Results for 'Quantum theory, foundations'

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  1.  70
    Quantum Field Theory: An Introduction.Ryan Reece - manuscript
    This document is a set of notes I took on QFT as a graduate student at the University of Pennsylvania, mainly inspired in lectures by Burt Ovrut, but also working through Peskin and Schroeder (1995), as well as David Tong’s lecture notes available online. They take a slow pedagogical approach to introducing classical field theory, Noether’s theorem, the principles of quantum mechanics, scattering theory, and culminating in the derivation of Feynman diagrams.
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  2. Conservation of Information and the Foundations of Quantum Mechanics.Giulio Chiribella & Carlo Maria Scandolo - 2015 - EPJ Web of Conferences 95:03003.
    We review a recent approach to the foundations of quantum mechanics inspired by quantum information theory. The approach is based on a general framework, which allows one to address a large class of physical theories which share basic information-theoretic features. We first illustrate two very primitive features, expressed by the axioms of causality and purity-preservation, which are satisfied by both classical and quantum theory. We then discuss the axiom of purification, which expresses a strong version of (...)
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  3. Quantum Mechanics as a Deterministic Theory of a Continuum of Worlds.Kim Joris Boström - 2015 - Quantum Studies: Mathematics and Foundations 2 (3):315-347.
    A non-relativistic quantum mechanical theory is proposed that describes the universe as a continuum of worlds whose mutual interference gives rise to quantum phenomena. A logical framework is introduced to properly deal with propositions about objects in a multiplicity of worlds. In this logical framework, the continuum of worlds is treated in analogy to the continuum of time points; both “time” and “world” are considered as mutually independent modes of existence. The theory combines elements of Bohmian mechanics and (...)
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  4. Transaction and Non Locality in Quantum Field Theory.Ignazio Licata - forthcoming - Europ. Phys. J.
    The most part of the debates on Quantum Mechanics (QM) interpretation come out from the remains of a classical language based upon waves and particles. Such problems can find a decisive clarification in Quantum Field Theory (QFT), where the concept of “classical object” is replaced by an interaction networks. On the other hand, it is simpler to discuss about non-locality in QM than in QFT. We propose here the concept of transaction as a connection between theQM and QFT (...)
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  5.  51
    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 (...) 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)
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  6. An Investigation on the Basic Conceptual Foundations of Quantum Mechanics by Using the Clifford Algebra.Elio Conte - 2011 - Advanced Studies in Theoretical Physics 5 (11):485-544.
    We review our approach to quantum mechanics adding also some new interesting results. We start by giving proof of two important theorems on the existence of the A(Si) and i,±1 N Clifford algebras. This last algebra gives proof of the von Neumann basic postulates on the quantum measurement explaining thus in an algebraic manner the wave function collapse postulated in standard quantum theory. In this manner we reach the objective to expose a self-consistent version of quantum (...)
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  7. A New Quantum Theoretical Framework for Parapsychology.Chris Clarke - 2008 - European Journal of Parapsychology 23 (1):3-30.
    An account is given of a recent proposal to complete modern quantum theory by adding a characterisation of consciousness. The resulting theory is applied to give mechanisms for typical parapsychological phenomena, and ways of testing it are discussed.
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  8. Chasing Individuation: Mathematical Description of Physical Systems.Zalamea Federico - 2016 - Dissertation, Paris Diderot University
    This work is a conceptual analysis of certain recent developments in the mathematical foundations of Classical and Quantum Mechanics which have allowed to formulate both theories in a common language. From the algebraic point of view, the set of observables of a physical system, be it classical or quantum, is described by a Jordan-Lie algebra. From the geometric point of view, the space of states of any system is described by a uniform Poisson space with transition probability. (...)
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  9. Information, Physics, Quantum: The Search for Links.John Archibald Wheeler - 1989 - In Proceedings III International Symposium on Foundations of Quantum Mechanics. Tokyo: pp. 354-358.
    This report reviews what quantum physics and information theory have to tell us about the age-old question, How come existence? No escape is evident from four conclusions: (1) The world cannot be a giant machine, ruled by any preestablished continuum physical law. (2) There is no such thing at the microscopic level as space or time or spacetime continuum. (3) The familiar probability function or functional, and wave equation or functional wave equation, of standard quantum theory provide mere (...)
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  10. How Quantum Theory Helps Us Explain.Richard Healey - 2012 - British Journal for the Philosophy of Science (1):axt031.
    I offer an account of how the quantum theory we have helps us explain so much. The account depends on a pragmatist interpretation of the theory: this takes a quantum state to serve as a source of sound advice to physically situated agents on the content and appropriate degree of belief about matters concerning which they are currently inevitably ignorant. The general account of how to use quantum states and probabilities to explain otherwise puzzling regularities is then (...)
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  11.  23
    Derivation of the Quantum Mechanical Momentum Operator in the Position Representation.Ryan Reece - manuscript
    I pedagogically show that the momentum operator in quantum mechanics, in the position representation, commonly known to be a derivative with respect to a spatial x-coordinate, can be derived by identifying momentum as the generator of space translations.
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  12. Relativity Theory May Not Have the Last Word on the Nature of Time: Quantum Theory and Probabilism.Nicholas Maxwell - 2017 - In G. Ghirardi & S. Wuppulur (eds.), Space, Time and the Limits of Human Understanding. Springer. pp. 109-124.
    Two radically different views about time are possible. According to the first, the universe is three dimensional. It has a past and a future, but that does not mean it is spread out in time as it is spread out in the three dimensions of space. This view requires that there is an unambiguous, absolute, cosmic-wide "now" at each instant. According to the second view about time, the universe is four dimensional. It is spread out in both space and time (...)
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  13. Does Orthodox Quantum Theory Undermine, or Support, Scientific Realism?Nicholas Maxwell - 1993 - Philosophical Quarterly 44 (171):139-157.
    It is usually taken for granted that orthodox quantum theory poses a serious problem for scientific realism, in that the theory is empirically extraordinarily successful, and yet has instrumentalism built into it. This paper stand this view on its head. I argue that orthodox quantum theory suffers from a number of serious (if not always noticed) defects precisely because of its inbuilt instrumentalism. This defective character of orthdoox quantum theory thus undermines instrumentalism, and supports scientific realism. I (...)
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  14.  87
    Quantum Theory Without Measurement or State Reduction Problems.Alan Macdonald - manuscript
    There is a consistent and simple interpretation of the quantum theory of isolated systems. The interpretation suffers no measurement problem and provides a quantum explanation of state reduction, which is usually postulated. Quantum entanglement plays an essential role in the construction of the interpretation.
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  15. Transcendental Philosophy and Quantum Theory.Patricia Kauark-Leite - 2010 - Manuscrito – Rev. Int. Fil 33 (1):243-267.
    In the Critique of Pure Reason Kant argues that the empirical knowledge of the world depends on a priori conditions of human sensibility and understanding, i. e., our capacities of sense experience and concept formation. The objective knowledge presupposes, on one hand, space and time as a priori conditions of sensibility and, on another hand, a priori judgments, like the principle of causality, as constitutive conditions of understanding. The problem is that in the XX century the physical science completely changed (...)
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  16. The Self and Its World: Husserlian Contributions to a Metaphysics of Einstein’s Theory of Relativity and Heisenberg’s Indeterminacy Principle in Quantum Physics.Maria Eliza Cruz - manuscript
    This paper centers on the implicit metaphysics beyond the Theory of Relativity and the Principle of Indeterminacy – two revolutionary theories that have changed 20th Century Physics – using the perspective of Husserlian Transcedental Phenomenology. Albert Einstein (1879-1955) and Werner Heisenberg (1901-1976) abolished the theoretical framework of Classical (Galilean- Newtonian) physics that has been complemented, strengthened by Cartesian metaphysics. Rene Descartes (1596- 1850) introduced a separation between subject and object (as two different and self- enclosed substances) while Galileo and Newton (...)
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  17.  82
    Entanglement and Thermodynamics in General Probabilistic Theories.Giulio Chiribella & Carlo Maria Scandolo - 2015 - New Journal of Physics 17:103027.
    Entanglement is one of the most striking features of quantum mechanics, and yet it is not specifically quantum. More specific to quantum mechanics is the connection between entanglement and thermodynamics, which leads to an identification between entropies and measures of pure state entanglement. Here we search for the roots of this connection, investigating the relation between entanglement and thermodynamics in the framework of general probabilistic theories. We first address the question whether an entangled state can be transformed (...)
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  18. To Be a Realist About Quantum Theory.Hans Halvorson - 2019 - In Olimpia Lombardi (ed.), Quantum Worlds: Perspectives on the Ontology of Quantum Mechanics.
    I look at the distinction between between realist and antirealist views of the quantum state. I argue that this binary classification should be reconceived as a continuum of different views about which properties of the quantum state are representationally significant. What's more, the extreme cases -- all or none --- are simply absurd, and should be rejected by all parties. In other words, no sane person should advocate extreme realism or antirealism about the quantum state. And if (...)
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  19. Quantum Propensiton Theory: A Testable Resolution of the Wave/Particle Dilemma.Nicholas Maxwell - 1988 - British Journal for the Philosophy of Science 39 (1):1-50.
    In this paper I put forward a new micro realistic, fundamentally probabilistic, propensiton version of quantum theory. According to this theory, the entities of the quantum domain - electrons, photons, atoms - are neither particles nor fields, but a new kind of fundamentally probabilistic entity, the propensiton - entities which interact with one another probabilistically. This version of quantum theory leaves the Schroedinger equation unchanged, but reinterprets it to specify how propensitons evolve when no probabilistic transitions occur. (...)
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  20. Instead of Particles and Fields: A Micro Realistic Quantum "Smearon" Theory. [REVIEW]Nicholas Maxwell - 1982 - Foundatioins of Physics 12 (6):607-631.
    A fully micro realistic, propensity version of quantum theory is proposed, according to which fundamental physical entities - neither particles nor fields - have physical characteristics which determine probabilistically how they interact with one another . The version of quantum "smearon" theory proposed here does not modify the equations of orthodox quantum theory: rather, it gives a radically new interpretation to these equations. It is argued that there are strong general reasons for preferring quantum "smearon" theory (...)
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  21.  73
    Quantum Mechanics Foundations.Bakytzhan Oralbekov - manuscript
    Gravity remains the most elusive field. Its relationship with the electromagnetic field is poorly understood. Relativity and quantum mechanics describe the aforementioned fields, respectively. Bosons and fermions are often credited with responsibility for the interactions of force and matter. It is shown here that fermions factually determine the gravitational structure of the universe, while bosons are responsible for the three established and described forces. Underlying the relationships of the gravitational and electromagnetic fields is a symmetrical probability distribution of fermions (...)
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  22. No Time for Quantum Theory.Hans Halvorson - manuscript
    I prove that quantum theories cannot have a time quantity.
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  23. Quantum Gravity and Taoist Cosmology: Exploring the Ancient Origins of Phenomenological String Theory.Steven M. Rosen - 2017 - Progress in Biophysics and Molecular Biology 131:34-60.
    In the author’s previous contribution to this journal (Rosen 2015), a phenomenological string theory was proposed based on qualitative topology and hypercomplex numbers. The current paper takes this further by delving into the ancient Chinese origin of phenomenological string theory. First, we discover a connection between the Klein bottle, which is crucial to the theory, and the Ho-t’u, a Chinese number archetype central to Taoist cosmology. The two structures are seen to mirror each other in expressing the psychophysical (phenomenological) action (...)
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  24. Logic and the Epistemic Foundations of Game Theory: Special Issue.Michael O. L. Bacharach & Philippe Mongin - 1994 - Theory and Decision 37 (1):1-6.
    An introduction to the special issue on epistemic logic and the foundations of game theory edited by Michael Bacharach and Philippe Mongin. Contributors are Michael Bacharach, Robert Stalnaker, Salvatore Modica and Aldo Rustichini, Luc Lismont and Philippe Mongin, and Hyun-Song Shin and Timothy Williamson.
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  25. The Ontology of Quantum Field Theory: Structural Realism Vindicated?David Glick - 2016 - Studies in History and Philosophy of Science Part A 59:78-86.
    In this paper I elicit a prediction from structural realism and compare it, not to a historical case, but to a contemporary scientific theory. If structural realism is correct, then we should expect physics to develop theories that fail to provide an ontology of the sort sought by traditional realists. If structure alone is responsible for instrumental success, we should expect surplus ontology to be eliminated. Quantum field theory (QFT) provides the framework for some of the best confirmed theories (...)
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  26.  90
    Inter-Theory Relations in Quantum Gravity: Correspondence, Reduction, and Emergence.Karen Crowther - 2017 - Studies in History and Philosophy of Modern Physics.
    Relationships between current theories, and relationships between current theories and the sought theory of quantum gravity (QG), play an essential role in motivating the need for QG, aiding the search for QG, and defining what would count as QG. Correspondence is the broad class of inter-theory relationships intended to demonstrate the necessary compatibility of two theories whose domains of validity overlap, in the overlap regions. The variety of roles that correspondence plays in the search for QG are illustrated, using (...)
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  27.  27
    A Review of Nugayev's Book "Reconstruction of Scientific Theory Change". [REVIEW]Yuri V. Balashov - 1993 - Erkenntnis 38 (3):429-432.
    The author’s studies in the philosophy of science, culminating in this book, were inspired by his previous research in the domains of classical and quantum gravity. In fact it was the need to bring some order in the family of modern classical theories of gravitation and to build up the appropriate conceptual foundations of quantum gravity , that forced the author to create his own methodological model of theory change, which he applies rather successfully to the most (...)
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  28.  81
    Renormalizability, Fundamentality and a Final Theory: The Role of UV-Completion in the Search for Quantum Gravity.Karen Crowther & Niels Linnemann - 2017 - British Journal for the Philosophy of Science:axx052.
    Principles are central to physical reasoning, particularly in the search for a theory of quantum gravity (QG), where novel empirical data is lacking. One principle widely adopted in the search for QG is UV completion: the idea that a theory should (formally) hold up to all possible high energies. We argue---/contra/ standard scientific practice---that UV-completion is poorly-motivated as a guiding principle in theory-construction, and cannot be used as a criterion of theory-justification in the search for QG. For this, we (...)
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  29. 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 (...)
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  30. 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 (...)
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  31. Does Chance Hide Necessity ? A Reevaluation of the Debate ‘Determinism - Indeterminism’ in the Light of Quantum Mechanics and Probability Theory.Louis Vervoort - 2013 - Dissertation, University of Montreal
    In this text the ancient philosophical question of determinism (“Does every event have a cause ?”) will be re-examined. In the philosophy of science and physics communities the orthodox position states that the physical world is indeterministic: quantum events would have no causes but happen by irreducible chance. Arguably the clearest theorem that leads to this conclusion is Bell’s theorem. The commonly accepted ‘solution’ to the theorem is ‘indeterminism’, in agreement with the Copenhagen interpretation. Here it is recalled that (...)
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  32. On the Compatibility Between Quantum Theory and General Relativity.Cristinel Stoica - manuscript
    I propose a gentle reconciliation of Quantum Theory and General Relativity. It is possible to add small, but unshackling constraints to the quantum fields, making them compatible with General Relativity. Not all solutions of the Schrodinger's equation are needed. I show that the continuous and spatially separable solutions are sufficient for the nonlocal manifestations associated with entanglement and wavefunction collapse. After extending this idea to quantum fields, I show that Quantum Field Theory can be defined in (...)
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  33.  98
    Operational Axioms for Diagonalizing States.Giulio Chiribella & Carlo Maria Scandolo - 2015 - EPTCS 195:96-115.
    In quantum theory every state can be diagonalized, i.e. decomposed as a convex combination of perfectly distinguishable pure states. This elementary structure plays an ubiquitous role in quantum mechanics, quantum information theory, and quantum statistical mechanics, where it provides the foundation for the notions of majorization and entropy. A natural question then arises: can we reconstruct these notions from purely operational axioms? We address this question in the framework of general probabilistic theories, presenting a set of (...)
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  34.  72
    Progress in Post-Quantum Theory.Jack Sarfatti - 2017 - AIP Conference Proceedings 1841 (1).
    David Bohm, in his "causal theory", made the correct Hegelian synthesis of Einstein's thesis that there is a "there" there, and Bohr's antithesis of "thinglessness" (Nick Herbert’s term). Einstein was a materialist and Bohr was an idealist. Bohm showed that quantum reality has both. This is “physical dualism” (my term). Physical dualism may be a low energy approximation to a deeper monism of cosmic consciousness called "the super-implicate order" (Bohm and Hiley’s term), “pregeometry” (Wheeler’s term), “substratum” (Dirac’s term), “funda-MENTAL (...)
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  35.  43
    Towards Ψ-Epistemic Quantum Gravity.Marcoen J. T. F. Cabbolet - manuscript
    This self-contained letter shows how ψ-epistemic quantum gravity (QG), that is, QG with a ψ-epistemic interpretation of quantum theory, in principle obtains from a deterministic model of the Elementary Process Theory (EPT) that describes an individual process at supersmall (Planck) scale by which a predominantly gravitational interaction takes place. While both ψ-epistemic QG and the model of the EPT remain to be formulated rigorously, this shows how the probabilistic nature of our knowledge of the physical world emerges in (...)
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  36.  82
    Beyond Quantum Theory: A Realist Psycho-Biological Interpretation of Physical Reality.Michael Conrad, D. Home & Brian Josephson - 1988 - In A. van der Marwe, F. Selleri & G. Tarozzi (eds.), Microphysical Reality and Quantum Formalism, Vol. I. Kluwer Academic. pp. 285-293.
    Stapp and others have proposed that reality involves a fundamental life process, or creative process. It is shown how this process description may be unified with the description that derives from quantum physics. The methods of the quantum physicist and of the biological sciences are seen to be two alternative approaches to the understanding of nature, involving two distinct modes of description which can usefully supplement each other, and neither on its own contains the full story. The unified (...)
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  37. Early Quantum Theory Genesis: Reconciliation of Maxwellian Electrodynamics, Thermodynamics and Statistical Mechanics.Rinat M. Nugayev - 2000 - Annales de la Fondation Louis de Broglie 25 (3-4):337-362.
    Genesis of the early quantum theory represented by Planck’s 1897-1906 papers is considered. It is shown that the first quantum theoretical schemes were constructed as crossbreed ones composed from ideal models and laws of Maxwellian electrodynamics, Newtonian mechanics, statistical mechanics and thermodynamics. Ludwig Boltzmann’s ideas and technique appeared to be crucial. Deriving black-body radiation law Max Planck had to take the experimental evidence into account. It forced him not to deduce from phenomena but to use more theory instead. (...)
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  38. Addressing the Conflict Between Relativity and Quantum Theory: Models, Measurement and the Markov Property.Gareth Ernest Boardman - 2013 - Cosmos and History 9 (2):86-115.
    Twenty-first century science faces a dilemma. Two of its well-verified foundation stones - relativity and quantum theory - have proven inconsistent. Resolution of the conflict has resisted improvements in experimental precision leaving some to believe that some fundamental understanding in our world-view may need modification or even radical reform. Employment of the wave-front model of electrodynamics, as a propagation process with a Markov property, may offer just such a clarification.
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  39.  49
    Special Relativity as a Stage in the Development of Quantum Theory: A New Outlook of Scientific Revolution.Rinat M. Nugayev - 1988 - Historia Scientiarum (34):57-79.
    To comprehend the special relativity genesis, one should unfold Einstein’s activities in quantum theory first . His victory upon Lorentz’s approach can only be understood in the wider context of a general programme of unification of classical mechanics and classical electrodynamics, with relativity and quantum theory being merely its subprogrammes. Because of the lack of quantum facets in Lorentz’s theory, Einstein’s programme, which seems to surpass the Lorentz’s one, was widely accepted as soon as quantum theory (...)
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  40. A Preliminary Experimental Verification of Violation of Bell Inequality in a Quantum Model of Jung Theory of Personality Formulated with Clifford Algebra.Elio Conte - 2010 - Journal of Consciousness Exploration and Research 1 (7):831-849.
    We comment some recent results obtained by using a Clifford bare bone skeleton of quantum mechanics in order to formulate the conclusion that quantum mechanics has its origin in the logic, and relates conceptual entities. Such results touch directly the basic problem about the structure of our cognitive and conceptual dynamics and thus of our mind. The problem of exploring consciousness results consequently to be strongly linked. This is the reason because studies on quantum mechanics applied to (...)
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  41.  83
    Defining a Crisis: The Roles of Principles in the Search for a Theory of Quantum Gravity.Karen Crowther - forthcoming - Synthese:1-28.
    In times of crisis, when current theories are revealed as inadequate to task, and new physics is thought to be required---physics turns to re-evaluate its principles, and to seek new ones. This paper explores the various types, and roles of principles that feature in the problem of quantum gravity as a current crisis in physics. I illustrate the diversity of the principles being appealed to, and show that principles serve in a variety of roles in all stages of the (...)
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  42. The Computable Universe: From Prespace Metaphysics to Discrete Quantum Mechanics.Martin Leckey - 1997 - Dissertation, Monash University
    The central motivating idea behind the development of this work is the concept of prespace, a hypothetical structure that is postulated by some physicists to underlie the fabric of space or space-time. I consider how such a structure could relate to space and space-time, and the rest of reality as we know it, and the implications of the existence of this structure for quantum theory. Understanding how this structure could relate to space and to the rest of reality requires, (...)
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  43. On the Duality Between Existence and Information.David Ellerman - manuscript
    Recent developments in pure mathematics and in mathematical logic have uncovered a fundamental duality between "existence" and "information." In logic, the duality is between the Boolean logic of subsets and the logic of quotient sets, equivalence relations, or partitions. The analogue to an element of a subset is the notion of a distinction of a partition, and that leads to a whole stream of dualities or analogies--including the development of new logical foundations for information theory parallel to Boole's development (...)
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  44. Mach and Ehrenfels: The Foundations of Gestalt Theory.Kevin Mulligan & Barry Smith - 1988 - In Barry Smith (ed.), Foundations of Gestalt Theory. Vienna: Philosophia Verlag. pp. 124-157.
    Ernst Mach's atomistic theory of sensation faces problems in doing justice to our ability to perceive and remember complex phenomena such as melodies and shapes. Christian von Ehrenfels attempted to solve these problems with his theory of "Gestalt qualities", which he sees as entities depending one-sidedly on the corresponding simple objects of sensation. We explore the theory of dependence relations advanced by Ehrenfels and show how it relates to the views on the objects of perception advanced by Husserl and by (...)
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  45.  84
    Quantum Theory, Active Information and the Mind-Matter Problem.Paavo Pylkkänen - 2016 - In Contextuality from Quantum Physics to Psychology. Singapore: World Scientific. pp. 325-334.
    Bohm and Hiley suggest that a certain new type of active information plays a key objective role in quantum processes. This paper discusses the implications of this suggestion to our understanding of the relation between the mental and the physical aspects of reality.
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  46. Representation Theorems and the Foundations of Decision Theory.Christopher J. G. Meacham & Jonathan Weisberg - 2011 - Australasian Journal of Philosophy 89 (4):641 - 663.
    Representation theorems are often taken to provide the foundations for decision theory. First, they are taken to characterize degrees of belief and utilities. Second, they are taken to justify two fundamental rules of rationality: that we should have probabilistic degrees of belief and that we should act as expected utility maximizers. We argue that representation theorems cannot serve either of these foundational purposes, and that recent attempts to defend the foundational importance of representation theorems are unsuccessful. As a result, (...)
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  47. On an Intrinsic Quantum Theoretical Structure Inside Einstein's Gravity Field Equations.Han Geurdes - manuscript
    As is well known, Einstein was dissatisfied with the foundation of quantum theory and sought to find a basis for it that would have satisfied his need for a causal explanation. In this paper this abandoned idea is investigated. It is found that it is mathematically not dead at all. More in particular: a quantum mechanical U(1) gauge invariant Dirac equation can be derived from Einstein's gravity field equations. We ask ourselves what it means for physics, the history (...)
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  48. Disrespect: The Normative Foundations of Critical Theory.Axel Honneth - 2007 - Polity.
    Over the last decade, Axel Honneth has established himself as one of the leading social and political philosophers in the world today. Rooted in the tradition of critical theory, his writings have been central to the revitalization of critical theory and have become increasingly influential. His theory of recognition has gained worldwide attention and is seen by some as the principal counterpart to Habermass theory of discourse ethics. In this important new volume, Honneth pursues his path-breaking work on recognition by (...)
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  49.  44
    Quantum Mechanics and Consciousness: Thoughts on a Causal Correspondence Theory.Ian J. Thompson - 2017 - In S. Gosh (ed.), Quantum Physics & Consciousness - Thoughts of Founding Fathers of Quantum Physics and other Renowned Scholars. Kolkata, India: Bhaktivedanta Institute. pp. 173-185.
    Which way does causation proceed? The pattern in the material world seems to be upward: particles to molecules to organisms to brains to mental processes. In contrast, the principles of quantum mechanics allow us to see a pattern of downward causation. These new ideas describe sets of multiple levels in which each level influences the levels below it through generation and selection. Top-down causation makes exciting sense of the world: we can find analogies in psychology, in the formation of (...)
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  50. From Traditional Set Theory – That of Cantor, Hilbert , Gödel, Cohen – to Its Necessary Quantum Extension.Edward G. Belaga - manuscript
    The original purpose of the present study, 2011, started with a preprint «On the Probable Failure of the Uncountable Power Set Axiom», 1988, is to save from the transfinite deadlock of higher set theory the jewel of mathematical Continuum — this genuine, even if mostly forgotten today raison d’être of all traditional set-theoretical enterprises to Infinity and beyond, from Georg Cantor to David Hilbert to Kurt Gödel to W. Hugh Woodin to Buzz Lightyear.
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