Results for 'Fuzzy Time-Particle interpretation of Quantum Mechanics'

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  1. 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 (...)
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  2. 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.
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  3. 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. . -/- .
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  4. Double Slit Experiment About Fuzzy time- Particle interpretation of Quantum Mechanics (It is not an innocent one!) Version two.Farzad Didehvar - manuscript
    The question of some of the friends is: -/- How is it possible to explain “Double slit experiment” by “Fuzzy time-Particle Interpretation”?
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  5. Why Fuzzy Time-Particle interpretation but not Fuzzy (Space,Time)-Particle? Why Time is Asymmetrical?Didehvar Farzad - manuscript
    In previous article (Computing Fuzzy Time Function) the fuzzy function associated to the instants of time is computed, as it is introduced in Fuzzy Time-Particle interpretation of Quantum Mechanics. Here, we show this computation concludes time is asymmetrical. Also, some other results of the studied paper are discussed.
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  6. (1 other version)Fuzzy time”, from paradox to paradox (Does it solve the contradiction between Quantum Mechanics & General Relativity?).Farzad Didehvar - manuscript
    Although Fuzzy logic and Fuzzy Mathematics is a widespread subject and there is a vast literature about it, yet the use of Fuzzy issues like Fuzzy sets and Fuzzy numbers was relatively rare in time concept. This could be seen in the Fuzzy time series. In addition, some attempts are done in fuzzing Turing Machines but seemingly there is no need to fuzzy time. Throughout this article, we try to change (...)
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  7. Computing Fuzzy Time Function.Farzad Didehvar - manuscript
    We consider time as a fuzzy concept. Based on this, the Fuzzy Time-Particle interpretation Of Quantum Mechanics is introduced as an interpretation of Quantum Mechanics [4],[5],[6]. Here, we show how to compute the function associated to Fuzzy time.
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  8. 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 (...)
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  9. Fuzzy Space?Didehvar Farzad - manuscript
    In the sequence of articles [1],...,[14], we consider Fuzziness of Time. What about space? Should we consider Fuzzy Space? What would be the Structure of the Physical world? Here we try to shed a light on this subject.
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  10. A single-world consistent interpretation of quantum mechanics from fundamental time and length uncertainties.Rodolfo Gambini, Luis Pedro Garcia-Pintos & Jorge Pullin - 2018 - Physical Review A 100 (012).
    Within ordinary ---unitary--- quantum mechanics there exist global protocols that allow to verify that no definite event ---an outcome to which a probability can be associated--- occurs. Instead, states that start in a coherent superposition over possible outcomes always remain as a superposition. We show that, when taking into account fundamental errors in measuring length and time intervals, that have been put forward as a consequence of a conjunction of quantum mechanical and general relativity arguments, there (...)
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  11. (1 other version)Zeno Paradox, Unexpected Hanging Paradox (Modeling of Reality & Physical Reality, A Historical-Philosophical view).Farzad Didehvar - manuscript
    . In our research about Fuzzy Time and modeling time, "Unexpected Hanging Paradox" plays a major role. Here, we compare this paradox to the Zeno Paradox and the relations of them with our standard models of continuum and Fuzzy numbers. To do this, we review the project "Fuzzy Time and Possible Impacts of It on Science" and introduce a new way in order to approach the solutions for these paradoxes. Additionally, we have a more (...)
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  12. (1 other version)Quantum Physics: an overview of a weird world: A primer on the conceptual foundations of quantum physics.Marco Masi - 2019 - Indy Edition.
    This is the first book in a two-volume series. The present volume introduces the basics of the conceptual foundations of quantum physics. It appeared first as a series of video lectures on the online learning platform Udemy.]There is probably no science that is as confusing as quantum theory. There's so much misleading information on the subject that for most people it is very difficult to separate science facts from pseudoscience. The goal of this book is to make you (...)
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  13. 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 (...)
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  14. Mass Time, Mass System, Electrical Charge Time (Infinities in Physics).Farzad Didehvar - manuscript
    Here, we continue the discussion in [1], about infinities in Physics. Our goal is to create a Mathematical system to give a probable explanation for infinities in QED, based on Fuzzy time. This Mathematical system should be sufficiently satisfactory and Simple. In general, our goal of these series, is to provide more reasons to consider time as a fuzzy concept in a way that is explained in [4], [5], [6].
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  15. Quantum mechanics in terms of realism.Arthur Jabs - 2017 - arXiv.Org.
    We expound an alternative to the Copenhagen interpretation of the formalism of nonrelativistic quantum mechanics. The basic difference is that the new interpretation is formulated in the language of epistemological realism. It involves a change in some basic physical concepts. The ψ function is no longer interpreted as a probability amplitude of the observed behaviour of elementary particles but as an objective physical field representing the particles themselves. The particles are thus extended objects whose extension varies (...)
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  16. 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 (...)
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  17. 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 (...)
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  18. 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.
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  19. The Quantum Measurement Problem - Collapse of the Wave Function explained.Rochelle Marianne Forrester - unknown
    Quantum physicists have made many attempts to solve the quantum measurement problem, but no solution seems to have received widespread acceptance. The time has come for a new approach. In Sense Perception and Reality: A Theory of Perceptual Relativity, Quantum Mechanics and the Observer Dependent Universe I suggest the quantum measurement problem is caused by a failure to understand that each species has its own sensory world and that when we say the wave function (...)
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  20. Non-locality in the AB-time interpretation of quantum mechanics.Paul Merriam - manuscript
    Non-locality is one of the great mysteries of quantum mechanics (qm). There is a new realist interpretation of qm on the table whose notion of time incorporates both of McTaggart's A-series and B-series. In this philosophically motivated interpretation there is no fact of the matter as to whether the 'now' of one system is the 'now' of another system, until measurement. But this reproduces the idea that the spins of a Bell pair of electrons do (...)
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  21. This Year's Nobel Prize (2022) in Physics for Entanglement and Quantum Information: the New Revolution in Quantum Mechanics and Science.Vasil Penchev - 2023 - Philosophy of Science eJournal (Elsevier: SSRN) 18 (33):1-68.
    The paper discusses this year’s Nobel Prize in physics for experiments of entanglement “establishing the violation of Bell inequalities and pioneering quantum information science” in a much wider, including philosophical context legitimizing by the authority of the Nobel Prize a new scientific area out of “classical” quantum mechanics relevant to Pauli’s “particle” paradigm of energy conservation and thus to the Standard model obeying it. One justifies the eventual future theory of quantum gravitation as belonging to (...)
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  22.  49
    A quantum mechanical analysis of time and motion in relativity theory.Diederik Aerts & Massimiliano Sassoli de Bianchi - 2024 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 39 (2):165-191.
    An operational approach to quantum mechanics has been developed in the past decades in our group in Brussels. A similar approach is taken in this work, making use of the extra operational depth offered by this approach, to show that the construction of spacetime is specific to each observer. What is usually referred to as the block universe then emerges by noting that parts of the past and future are also contained in the present, but without the limitations (...)
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  23. Philosophical Foundations of Quantum Mechanics.Alireza Mansouri - 2016 - Tehran: Nashre Ney.
    The revolution brought about by quantum mechanics in the early 20th century was nothing short of remarkable. It shattered the foundational principles of classical physics, giving rise to a plethora of controversial and intriguing conceptual questions. Questions that still perplex and confound the scientific community today. Is the quantum mechanical description of physical reality complete? Are the objects of nature truly inseparable? And most importantly, do objects not have a specific position before measurement, and are there non-causal (...)
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  24. Atomism in Quantum Mechanics and Information.Vasil Penchev - 2020 - Metaphysics eJournal (Elsevier: SSRN) 13 (12):1-11.
    The original conception of atomism suggests “atoms”, which cannot be divided more into composing parts. However, the name “atom” in physics is reserved for entities, which can be divided into electrons, protons, neutrons and other “elementary particles”, some of which are in turn compounded by other, “more elementary” ones. Instead of this, quantum mechanics is grounded on the actually indivisible quanta of action limited by the fundamental Planck constant. It resolves the problem of how both discrete and continuous (...)
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  25. 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.
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  26.  18
    Gedankenexperiments reconciling quantum mechanics, relativity, and our experience of time.Paul Merriam & M. A. Z. Habeeb - manuscript
    In this short informal note we consider four Gedankenexperiments that show A-theories of time are compelling and can be leveraged to give a Presentist Fragmentalist realist interpretation of quantum mechanics. Each of these four involve roles for manifest time, relativistic time, and quantum mechanical time. The point is to give simple everyday situations where a new point of view leads to the consistency of all three. This is the MO of the early (...)
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  27. Time Reversal Invariance in Quantum Mechanics.Reza Moulavi Ardakani - 2017 - Dissertation, Texas Tech University
    Symmetries have a crucial role in today’s physics. In this thesis, we are mostly concerned with time reversal invariance (T-symmetry). A physical system is time reversal invariant if its underlying laws are not sensitive to the direction of time. There are various accounts of time reversal transformation resulting in different views on whether or not a given theory in physics is time reversal invariant. With a focus on quantum mechanics, I describe the standard (...)
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  28. 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 (...)
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  29. The time asymmetry of quantum mechanics and concepts of physical directionality of time Part 1.Andrew Thomas Holster - manuscript
    This is Part 1 of a four part paper, intended to redress some of the most fundamental confusions in the subject of physical time directionality, and represent the concepts accurately. There are widespread fallacies in the subject that need to be corrected in introductory courses for physics students and philosophers. We start in Part 1 by analysing the time reversal symmetry of quantum probability laws. Time reversal symmetry is defined as the property of invariance under the (...)
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  30. Metaphysics of quantum mechanics.Craig Callender - 2009 - In Compendium of Quantum Physics. Berlin Heidelberg: Springer-Verlag. pp. 384-389.
    Quantum mechanics, like any physical theory, comes equipped with many metaphysical assumptions and implications. The line between metaphysics and physics is often blurry, but as a rough guide, one can think of a theory’s metaphysics as those foundational assumptions made in its interpretation that are not usually directly tested in experiment. In classical mechanics some examples of possible metaphysical assumptions are the claims that forces are real, that inertial mass is primitive, and that space is substantival. (...)
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  31. Meaning of the wave function.Shan Gao - 2010
    We investigate the meaning of the wave function by analyzing the mass and charge density distributions of a quantum system. According to protective measurement, a charged quantum system has effective mass and charge density distributing in space, proportional to the square of the absolute value of its wave function. In a realistic interpretation, the wave function of a quantum system can be taken as a description of either a physical field or the ergodic motion of a (...)
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  32. An interpretation of the formalism of quantum mechanics in terms of realism.Arthur Jabs - 1992 - British Journal for the Philosophy of Science 43 (3):405-421.
    We present an alternative to the Copenhagen interpretation of the formalism of nonrelativistic quantum mechanics. The basic difference is that the new inter- pretation is formulated in the language of epistemological realism. It involves a change in some basic physical concepts. Elementary particles are considered as extended objects and nonlocal effects are included. The role of the new concepts in the problems of measurement and of the Einstein-Podolsky-Rosen correlations is described. Experiments to distinguish the proposed interpretation (...)
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  33. A new interpretation of quantum theory, based on a bundle-theoretic view of objective idealism.Martin Korth - manuscript
    After about a century since the first attempts by Bohr, the interpretation of quantum theory is still a field with many open questions.1 In this article a new interpretation of quantum theory is suggested, motivated by philosophical considerations. Based on the findings that the ’weirdness’ of quantum theory can be understood to derive from a vanishing distinguishability of indiscernible particles, and the observation that a similar vanishing distinguishability is found for bundle theories in philosophical ontology, (...)
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  34. Cyclic Mechanics: the Principle of Cyclicity.Vasil Penchev - 2020 - Cosmology and Large-Scale Structure eJournal (Elsevier: SSRN) 2 (16):1-35.
    Cyclic mechanic is intended as a suitable generalization both of quantum mechanics and general relativity apt to unify them. It is founded on a few principles, which can be enumerated approximately as follows: 1. Actual infinity or the universe can be considered as a physical and experimentally verifiable entity. It allows of mechanical motion to exist. 2. A new law of conservation has to be involved to generalize and comprise the separate laws of conservation of classical and relativistic (...)
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  35. Why anything rather than nothing? The answer of quantum mechanics.Vasil Penchev - 2019 - In Aleksandar Feodorov & Ivan Mladenov (eds.), Non/Cognate Approaches: Relation & Representation. "Парадигма". pp. 151-172.
    Many researchers determine the question “Why anything rather than nothing?” as the most ancient and fundamental philosophical problem. Furthermore, it is very close to the idea of Creation shared by religion, science, and philosophy, e.g. as the “Big Bang”, the doctrine of “first cause” or “causa sui”, the Creation in six days in the Bible, etc. Thus, the solution of quantum mechanics, being scientific in fact, can be interpreted also philosophically, and even religiously. However, only the philosophical (...) is the topic of the text. The essence of the answer of quantum mechanics is: 1. The creation is necessary in a rigorous mathematical sense. Thus, it does not need any choice, free will, subject, God, etc. to appear. The world exists in virtue of mathematical necessity, e.g. as any mathematical truth such as 2+2=4. 2. The being is less than nothing rather than more than nothing. So, the creation is not an increase of nothing, but the decrease of nothing: it is a deficiency in relation of nothing. Time and its “arrow” are the way of that diminishing or incompleteness to nothing. (shrink)
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  36. Quantum Mechanics, Fields, Black Holes, and Ontological Plurality.Gustavo E. Romero - 2024 - Philosophies 9 (4):97-121.
    The ontology behind quantum mechanics has been the subject of endless debate since the theory was formulated some 100 years ago. It has been suggested, at one time or another, that the objects described by the theory may be individual particles, waves, fields, ensembles of particles, observers, and minds, among many other possibilities. I maintain that these disagreements are due in part to a lack of precision in the use of the theory’s various semantic designators. In particular, (...)
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  37. The quantum mechanical path integral: Toward a realistic interpretation.Mark Sharlow - 2007
    In this paper, I explore the feasibility of a realistic interpretation of the quantum mechanical path integral - that is, an interpretation according to which the particle actually follows the paths that contribute to the integral. I argue that an interpretation of this sort requires spacetime to have a branching structure similar to the structures of the branching spacetimes proposed by previous authors. I point out one possible way to construct branching spacetimes of the required (...)
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  38. The Cosmic Void.Eddy Keming Chen - 2021 - In Sara Bernstein & Tyron Goldschmidt (eds.), Non-Being: New Essays on the Metaphysics of Nonexistence. Oxford: Oxford University Press.
    What exists at the fundamental level of reality? On the standard picture, the fundamental reality contains (among other things) fundamental matter, such as particles, fields, or even the quantum state. Non-fundamental facts are explained by facts about fundamental matter, at least in part. In this paper, I introduce a non-standard picture called the "cosmic void” in which the universe is devoid of any fundamental material ontology. Facts about tables and chairs are recovered from a special kind of laws that (...)
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  39. The quantum mechanical time reversal operator.Andrew Thomas Holster - unknown
    The analysis of the reversibility of quantum mechanics depends upon the choice of the time reversal operator for quantum mechanical states. The orthodox choice for the time reversal operator on QM states is known as the Wigner operator, T*, where * performs complex conjugation. The peculiarity is that this is not simply the unitary time reversal operation, but an anti-unitary operator, involving complex conjugation in addition to ordinary time reversal. The alternative choice is (...)
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  40. (1 other version)Relativity Theory may not have the last Word on the Nature of Time: Quantum Theory and Probabilism.Nicholas Maxwell - 2016 - In Giancarlo Ghirardi & Shyam Wuppuluri (eds.), Space, Time and the Limits of Human Understanding. Cham: Imprint: 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 (...)
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  41. From Yijing to Copenhagen Interpretation of Quantum Physics.David Leong - manuscript
    In the quest and search for a physical theory of everything from the macroscopic large body matter to the microscopic elementary particles, with strange and weird concepts springing from quantum physics discovery, irreconcilable positions and inconvenient facts complicated physics – from Newtonian physics to quantum science, the question is- how do we close the gap? Indeed, there is a scientific and mathematical fireworks when the issue of quantum uncertainties and entanglements cannot be explained with classical physics. The (...)
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  42. (1 other version)How Entropy Explains the Emergence of Consciousness: The Entropic Theory.Peter C. Lugten - 2024 - Journal of Neurobehavioral Sciences 11 (1):10-18.
    Background: Emergentism as an ontology of consciousness leaves unanswered the question as to its mechanism. Aim: I aim to solve the Body-Mind problem by explaining how conscious organisms emerged on an evolutionary basis at various times in accordance with an accepted scientific principle, through a mechanism that cannot be understood, in principle. Proposal: The reason for this cloak of secrecy is found in a seeming contradiction in the behaviour of information with respect to the first two laws of thermodynamics. Information, (...)
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  43. 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 (...)
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  44. Thoughts on Artificial Intelligence and the Origin of Life Resulting from General Relativity, with Neo-Darwinist Reference to Human Evolution and Mathematical Reference to Cosmology.Rodney Bartlett - manuscript
    When this article was first planned, writing was going to be exclusively about two things - the origin of life and human evolution. But it turned out to be out of the question for the author to restrict himself to these biological and anthropological topics. A proper understanding of them required answering questions like “What is the nature of the universe – the home of life – and how did it originate?”, “How can time travel be removed from fantasy (...)
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  45. The Frontier of Time: The Concept of Quantum Information.Vasil Penchev - 2020 - Cosmology and Large-Scale Structure eJournal (Elsevier: SSRN) 2 (17):1-5.
    The concept of formal transcendentalism is utilized. The fundamental and definitive property of the totality suggests for “the totality to be all”, thus, its externality (unlike any other entity) is contained within it. This generates a fundamental (or philosophical) “doubling” of anything being referred to the totality, i.e. considered philosophically. Thus, that doubling as well as transcendentalism underlying it can be interpreted formally as an elementary choice such as a bit of information and a quantity corresponding to the number of (...)
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  46. Concepts of physical directionality of time Part 2 The interpretation of the quantum mechanical time reversal operator.Andrew Thomas Holster - manuscript
    This is Part 2 of a four part paper, intended as an introduction to the key concepts and issues of time directionality for physicists and philosophers. It redresses some fundamental confusions in the subject. These need to be corrected in introductory courses for physics and philosophy of physics students. Here we analyze the quantum mechanical time reversal operator and the reversal of the deterministic Schrodinger equation. It is argued that quantum mechanics is anti-symmetric w.r.t. (...) reversal in its deterministic laws. This contradicts the orthodox analysis, found throughout the conventional literature on physical time, which claims that quantum mechanics is time symmetric (reversible), and that we must adopt the anti-unitary operator (T*) instead of the unitary time reversal operator (T) for time reversal in quantum mechanics. This is widely claimed as settled scientific fact, and large metaphysical conclusions about the symmetry of time are drawn from it. But it is an error. (shrink)
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  47. 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 description (...)
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  48. 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 (...) mechanics. In detail we realize a bare bone skeleton of quantum mechanics recovering all the basic foundations of this theory on an algebraic framework. We give proof of the quantum like Heisenberg uncertainty relations using only the basic support of the Clifford algebra. In addition we demonstrate the well known phenomenon of quantum Mach Zender interference using the same algebraic framework, as well as we give algebraic proof of quantum collapse in some cases of physical interest by direct application of the theorem that we derive to elaborate the i,±1 N algebra. We also discuss the problem of time evolution of quantum systems as well as the changes in space location, in momentum and the linked invariance principles. We are also able to re-derive the basic wave function of standard quantum mechanics by using only the Clifford algebraic approach. In this manner we obtain a full exposition of standard quantum mechanics using only the basic axioms of Clifford algebra. We also discuss more advanced features of quantum mechanics. In detail, we give demonstration of the Kocken-Specher theorem, and also we give an algebraic formulation and explanation of the EPR paradox only using the Clifford algebra. By using the same approach we also derive Bell inequalities. Our formulation is strongly based on the use of idempotents that are contained in Clifford algebra. Their counterpart in quantum mechanics is represented by the projection operators that, as it is well known, are interpreted as logical statements, following the basic von Neumann results. Von Neumann realized a matrix logic on the basis of quantum mechanics. Using the Clifford algebra we are able to invert such result. According to the results previously obtained by Orlov in 1994, we are able to give proof that quantum mechanics derives from logic. We show that indeterminism and quantum interference have their origin in the logic. Therefore, it seems that we may conclude that quantum mechanics, as it appears when investigated by the Clifford algebra, is a two-faced theory in the sense that it looks from one side to “matter per se”, thus to objects but simultaneously also to conceptual entities. We advance the basic conclusion of the paper: There are stages of our reality in which we no more can separate the logic ( and thus cognition and thus conceptual entity) from the features of “matter per se”. In quantum mechanics the logic, and thus the cognition and thus the conceptual entity-cognitive performance, assume the same importance as the features of what is being described. We are at levels of reality in which the truths of logical statements about dynamic variables become dynamic variables themselves so that a profound link is established from its starting in this theory between physics and conceptual entities. Finally, in this approach there is not an absolute definition of logical truths. Transformations , and thus … “redefinitions”…. of truth values are permitted in such scheme as well as the well established invariance principles, clearly indicate . (shrink)
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  49. Reformulation of Dirac’s theory of electron to avoid negative energy or negative time solution.Biswaranjan Dikshit - 2017 - Journal of Theoretical Physics and Cryptography 13:1-4.
    Dirac’s relativistic theory of electron generally results in two possible solutions, one with positive energy and other with negative energy. Although positive energy solutions accurately represented particles such as electrons, interpretation of negative energy solution became very much controversial in the last century. By assuming the vacuum to be completely filled with a sea of negative energy electrons, Dirac tried to avoid natural transition of electron from positive to negative energy state using Pauli’s exclusion principle. However, many scientists like (...)
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  50. Scientific Realism without the Wave-Function: An Example of Naturalized Quantum Metaphysics.Valia Allori - 2020 - In Juha Saatsi & Steven French (eds.), Scientific Realism and the Quantum. Oxford: Oxford University Press.
    Scientific realism is the view that our best scientific theories can be regarded as (approximately) true. This is connected with the view that science, physics in particular, and metaphysics could (and should) inform one another: on the one hand, science tells us what the world is like, and on the other hand, metaphysical principles allow us to select between the various possible theories which are underdetermined by the data. Nonetheless, quantum mechanics has always been regarded as, at best, (...)
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