Results for 'Dirac'

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  1. The principles of quantum mechanics.Paul Dirac - 1930 - Oxford,: Clarendon Press.
    THE PRINCIPLE OF SUPERPOSITION. The need for a quantum theory Classical mechanics has been developed continuously from the time of Newton and applied to an ...
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  2. Dirac’s Refined Unification of Quantum Mechanics and Special Relativity: An Intertheoretic Context.Rinat M. Nugayev - 2022 - Teorie Vědy / Theory of Science 44 (1):37-57.
    One of the key episodes of history of modern physics – Paul Dirac’s startling contrivance of the relativistic theory of the electron – is elicited in the context of lucid epistemological model of mature theory change. The peculiar character of Dirac’s synthesis of special relativity and quantum mechanics is revealed by comparison with Einstein’s sophisticated methodology of the General Relativity contrivance. The subtle structure of Dirac’s scientific research program and first and foremost the odd principles that put (...)
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  3. The Dirac large number hypothesis and a system of evolving fundamental constants.Andrew Holster - manuscript
    In his [1937, 1938], Paul Dirac proposed his “Large Number Hypothesis” (LNH), as a speculative law, based upon what we will call the “Large Number Coincidences” (LNC’s), which are essentially “coincidences” in the ratios of about six large dimensionless numbers in physics. Dirac’s LNH postulates that these numerical coincidences reflect a deeper set of law-like relations, pointing to a revolutionary theory of cosmology. This led to substantial work, including the development of Dirac’s later [1969/74] cosmology, and other (...)
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  4. 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 (...)
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  5. Dirac-Type Equations in a Gravitational Field, with Vector Wave Function.Mayeul Arminjon - 2008 - Foundations of Physics 38 (11):1020-1045.
    An analysis of the classical-quantum correspondence shows that it needs to identify a preferred class of coordinate systems, which defines a torsionless connection. One such class is that of the locally-geodesic systems, corresponding to the Levi-Civita connection. Another class, thus another connection, emerges if a preferred reference frame is available. From the classical Hamiltonian that rules geodesic motion, the correspondence yields two distinct Klein-Gordon equations and two distinct Dirac-type equations in a general metric, depending on the connection used. Each (...)
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  6. Cassirer and Dirac on the Symbolic Method in Quantum Mechanics: A Confluence of Opposites.Thomas Ryckman - 2018 - Journal for the History of Analytical Philosophy 6 (3).
    Determinismus und Indeterminismus in der modernen Physik is one of Cassirer’s least known and studied works, despite his own assessment as “one of his most important achievements”. A prominent theme locates quantum mechanics as a yet further step of the tendency within physical theory towards the purely functional theory of the concept and functional characterization of objectivity. In this respect DI can be considered an “update”, like the earlier monograph Zur Einsteinschen Relativitätstheorie: Erkenntnistheoretische Betrachtungen, to Substanzbegriff und Funktionsbegriff, a seminal (...)
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  7. A Review on Entanglement and Maxwell-Dirac Isomorphism.Victor Christianto & Florentin Smarandache - manuscript
    In RG forum, one senior professor of physics posted a project called: “Future science and technology.” As a response, one of us (VC) wrote in reply: “I think one of future science's tasks is to discover the link between entanglement and classical electromagnetic theory. This is to fulfill Einstein's position that present QM theory is incomplete, a new one must be found. We are on a way to that goal.” Therefore, in this paper we will discuss how entanglement can be (...)
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  8. A Review of Two Derivations of Maxwell-Dirac Isomorphism and a Few Plausible Extensions.Florentin Smarandache - manuscript
    The problem of the formal connection between electrodynamics and wave mechanics has attracted the attention of a number of authors, especially there are some existing proofs on Maxwell-Dirac isomorphism. Here the author will review two derivations of Maxwell-Dirac isomorphism i.e. by Hans Sallhofer and Volodimir Simulik. A few plausible extensions will be discussed too.
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  9. Towards Soliton Computer Based on Solitary Wave Solution of Maxwell Dirac equation: A Plausible Alternative to Manakov System.Victor Christianto & Florentin Smarandache - 2023 - Bulletin of Pure and Applied Sciences 42.
    In recent years, there are a number of proposals to consider collision-based soliton computer based on certain chemical reactions, namely Belousov-Zhabotinsky reaction, which leads to soliton solutions of coupled Nonlinear Schroedinger equations. They are called Manakov System. But it seems to us that such a soliton computer model can also be based on solitary wave solution of Maxwell-Dirac equation, which reduces to Choquard equation. And soliton solution of Choquard equation has been investigated by many researchers, therefore it seems more (...)
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  10. On Some Metaphysical problems of Many Worlds Interpretation of Quantum Mechanics.Victor Christianto & Florentin Smarandache - manuscript
    Despite its enormous practical success, many physicists and philosophers alike agree that the quantum theory is full of contradictions and paradoxes which are difficult to solve consistently. Even after 90 years, the experts themselves still do not all agree what to make of it. The area of disagreement centers primarily around the problem of describing observations. Formally, the so-called quantum measurement problem can be defined as follows: the result of a measurement is a superposition of vectors, each representing the quantity (...)
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  11. A review on possible physical meaning of elastic-electromagnetic mathematical equivalences.Florentin Smarandache - manuscript
    It is known, despite special theory of relativity has been widely accepted, in our recent draft submitted to this journal it is shown that some experiments have been carried out suggesting superluminal wave propagation, which make Minkowski lightcone not valid anymore. Therefore, it seems worth to reconsider the connection between elastic wave and electromagnetic wave equations, as in their early development. In this paper we will start with Maxwell-Dirac isomorphism, then we will find its connection with elastic wave equations.
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  12. The c-aplpha Non Exclusion Principle and the vastly different internal electron and muon center of charge vacuum fluctuation geometry.Jim Wilson - forthcoming - Physics Essays.
    The electronic and muonic hydrogen energy levels are calculated very accurately [1] in Quantum Electrodynamics (QED) by coupling the Dirac Equation four vector (c ,mc2) current covariantly with the external electromagnetic (EM) field four vector in QED’s Interactive Representation (IR). The c -Non Exclusion Principle(c -NEP) states that, if one accepts c as the electron/muon velocity operator because of the very accurate hydrogen energy levels calculated, the one must also accept the resulting electron/muon internal spatial and time coordinate operators (...)
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  13. 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 of (...)
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  14. (1 other version)Quantum mechanics over sets: a pedagogical model with non-commutative finite probability theory as its quantum probability calculus.David Ellerman - 2017 - Synthese (12).
    This paper shows how the classical finite probability theory (with equiprobable outcomes) can be reinterpreted and recast as the quantum probability calculus of a pedagogical or toy model of quantum mechanics over sets (QM/sets). There have been several previous attempts to develop a quantum-like model with the base field of ℂ replaced by ℤ₂. Since there are no inner products on vector spaces over finite fields, the problem is to define the Dirac brackets and the probability calculus. The previous (...)
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  15. 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 indefinite to more definite (...)
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  16. Maxwell–boltzmann statistics and the metaphysics of modality.Bruce L. Gordon - 2002 - Synthese 133 (3):393 - 417.
    Two arguments have recently been advanced that Maxwell-Boltzmann particles areindistinguishable just like Bose–Einstein and Fermi–Dirac particles. Bringing modalmetaphysics to bear on these arguments shows that ontological indistinguishabilityfor classical (MB) particles does not follow. The first argument, resting on symmetryin the occupation representation for all three cases, fails since peculiar correlationsexist in the quantum (BE and FD) context as harbingers of ontic indistinguishability,while the indistinguishability of classical particles remains purely epistemic. The secondargument, deriving from the classical limits of quantum statistical (...)
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  17. Beauty as a Guide to Truth: Aquinas, Fittingness, and Explanatory Virtues.Levi Durham - forthcoming - Proceedings and Addresses of the American Philosophical Association.
    Many scientists and philosophers of science think that beauty should play a role in theory selection. Physicists like Paul Dirac and Steven Weinberg explicitly claim that the ultimate explanations of the physical world must be beautiful. And philosophers of science like Peter Lipton say that we should expect the loveliest theory to also be the most likely. In this paper, I contend that these arguments from loveliness bear a striking similarity to Thomas Aquinas’ arguments from fittingness; both seem to (...)
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  18. Relation between relativisitic quantum mechanics and.Han Geurdes - 1995 - Phys Rev E 51 (5):5151-5154.
    The objective of this report is twofold. In the first place it aims to demonstrate that a four-dimensional local U(1) gauge invariant relativistic quantum mechanical Dirac-type equation is derivable from the equations for the classical electromagnetic field. In the second place, the transformational consequences of this local U(1) invariance are used to obtain solutions of different Maxwell equations.
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  19. Persistence and Nonpersistence as Complementary Models of Identical Quantum Particles.Philip Goyal - 2019 - New Journal of Physics 21.
    According to our understanding of the everyday physical world, observable phenomena are underpinned by persistent objects that can be reidentified across time by observation of their distinctive properties. This understanding is reflected in classical mechanics, which posits that matter consists of persistent, reidentifiable particles. However, the mathematical symmetrization procedures used to describe identical particles within the quantum formalism have led to the widespread belief that identical quantum particles lack either persistence or reidentifiability. However, it has proved difficult to reconcile these (...)
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  20. “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 understanding of quantum indistinguishability is linked to the (...)
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  21. 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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  22. Fine-structure constant from Sommerfeld to Feynman.Michael A. Sherbon - 2019 - Journal of Advances in Physics 16 (1):335-343.
    The fine-structure constant, which determines the strength of the electromagnetic interaction, is briefly reviewed beginning with its introduction by Arnold Sommerfeld and also includes the interest of Wolfgang Pauli, Paul Dirac, Richard Feynman and others. Sommerfeld was very much a Pythagorean and sometimes compared to Johannes Kepler. The archetypal Pythagorean triangle has long been known as a hiding place for the golden ratio. More recently, the quartic polynomial has also been found as a hiding place for the golden ratio. (...)
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  23. 601 Books on Space.Francisco Caruso - 2012 - Maluhy & Co..
    Space is one of the most fundamental concepts over which scientific knowledge has been constructed. But it is also true that space concepts extrapolate by far the scientific domain, and permeate many other branches of human knowledge. Those are fascinating aspects that could di per se justify the compilation of a long bibliography. Another one is the passion for books. My interest in some physical, historical and philosophical problems concerning the concept of space in Physics, and its properties, can be (...)
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  24. An Analogy for the Relativistic Quantum Mechanics through a Model of De Broglie Wave-covariant Ether.Mohammed Sanduk - 2018 - International Journal of Quantum Foundations 4 (2):173 - 198.
    Based on de Broglie’s wave hypothesis and the covariant ether, the Three Wave Hypothesis (TWH) has been proposed and developed in the last century. In 2007, the author found that the TWH may be attributed to a kinematical classical system of two perpendicular rolling circles. In 2012, the author showed that the position vector of a point in a model of two rolling circles in plane can be transformed to a complex vector under a proposed effect of partial observation. In (...)
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  25. 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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  26. Epistemologia gravitației cuantice.Nicolae Sfetcu - manuscript
    Din punct de vedere metodologic, atât Newton cât și Einstein, și ulterior Dirac, au susținut fără rezerve principiul simplității matematice în descoperirea noilor legi fizice ale naturii. Lor li s-au alăturat și Poincaré și Weyl. Eduard Prugovecki afirmă că gravitația cuantică a impus luarea în considerare a unor întrebări epistemologice fundamentale, care pot fi identificate în filosofie cu problema minții-corp și cu problema liberului arbitru. Aceste întrebări au influențat epistemologia mecanicii cuantice sub forma "paralelismului psiho-fizic" al lui von Neumann (...)
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  27. A Review of The Algebraic Approaches to Quantum Mechanics. Some Appraisals of Their Theoretical Importance.Antonino Drago - manuscript
    The main algebraic foundations of quantum mechanics are quickly reviewed. They have been suggested since the birth of this theory till up to last years. They are the following ones: Heisenberg-Born- Jordan’s (1925), Weyl’s (1928), Dirac’s (1930), von Neumann’s (1936), Segal’s (1947), T.F. Jordan’s (1986), Morchio and Strocchi’s (2009) and Buchholz and Fregenhagen’s (2019). Four cases are stressed: 1) the misinterpretation of Dirac’s algebraic foundation; 2) von Neumann’s ‘conversion’ from the analytic approach of Hilbert space to the algebraic (...)
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  28. Logical Types in Quantum Mechanics.Andrew Soltau - manuscript
    Barbour shows that time does not exist in the physical world, and similar conclusions are reached by others such as Deutsch, Davies and Woodward. Every possible configuration of a physical environment simply exists in the universe. The system is objectively static. Observation, however, is an inherently transtemporal phenomenon, involving actual or effective change of the configuration, collapse. Since, in a static environment, all possible configurations exist, transtemporal reality is of the logical type of a movie. The frame of a movie (...)
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  29. A Survey on Uncertainty Relations and Quantum Measurements: Arguments for Lucrative Parsimony in Approaches of Matters.Dumitru Spiridon - 2021 - Progress in Physics 17 (1):38-70.
    This survey tries to investigate the truths and deficiencies of prevalent philosophy about Uncertainty Relations (UR) and Quantum Measurements (QMS). The respective philosophy, known as being eclipsed by unfinished controversies, is revealed to be grounded on six basic precepts. But one finds that all the respective precepts are discredited by insurmountable deficiencies. So, in regard to UR, the alluded philosophy discloses oneself to be an unjustified mythology. Then UR appear either as short-lived historical conventions or as simple and limited mathematical (...)
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  30. On Heisenberg's Notion of a Closed Theory (2013).Francois-Igor Pris - manuscript
    I claim that Heisenberg’s notion of a closed theory and its analysis by Erhard Scheibe fit well with the philosophy of later Wittgenstein or its generalization. The notion of a closed theory corresponds to the notions of a form of life and rule/concept. I suggest the possibility of reconciling the views of Heisenberg, Dirac, and Bohr about inter-theoretical relations within a rational naturalistic pragmatism à la Wittgenstein and Robert Brandom’s analytic interpretation of Kantian synthetic unity of apperception. In particular, (...)
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  31. On the Philosophical Views of Werner Heisenberg.Francois-Igor Pris - 2014 - NB Philosophical Investigations (Russian E-Journal) (8):25-71.
    Я интерпретирую философские взгляды Вернера Гайзенберга как прагматизм и неметафизический реализм виттгенштайновского типа. «Замкнутая теория» – виттгенштайновское правило/концепт. В отличие от Бокулич, предпочитающей позицию Дирака относительно природы связей между различными физическими теориями, я отдаю предпочтение позиции Гайзенберга. Моя позиция, интерпретирующая Гайзенберга, также прямо противоположна позиции Поппера: критерием устоявшейся научной (замкнутой) теории является её нефальсифицируемость. -/- I interpret philosophical views of Werner Heisenberg as a pragmatism and non-metaphysical realism of a Wittgensteinian kind. The “closed theory” is a Wittgensteinian rule/concept. Unlike Alisa (...)
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  32. Proofs are Programs: 19th Century Logic and 21st Century Computing.Philip Wadler - manuscript
    As the 19th century drew to a close, logicians formalized an ideal notion of proof. They were driven by nothing other than an abiding interest in truth, and their proofs were as ethereal as the mind of God. Yet within decades these mathematical abstractions were realized by the hand of man, in the digital stored-program computer. How it came to be recognized that proofs and programs are the same thing is a story that spans a century, a chase with as (...)
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  33. A Remark on how a Consciousness Model and Entanglement can lead us to Quantum Communication.Victor Christianto, Robert N. Boyd & Florentin Smarandache - manuscript
    In a recent paper, we describe how a model of quantum communication based on combining consciousness experiment and entanglement can serve as impetus to stop 5G-caused diseases. Therefore, in this paper we will discuss how entanglement can be explained in terms of quantum theory. This short review may be considered as an effort to bring QM into real problem solving, i.e. telecommunication.
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  34. 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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  35. (15 other versions)(August 2022 to 2014) The UNBELIEVABLE similarities between the ideas of some people (2011-2016) and my ideas (2002-2008) in physics (quantum mechanics, cosmology), cognitive neuroscience, philosophy of mind, and philosophy.Gabriel Vacariu - 2022 - Dissertation, Bucharest University
    The main ideas of the EDWs perspective are in Gabriel Vacariu’s PhD thesis posted online by UNSW (Australia) in 2007!!! I have realized the GREATEST discovery in the history of human knowledge: the EDWs! With discovering the EDWs, I have changed everything in Philosophy, Physics and Cognitive Neuroscience! This has been the main reason, so many people have published UNBELIEVABLE similar ideas to my ideas, many years I published my first works! -/- UNBELIEVABLE, many (hundreds) “great” or small thinkers did (...)
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