation  
     
    Bookmark  
  5. A Simple Proof of Born’s Rule for Statistical Interpretation of Quantum Mechanics.Biswaranjan Dikshit - 2017 - Journal for Foundations and Applications of Physics 4 (1):24-30.
    The Born’s rule to interpret the square of wave function as the probability to get a specific value in measurement has been accepted as a postulate in foundations of quantum mechanics. Although there have been so many attempts at deriving this rule theoretically using different approaches such as frequency operator approach, many-world theory, Bayesian probability and envariance, literature shows that arguments in each of these methods are circular. In view of absence of a convincing theoretical proof, recently some (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  6. If Quantum Mechanics Is the Solution, What Should the Problem Be?Vasil Penchev - 2020 - Philosophy of Science eJournal (Elsevier: SSRN) 13 (32):1-10.
    The paper addresses the problem, which quantum mechanics resolves in fact. Its viewpoint suggests that the crucial link of time and its course is omitted in understanding the problem. The common interpretation underlain by the history of quantum mechanics sees discreteness only on the Plank scale, which is transformed into continuity and even smoothness on the macroscopic scale. That approach is fraught with a series of seeming paradoxes. It suggests that the present mathematical formalism of (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  7.  63
    Hilbert Arithmetic as a Pythagorean Arithmetic: Arithmetic as Transcendental.Vasil Penchev - 2021 - Philosophy of Science eJournal (Elsevier: SSRN) 14 (54):1-24.
    The paper considers a generalization of Peano arithmetic, Hilbert arithmetic as the basis of the world in a Pythagorean manner. Hilbert arithmetic unifies the foundations of mathematics (Peano arithmetic and set theory), foundations of physics (quantum mechanics and information), and philosophical transcendentalism (Husserl’s phenomenology) into a formal theory and mathematical structure literally following Husserl’s tracе of “philosophy as a rigorous science”. In the pathway to that objective, Hilbert arithmetic identifies by itself information related to finite (...)
    Download  
     
    Export citation  
     
    Bookmark  
  8. What the Tortoise Said to Achilles: Lewis Carroll’s Paradox in Terms of Hilbert Arithmetic.Vasil Penchev - 2021 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 13 (22):1-32.
    Lewis Carroll, both logician and writer, suggested a logical paradox containing furthermore two connotations (connotations or metaphors are inherent in literature rather than in mathematics or logics). The paradox itself refers to implication demonstrating that an intermediate implication can be always inserted in an implication therefore postponing its ultimate conclusion for the next step and those insertions can be iteratively and indefinitely added ad lib, as if ad infinitum. Both connotations clear up links due to the shared formal structure with (...)
    Download  
     
    Export citation  
     
    Bookmark  
  9.  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 (...)
    Download  
     
    Export citation  
     
    Bookmark  
  10.  44
    The Symmetries of Quantum and Classical Information. The Ressurrected “Ether" of Quantum Information.Vasil Penchev - 2021 - Philosophy of Science eJournal (Elsevier: SSRN) 14 (41):1-36.
    The paper considers the symmetries of a bit of information corresponding to one, two or three qubits of quantum information and identifiable as the three basic symmetries of the Standard model, U(1), SU(2), and SU(3) accordingly. They refer to “empty qubits” (or the free variable of quantum information), i.e. those in which no point is chosen (recorded). The choice of a certain point violates those symmetries. It can be represented furthermore as the choice of a privileged reference frame (...)
    Download  
     
    Export citation  
     
    Bookmark   8 citations  
  11.  7
    Follow the Math!: The Mathematics of Quantum Mechanics as the Mathematics of Set Partitions Linearized to (Hilbert) Vector Spaces.David Ellerman - 2022 - Foundations of Physics 52 (5):1-40.
    The purpose of this paper is to show that the mathematics of quantum mechanics is the mathematics of set partitions linearized to vector spaces, particularly in Hilbert spaces. That is, the math of QM is the Hilbert space version of the math to describe objective indefiniteness that at the set level is the math of partitions. The key analytical concepts are definiteness versus indefiniteness, distinctions versus indistinctions, and distinguishability versus indistinguishability. The key machinery to go from (...)
    Download  
     
    Export citation  
     
    Bookmark  
  12.  55
    Fermat’s Last Theorem Proved in Hilbert Arithmetic. II. Its Proof in Hilbert Arithmetic by the Kochen-Specker Theorem with or Without Induction.Vasil Penchev - 2022 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 14 (10):1-52.
    The paper is a continuation of another paper published as Part I. Now, the case of “n=3” is inferred as a corollary from the Kochen and Specker theorem (1967): the eventual solutions of Fermat’s equation for “n=3” would correspond to an admissible disjunctive division of qubit into two absolutely independent parts therefore versus the contextuality of any qubit, implied by the Kochen – Specker theorem. Incommensurability (implied by the absence of hidden variables) is considered as dual to quantum contextuality. (...)
    Download  
     
    Export citation  
     
    Bookmark  
  13. The Minimal Modal Interpretation of Quantum Theory.Jacob Barandes & David Kagan - manuscript
    We introduce a realist, unextravagant interpretation of quantum theory that builds on the existing physical structure of the theory and allows experiments to have definite outcomes but leaves the theory’s basic dynamical content essentially intact. Much as classical systems have specific states that evolve along definite trajectories through configuration spaces, the traditional formulation of quantum theory permits assuming that closed quantum systems have specific states that evolve unitarily along definite trajectories through Hilbert spaces, and our (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  14.  38
    Gentzen’s “Cut Rule” and Quantum Measurement in Terms of Hilbert Arithmetic. Metaphor and Understanding Modeled Formally.Vasil Penchev - 2022 - Logic and Philosophy of Mathematics eJournal 14 (14):1-37.
    Hilbert arithmetic in a wide sense, including Hilbert arithmetic in a narrow sense consisting by two dual and anti-isometric Peano arithmetics, on the one hand, and the qubit Hilbert space (originating for the standard separable complex Hilbert space of quantum mechanics), on the other hand, allows for an arithmetic version of Gentzen’s cut elimination and quantum measurement to be described uniformy as two processes occurring accordingly in those two branches. A philosophical reflection also (...)
    Download  
     
    Export citation  
     
    Bookmark  
  15.  76
    A Synopsis of the Minimal Modal Interpretation of Quantum Theory.Jacob Barandes & David Kagan - manuscript
    We summarize a new realist, unextravagant interpretation of quantum theory that builds on the existing physical structure of the theory and allows experiments to have definite outcomes but leaves the theory's basic dynamical content essentially intact. Much as classical systems have specific states that evolve along definite trajectories through configuration spaces, the traditional formulation of quantum theory permits assuming that closed quantum systems have specific states that evolve unitarily along definite trajectories through Hilbert spaces, and (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  16.  88
    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 (...)
    Download  
     
    Export citation  
     
    Bookmark  
  17. The Relationship of Arithmetic As Two Twin Peano Arithmetic(s) and Set Theory: A New Glance From the Theory of Information.Vasil Penchev - 2020 - Metaphilosophy eJournal (Elseviers: SSRN) 12 (10):1-33.
    The paper introduces and utilizes a few new concepts: “nonstandard Peano arithmetic”, “complementary Peano arithmetic”, “Hilbert arithmetic”. They identify the foundations of both mathematics and physics demonstrating the equivalence of the newly introduced Hilbert arithmetic and the separable complex Hilbert space of quantum mechanics in turn underlying physics and all the world. That new both mathematical and physical ground can be recognized as information complemented and generalized by quantum information. A few fundamental mathematical problems (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  18. The Quantum Strategy of Completeness: On the Self-Foundation of Mathematics.Vasil Penchev - 2020 - Cultural Anthropology eJournal (Elsevier: SSRN) 5 (136):1-12.
    Gentzen’s approach by transfinite induction and that of intuitionist Heyting arithmetic to completeness and the self-foundation of mathematics are compared and opposed to the Gödel incompleteness results as to Peano arithmetic. Quantum mechanics involves infinity by Hilbert space, but it is finitist as any experimental science. The absence of hidden variables in it interpretable as its completeness should resurrect Hilbert’s finitism at the cost of relevant modification of the latter already hinted by intuitionism and Gentzen’s approaches (...)
    Download  
     
    Export citation  
     
    Bookmark  
  19. What Is Quantum Information? Information Symmetry and Mechanical Motion.Vasil Penchev - 2020 - Information Theory and Research eJournal (Elsevier: SSRN) 1 (20):1-7.
    The concept of quantum information is introduced as both normed superposition of two orthogonal sub-spaces of the separable complex Hilbert space and in-variance of Hamilton and Lagrange representation of any mechanical system. The base is the isomorphism of the standard introduction and the representation of a qubit to a 3D unit ball, in which two points are chosen. The separable complex Hilbert space is considered as the free variable of quantum information and any point in it (...)
    Download  
     
    Export citation  
     
    Bookmark  
  20. A New Look at the Quantum Mechanical Problem of Measurement.Nicholas Maxwell - 1972 - American Journal of Physics 40:1431-5..
    According to orthodox quantum mechanics, state vectors change in two incompatible ways: "deterministically" in accordance with Schroedinger's time-dependent equation, and probabilistically if and only if a measurement is made. It is argued here that the problem of measurement arises because the precise mutually exclusive conditions for these two types of transitions to occur are not specified within orthodox quantum mechanics. Fundamentally, this is due to an inevitable ambiguity in the notion of "meawurement" itself. Hence, if the (...)
    Download  
     
    Export citation  
     
    Bookmark   17 citations  
  21. A Model of Causal and Probabilistic Reasoning in Frame Semantics.Vasil Penchev - 2020 - Semantics eJournal (Elsevier: SSRN) 2 (18):1-4.
    Quantum mechanics admits a “linguistic interpretation” if one equates preliminary any quantum state of some whether quantum entity or word, i.e. a wave function interpret-able as an element of the separable complex Hilbert space. All possible Feynman pathways can link to each other any two semantic units such as words or term in any theory. Then, the causal reasoning would correspond to the case of classical mechanics (a single trajectory, in which any next (...)
    Download  
     
    Export citation  
     
    Bookmark  
  22.  20
    Об интерпретации квантовой механики (On interpretation of quantum mechanics).Francois-Igor Pris - 2022 - ФИЛОСОФИЯ НАУКИ 2 (93):75-94.
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  23. Interpretations of Quantum Mechanics and Emptiness.Michele Caponigro & Ravi Prakash - 2009 - NeuroQuantology Journal, June 2009 7 (2):198-203.
    The underlying physical reality is a central notion in the interpretations of quantum mechanics. The a priori physical reality notion affects the corresponding interpretation. This paper explore the possibility to establish a relationship between philosophical concept of physical reality in Nagarjuna's epistemology (emptiness) and the picture of underlying physical reality in Einstein, Rovelli and Zeilinger positions. This analysis brings us to conclude that the notion of property of a quantum object is untenable. We can only speak (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  24. Two Strategies to Infinity: Completeness and Incompleteness. The Completeness of Quantum Mechanics.Vasil Penchev - 2020 - High Performance Computing eJournal 12 (11):1-8.
    Two strategies to infinity are equally relevant for it is as universal and thus complete as open and thus incomplete. Quantum mechanics is forced to introduce infinity implicitly by Hilbert space, on which is founded its formalism. One can demonstrate that essential properties of quantum information, entanglement, and quantum computer originate directly from infinity once it is involved in quantum mechanics. Thus, thеse phenomena can be elucidated as both complete and incomplete, after which (...)
    Download  
     
    Export citation  
     
    Bookmark  
  25.  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 (...)
    Download  
     
    Export citation  
     
    Bookmark  
  26. The Consistent Histories Interpretation of Quantum Mechanics.Edward MacKinnon - unknown
    The consistent histories reformulation of quantum mechanics was developed by Robert Griffiths, given a formal logical systematization by Roland Omn\`{e}s, and under the label `decoherent histories', was independently developed by Murray Gell-Mann and James Hartle and extended to quantum cosmology. Criticisms of CH involve issues of meaning, truth, objectivity, and coherence, a mixture of philosophy and physics. We will briefly consider the original formulation of CH and some basic objections. The reply to these objections, like the objections (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  27. Zeno Goes to Copenhagen: A Dilemma for Measurement-Collapse Interpretations of Quantum Mechanics.David J. Chalmers & Kelvin J. McQueen - forthcoming - In M. C. Kafatos, D. Banerji & D. C. Struppa (eds.), Quantum and Consciousness Revisited. DK Publisher.
    A familiar interpretation of quantum mechanics (one of a number of views sometimes labeled the "Copenhagen interpretation'"), takes its empirical apparatus at face value, holding that the quantum wave function evolves by the Schrödinger equation except on certain occasions of measurement, when it collapses into a new state according to the Born rule. This interpretation is widely rejected, primarily because it faces the measurement problem: "measurement" is too imprecise for use in a fundamental physical (...)
    Download  
     
    Export citation  
     
    Bookmark  
  28.  55
    “Two Bits Less” After Quantum-Information Conservation and Their Interpretation as “Distinguishability / Indistinguishability” and “Classical / Quantum”.Vasil Penchev - 2021 - Philosophy of Science eJournal (Elsevier: SSRN) 14 (46):1-7.
    The paper investigates the understanding of quantum indistinguishability after quantum information in comparison with the “classical” quantum mechanics based on the separable complex Hilbert space. The two oppositions, correspondingly “distinguishability / indistinguishability” and “classical / quantum”, available implicitly in the concept of quantum indistinguishability can be interpreted as two “missing” bits of classical information, which are to be added after teleportation of quantum information to be restored the initial state unambiguously. That new (...)
    Download  
     
    Export citation  
     
    Bookmark  
  29. Philosophy and Interpretations of Quantum Mechanics.Michele Caponigro - manuscript
    This paper is a critical suvery on the philosophy and the Interpretations of Quantum Mechanics.
    Download  
     
    Export citation  
     
    Bookmark  
  30.  53
    Quantum Information as the Information of Infinite Collections or Series.Vasil Penchev - 2020 - Information Theory and Research eJournal (Elsevier: SSRN) 1 (14):1-8.
    The quantum information introduced by quantum mechanics is equivalent to a certain generalization of classical information: from finite to infinite series or collections. The quantity of information is the quantity of choices measured in the units of elementary choice. The “qubit”, can be interpreted as that generalization of “bit”, which is a choice among a continuum of alternatives. The axiom of choice is necessary for quantum information. The coherent state is transformed into a well-ordered series of (...)
    Download  
     
    Export citation  
     
    Bookmark  
  31. 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 natural to (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  32. 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 (...)
    Download  
     
    Export citation  
     
    Bookmark  
  33. Consciousness Studies and Quantum Mechanics.Varanasi Ramabrahmam - 2017 - Http://Scsiscs.Org/Conference/Scienceandscientist/2017/ 5:165-171.
    The limitations and unsuitability of the twentieth century intellectual marvel, the quantum mechanics for the task of unraveling working of human consciousness is critically analyzed. The inbuilt traits of the probabilistic, approximate and imprecise nature of quantum mechanical approach are brought out. -/- The limitations and the unsuitability of using such knowledge for the understanding of precise, correct, finite and definite happenings of activities relating to human consciousness and mind, which are not quantum in nature, (...)
    Download  
     
    Export citation  
     
    Bookmark  
  34.  41
    Selected Problems in Realist Interpretations of Quantum Mechanics and a Novel Suggestion.Paul Merriam - manuscript
    In this short paper I suggest a few properties a good realist interpretation of quantum mechanics ought to have. Then I canvass several interpretations, most of which do not have these properties, and further suggest problems specific to each one. Then I give a reference to a novel interpretation that solves all of these problems.
    Download  
     
    Export citation  
     
    Bookmark  
  35.  15
    Can Quantum Mechanics Solve the Hard Problem of Consciousness?Basil J. Hiley & Paavo Pylkkänen - 2022 - In Shan Gao (ed.), Consciousness and Quantum Mechanics. Oxford, UK:
    The hard problem of consciousness is the problem of explaining how and why physical processes give rise to consciousness (Chalmers 1995). Regardless of many attempts to solve the problem, there is still no commonly agreed solution. It is thus very likely that some radically new ideas are required if we are to make any progress. In this paper we turn to quantum theory to find out whether it has anything to offer in our attempts to understand the place of (...)
    Download  
     
    Export citation  
     
    Bookmark  
  36. 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 (...)
    Download  
     
    Export citation  
     
    Bookmark  
  37. “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 (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark   5 citations  
  38. Pan(Proto)Psychism and the Relative-State Interpretation of Quantum Mechanics.Yu Feng - manuscript
    This paper connects the hard problem of consciousness to the interpretation of quantum mechanics. It shows that constitutive Russellian pan(proto)psychism (CRP) is compatible with Everett’s relative-state (RS) interpretation. Despite targeting different problems, CRP and RS are related, for they both establish symmetry between micro- and macrosystems, and both call for a deflationary account of Subject. The paper starts from formal arguments that demonstrate the incompatibility of CRP with alternative interpretations of quantum mechanics, followed by (...)
    Download  
     
    Export citation  
     
    Bookmark  
  39. 'Charge Without Charge' in the Stochastic Interpretation of Quantum Mechanics.Mark Sharlow - 2007
    In this note I examine some implications of stochastic interpretations of quantum mechanics for the concept of "charge without charge" presented by Wheeler and Misner. I argue that if a stochastic interpretation of quantum mechanics were correct, then certain shortcomings of the "charge without charge" concept could be overcome.
    Download  
     
    Export citation  
     
    Bookmark  
  40.  75
    On contextual "democratization" of the Copenhagen interpretation of quantum mechanics.Francois-Igor Pris - 2020 - In Второй Международный Конгресс Русского общества истории и философии науки. «Наука как общественное благо.» Том 1. Сборник статей. / ред.: И. Т. Касавин, Л. В. Шиповалова. – Москва: Издательство РОИФН,. Moscow, Russia: pp. 128-131.
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  41. 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 (...) of quantum theory to define the probability of equality between two arbitrary observables in an arbitrary state. We apply this new interpretation to quantum measurement theory, and establish a logical basis for the difference between simultaneous measurability and simultaneous determinateness. (shrink)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  42.  36
    Impact of Relativity Theory and Quantum Mechanics on Philosophy.Devinder Pal Singh - 1988 - In H. S. Virk (ed.), History and Philosophy of Science. Amritsar, Punjab, India: pp. 67-77.
    In present times, Science has undergone a drastic change due to the critical examination of its methods of acquiring scientific knowledge. It has become more and more contiguous to philosophy. Relativity theory and Quantum Mechanics have revolutionized our concepts of classical physics in their analysis of matter and have created not only a new mathematical symbolism but a revision of a large number of its basic concepts. Relativity has shown that all material objects and processes exist in the (...)
    Download  
     
    Export citation  
     
    Bookmark  
  43.  42
    All Science as Rigorous Science: The Principle of Constructive Mathematizability of Any Theory.Vasil Penchev - 2020 - Logic and Philosophy of Mathematics eJournal 12 (12):1-15.
    A principle, according to which any scientific theory can be mathematized, is investigated. Social science, liberal arts, history, and philosophy are meant first of all. That kind of theory is presupposed to be a consistent text, which can be exhaustedly represented by a certain mathematical structure constructively. In thus used, the term “theory” includes all hypotheses as yet unconfirmed as already rejected. The investigation of the sketch of a possible proof of the principle demonstrates that it should be accepted rather (...)
    Download  
     
    Export citation  
     
    Bookmark  
  44.  21
    Philosophical Derivation(?) of the ‘Presentist Fragmentalist’ Interpretation of Quantum Mechanics.Paul Merriam - manuscript
    We give the derivation, as opposed to justification, of the Presentist Fragmentalist interpretation of quantum mechanics in perhaps its most basic form, and then several other considerations.
    Download  
     
    Export citation  
     
    Bookmark  
  45. Scientific Realism Meets Metaphysics of Quantum Mechanics.Juha Saatsi - 2017 - In Philosophers Think About Quantum Theory.
    I examine the epistemological debate on scientific realism in the context of quantum physics, focusing on the empirical underdetermin- ation of different formulations and interpretations of QM. I will argue that much of the interpretational, metaphysical work on QM tran- scends the kinds of realist commitments that are well-motivated in the light of the history of science. I sketch a way of demarcating empirically well-confirmed aspects of QM from speculative quantum metaphysics in a way that coheres with anti-realist (...)
    Download  
     
    Export citation  
     
    Bookmark   5 citations  
  46. Interpreting Quantum Mechanics and Predictability in Terms of Facts About the Universe.Andrew Knight - manuscript
    A potentially new interpretation of quantum mechanics posits the state of the universe as a consistent set of facts that are instantiated in the correlations among entangled objects. A fact (or event) occurs exactly when the number or density of future possibilities decreases, and a quantum superposition exists if and only if the facts of the universe are consistent with the superposition. The interpretation sheds light on both in-principle and real-world predictability of the universe.
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  47.  76
    SINGULARITIES About Fuzzy Time- Particle Interpretation of Quantum Mechanics (It is Not an Innocent One!) Version Two.Farzad Didehvar - manuscript
    Here, we show that by accepting Fuzzy time-Particle interpretation of Quantum Mechanics, the singularities in the new Model are vanished.
    Download  
     
    Export citation  
     
    Bookmark  
  48.  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 (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  49.  72
    Does Accepting Fuzzy Time-Particle Interpretation of Quantum Mechanics, Refute the Other Interpretations? (Is Fuzziness of Time Checkable Experimentally?).Farzad Didehvar - manuscript
    Throughout this paper, in a nutshell we try to show a way to check Fuzzy time in general and Fuzzy time-Particle interpretation of Quantum Mechanics, experimentally. . -/- .
    Download  
     
    Export citation  
     
    Bookmark  
  50.  42
    Impact of Relativity Theory and Quantum Mechanics on Philosophy.Devinder Pal Singh - 1988 - Bulletin of Indian Association of Physics Teachers 5 (5):155-159.
    In present times, Science has become more and more contiguous to philosophy due to the advent of Relativity theory and Quantum Mechanics. Relativity has modified our concepts of mass, length, force, law of addition of velocities and simultaneity and has given a new interpretation of the laws of conservation of energy and momentum. It has demonstrated the inner necessity of the idea of dialectic contradiction in the theoretical development of the contents of physics. Quantum Mechanics (...)
    Download  
     
    Export citation  
     
    Bookmark  
1 — 50 / 1000