Results for 'mathematical electron'

967 found
Order:
  1.  17
    Takakazu Simauti. Mechanization of mathematics. Electronics and communications in Japan, vol. 46 no. 11 , pp. 64–70.H. Enderton - 1970 - Journal of Symbolic Logic 35 (3):484.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  2.  21
    A mathematical model and an electronic model for learning.L. Benjamin Wyckoff - 1954 - Psychological Review 61 (2):89-97.
    No categories
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  3.  17
    Wave Propagation: From Electrons to Photonic Crystals and Left-Handed Materials.Peter Markos & Costas M. Soukoulis - 2008 - Princeton University Press.
    This textbook offers the first unified treatment of wave propagation in electronic and electromagnetic systems and introduces readers to the essentials of the transfer matrix method, a powerful analytical tool that can be used to model and study an array of problems pertaining to wave propagation in electrons and photons. It is aimed at graduate and advanced undergraduate students in physics, materials science, electrical and computer engineering, and mathematics, and is ideal for researchers in photonic crystals, negative index materials, left-handed (...)
    Direct download  
     
    Export citation  
     
    Bookmark  
  4. Of Numbers and Electrons.Cian Dorr - 2010 - Proceedings of the Aristotelian Society 110 (2pt2):133-181.
    According to a tradition stemming from Quine and Putnam, we have the same broadly inductive reason for believing in numbers as we have for believing in electrons: certain theories that entail that there are numbers are better, qua explanations of our evidence, than any theories that do not. This paper investigates how modal theories of the form ‘Possibly, the concrete world is just as it in fact is and T’ and ‘Necessarily, if standard mathematics is true and the concrete world (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   23 citations  
  5.  13
    Mathematical methods in interdisciplinary sciences.Snehashish Chakraverty (ed.) - 2020 - Hoboken, NJ: Wiley.
    This book examines the interface between mathematics and applied sciences. The editor examines the present and future needs for the interaction between various science and engineering areas. This edited book brings together the cutting-edge research on mathematics, combining various fields of science and engineering. The book begins with an introduction to computing and modeling. Next, computation and modeling trends are covered, along with chapters on structural static and vibration problems, heat conduction and diffusion problems, and fluid dynamics problems. Soft computing (...)
    No categories
    Direct download  
     
    Export citation  
     
    Bookmark  
  6. Experimental Mathematics.Alan Baker - 2008 - Erkenntnis 68 (3):331-344.
    The rise of the field of “ experimental mathematics” poses an apparent challenge to traditional philosophical accounts of mathematics as an a priori, non-empirical endeavor. This paper surveys different attempts to characterize experimental mathematics. One suggestion is that experimental mathematics makes essential use of electronic computers. A second suggestion is that experimental mathematics involves support being gathered for an hypothesis which is inductive rather than deductive. Each of these options turns out to be inadequate, and instead a third suggestion is (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   17 citations  
  7.  55
    Computers as a Source of A Posteriori Knowledge in Mathematics.Mikkel Willum Johansen & Morten Misfeldt - 2016 - International Studies in the Philosophy of Science 30 (2):111-127.
    Electronic computers form an integral part of modern mathematical practice. Several high-profile results have been proven with techniques where computer calculations form an essential part of the proof. In the traditional philosophical literature, such proofs have been taken to constitute a posteriori knowledge. However, this traditional stance has recently been challenged by Mark McEvoy, who claims that computer calculations can constitute a priori mathematical proofs, even in cases where the calculations made by the computer are too numerous to (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  8.  43
    Burks Arthur W.. The logic of programming electronic digital computers. Industrial mathematics , vol. 1 , pp. 36–52.A. M. Turing - 1953 - Journal of Symbolic Logic 18 (2):179-179.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  9. 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 (...)
    Direct download  
     
    Export citation  
     
    Bookmark  
  10.  62
    Quantum mathematical cognition requires quantum brain biology: The “Orch OR” theory.Stuart R. Hameroff - 2013 - Behavioral and Brain Sciences 36 (3):287-290.
    The theory suggests that quantum computations in brain neuronal dendritic-somatic microtubules regulate axonal firings to control conscious behavior. Within microtubule subunit proteins, collective dipoles in arrays of contiguous amino acid electron clouds enable suitable for topological dipole able to physically represent cognitive values, for example, those portrayed by Pothos & Busemeyer (P&B) as projections in abstract Hilbert space.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  11. Two Paradoxes of Common Knowledge: Coordinated Attack and Electronic Mail.Harvey Lederman - 2018 - Noûs 52 (4):921-945.
    The coordinated attack scenario and the electronic mail game are two paradoxes of common knowledge. In simple mathematical models of these scenarios, the agents represented by the models can coordinate only if they have common knowledge that they will. As a result, the models predict that the agents will not coordinate in situations where it would be rational to coordinate. I argue that we should resolve this conflict between the models and facts about what it would be rational to (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   12 citations  
  12.  73
    Vaughan R. Pratt. Semantical considerations on Floyd–Hoare logic. 17th Annual Symposium on Foundations of Computer Science, Institute of Electrical and Electronics Engineers, New York1976, pp. 109–121. - Michael J. Fischer and Richard E. Ladner. Propositional dynamic logic of regular programs. Journal of computer and system sciences, vol. 18 , pp. 194–211. - Krister Segerberg. A completeness theorem in the modal logic of programs. Universal algebra and applications. Papers presented at Stefan Banach International Mathematical Center at the semester “Universal algebra and applications” held February 15–June 9, 1978, edited by Tadeuz Traczyk, Banach Center Publications, vol. 9, PWN—Polish Scientific Publishers, Warsaw1982, pp. 31–46. - Rohit Parikh. The completeness of propositional dynamic logic. Mathematical foundations of computer science 1978, Proceedings, 7th symposium, Zakopane, Poland, September 4–8, 1978, edited by J. Winkowski, Lecture notes in computer science, vol. 64, Springe. [REVIEW]Robert Goldblatt - 1986 - Journal of Symbolic Logic 51 (1):225-227.
  13.  74
    Michael A. Harrison. The number of transitivity sets of Boolean functions. Journal of the Society for Industrial and Applied Mathematics, t. 11 , p. 806–828. - Michael A. Harrison. The number of equivalence classes of Boolean functions under groups containing negation. IEEE transactions on electronic computers, t. EC-12 , p. 559–561. - Michael A. Harrison. On the number of classes of switching networks. Journal of the Franklin Institute, t. 276 , p. 313–327. - Michael A. Harrison. The number of classes of invertible Boolean functions. Journal of the Association for Computing Machinery, t. 10 , p. 25–28. [REVIEW]J. Kuntzmann - 1970 - Journal of Symbolic Logic 35 (1):160-161.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark  
  14. (1 other version)Platonism in the Philosophy of Mathematics.Øystein Linnebo - forthcoming - Stanford Encyclopedia of Philosophy.
    Platonism about mathematics (or mathematical platonism) isthe metaphysical view that there are abstract mathematical objectswhose existence is independent of us and our language, thought, andpractices. Just as electrons and planets exist independently of us, sodo numbers and sets. And just as statements about electrons and planetsare made true or false by the objects with which they are concerned andthese objects' perfectly objective properties, so are statements aboutnumbers and sets. Mathematical truths are therefore discovered, notinvented., Existence. There are (...)
    Direct download  
     
    Export citation  
     
    Bookmark   46 citations  
  15.  41
    The Classical Electron Problem.Tepper L. Gill, W. W. Zachary & J. Lindesay - 2001 - Foundations of Physics 31 (9):1299-1355.
    In this paper, we construct a parallel image of the conventional Maxwell theory by replacing the observer-time by the proper-time of the source. This formulation is mathematically, but not physically, equivalent to the conventional form. The change induces a new symmetry group which is distinct from, but closely related to the Lorentz group, and fixes the clock of the source for all observers. The new wave equation contains an additional term (dissipative), which arises instantaneously with acceleration. This shows that the (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  16.  18
    Introduction to Mathematics of Satisfiability.Victor W. Marek - 2009 - Taylor & Francis.
    From electronic design problems to resolution proofs to SAT solvers, this book focuses on the satisfiabilityof theories that consist of propositional logic ...
    Direct download  
     
    Export citation  
     
    Bookmark  
  17. The Mathematical Basis of Creation in Hinduism.Mukundan P. R. - 2022 - In The Modi-God Dialogues: Spirituality for a New World Order. New Delhi: Akansha Publishing House. pp. 6-14.
    The Upanishads reveal that in the beginning, nothing existed: “This was but non-existence in the beginning. That became existence. That became ready to be manifest”. (Chandogya Upanishad 3.15.1) The creation began from this state of non-existence or nonduality, a state comparable to (0). One can add any number of zeros to (0), but there will be nothing except a big (0) because (0) is a neutral number. If we take (0) as Nirguna Brahman (God without any form and attributes), then (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  18.  39
    Charge Conservation, Klein’s Paradox and the Concept of Paulions in the Dirac Electron Theory: New Results for the Dirac Equation in External Fields.Y. V. Kononets - 2010 - Foundations of Physics 40 (5):545-572.
    An algebraic block-diagonalization of the Dirac Hamiltonian in a time-independent external field reveals a charge-index conservation law which forbids the physical phenomena of the Klein paradox type and guarantees a single-particle nature of the Dirac equation in strong external fields. Simultaneously, the method defines simpler quantum-mechanical objects—paulions and antipaulions, whose 2-component wave functions determine the Dirac electron states through exact operator relations. Based on algebraic symmetry, the presented theory leads to a new understanding of the Dirac equation physics, including (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  19.  19
    Neo-classical Relativistic Mechanics Theory for Electrons that Exhibits Spin, Zitterbewegung, Dipole Moments, Wavefunctions and Dirac’s Wave Equation.James L. Beck - 2023 - Foundations of Physics 53 (3):1-39.
    In this work, a neo-classical relativistic mechanics theory is presented where the spin of an electron is an inherent part of its world space-time path as a point particle. The fourth-order equation of motion corresponds to the same covariant Lagrangian function in proper time as in special relativity except for an additional spin energy term. The theory provides a hidden-variable model of the electron where the dynamic variables give a complete description of its motion, giving a classical mechanics (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  20.  68
    On Virtual Phonons, Photons, and Electrons.Günter Nimtz - 2009 - Foundations of Physics 39 (12):1346-1355.
    A macroscopic realization of the peculiar virtual particles is presented. The classical Helmholtz and the Schrödinger equations are differential equations of the same mathematical structure. The solutions with an imaginary wave number are called evanescent modes in the case of elastic and electromagnetic fields. In the case of non-relativistic quantum mechanical fields they are called tunneling solutions. The imaginary wave numbers point to strange consequences: The waves are non-local, they are not observable, and they are described as virtual particles. (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  21.  49
    Infons as mathematical objects.Keith J. Devlin - 1992 - Minds and Machines 2 (2):185-201.
    I argue that the role played by infons in the kind of mathematical theory of information being developed by several workers affiliated to CSLI is analogous to that of the various number systems in mathematics. In particular, I present a mathematical construction of infons in terms of representations and informational equivalences between them. The main theme of the paper arose from an electronic mail exchange with Pat Hayes of Xeroxparc. The exposition derives from a talk I gave at (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  22.  27
    Agent based Mathematical Reasoning.Christoph Benzmüller, Mateja Jamnik, Manfred Kerber & Volker Sorge - 1999 - Electronic Notes in Theoretical Computer Science, Elsevier 23 (3):21-33.
    In this contribution we propose an agent architecture for theorem proving which we intend to investigate in depth in the future. The work reported in this paper is in an early state, and by no means finished. We present and discuss our proposal in order to get feedback from the Calculemus community.
    No categories
    Direct download  
     
    Export citation  
     
    Bookmark   2 citations  
  23.  25
    George Spencer Brown's "Design with the NOR": with related essays.Steffen J. Roth, Markus Heidingsfelder, Lars Clausen, Klaus Brønd Laursen & G. Spencer-Brown (eds.) - 2021 - Bingley, UK: Emerald Publishing.
    George Spencer Brown, a polymath and author of Laws of Form, brought together mathematics, electronics, engineering and philosophy to form an unlikely bond. This book investigates Design with the NOR, the title of the yet unpublished 1961 typescript by Spencer Brown. The typescript formed through the author's experiences as technical engineer and developer of a new form of switching algebra for Mullard Equipment LTD., a British manufacturer of electronic components. Related essays contextualise the typescript drawing on a variety of backgrounds (...)
    Direct download  
     
    Export citation  
     
    Bookmark  
  24.  16
    Taxonomy Based Models for Reasoning: Making Inferences from Electronic Road Sign Information.Brigitte Lavalette, Charles Tijus, Christine Leproux & Olivier Bauer - 2005 - Foundations of Science 10 (1):25-45.
    Taxonomy Based modeling was applied to describe drivers’ mental models of variable message signs (VMS’s) displayed on expressways. Progress in road telematics has made it possible to introduce variable message signs (VMS’s). Sensors embedded in the carriageway every 500m record certain variables (speed, flow rate, etc.) that are transformed in real time into “driving times” to a given destination if road conditions do not change.VMS systems are auto-regulative Man-Machine (AMMI) systems which incorporate a model of the user: if the traffic (...)
    Direct download  
     
    Export citation  
     
    Bookmark  
  25.  68
    An Intuitionistic Model of Single Electron Interference.J. V. Corbett & T. Durt - 2010 - Studia Logica 95 (1-2):81-100.
    The double slit experiment for a massive scalar particle is described using intuitionistic logic with quantum real numbers as the numerical values of the particle's position and momentum. The model assigns physical reality to single quantum particles. Its truth values are given open subsets of state space interpreted as the ontological conditions of a particle. Each condition determines quantum real number values for all the particle's attributes. Questions, unanswerable in the standard theories, concerning the behaviour of single particles in the (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  26.  35
    Ones and Zeros: Understanding Boolean Algebra, Digital Circuits, and the Logic of Sets.John Gregg - 1998 - IEEE Pres.
    This book explains, in lay terms, the surprisingly simple system of mathematical logic used in digital computer circuitry. Anecdotal in its style and often funny, it follows the development of this logic system from its origins in Victorian England to its rediscovery in this century as the foundation of all modern computing machinery. ONES AND ZEROS will be enjoyed by anyone who has a general interest in science and technology.
    Direct download  
     
    Export citation  
     
    Bookmark  
  27.  12
    Mathematische Logik mik Informatik-Anwendungen.Eberhard Bergmann - 1977 - New York: Springer Verlag. Edited by Helga Noll.
    Theory of Computation -- Mathematical Logic and Formal Languages.
    Direct download  
     
    Export citation  
     
    Bookmark  
  28.  18
    Number crunching vs. number theory: computers and FLT, from Kummer to SWAC (1850–1960), and beyond.Leo Corry - 2008 - Archive for History of Exact Sciences 62 (4):393-455.
    The present article discusses the computational tools (both conceptual and material) used in various attempts to deal with individual cases of FLT, as well as the changing historical contexts in which these tools were developed and used, and affected research. It also explores the changing conceptions about the role of computations within the overall disciplinary picture of number theory, how they influenced research on the theorem, and the kinds of general insights thus achieved. After an overview of Kummer’s contributions and (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  29.  12
    The Theory of Indistinguishables: A Search for Explanatory Principles Below the Level of Physics.A. F. Parker-Rhodes - 1981 - Springer.
    It is widely assumed that there exist certain objects which can in no way be distinguished from each other, unless by their location in space or other reference-system. Some of these are, in a broad sense, 'empirical objects', such as electrons. Their case would seem to be similar to that of certain mathematical 'objects', such as the minimum set of manifolds defining the dimensionality of an R -space. It is therefore at first sight surprising that there exists no branch (...)
    Direct download  
     
    Export citation  
     
    Bookmark   1 citation  
  30.  9
    Navigating Through Reasoning and Proof in Grades 9-12.Maurice Joseph Burke (ed.) - 2008 - National Council of Teachers of Mathematics.
    This book's activities highlight the important cycle of exploration, conjecture, and justification in all five mathematical strands. Students recognize patterns and make conjectures, learn the value of a counterexample, explore the strengths and weaknesses of visual proofs, discover the power of algebraic representations, and learn that theoretical approaches can substantiate empirical results. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers. --publisher description.
    Direct download  
     
    Export citation  
     
    Bookmark  
  31.  23
    Reading Gauss in the Computer Age: On the U.S. Reception of Gauss’s Number Theoretical Work (1938–1989).Maarten Bullynck - 2009 - Archive for History of Exact Sciences 63 (5):553-580.
    C.F Gauss’s computational work in number theory attracted renewed interest in the twentieth century due to, on the one hand, the edition of Gauss’s Werke, and, on the other hand, the birth of the digital electronic computer. The involvement of the U.S. American mathematicians Derrick Henry Lehmer and Daniel Shanks with Gauss’s work is analysed, especially their continuation of work on topics as arccotangents, factors of n2 + a2, composition of binary quadratic forms. In general, this strand in Gauss’s reception (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  32.  37
    Las imágenes y la lógica del cono de luz: rastreando el giro postulacional de Robb en la física geométrica.Jordi Cat - 2016 - Revista de Humanidades de Valparaíso 8:43-105.
    Previous discussions of Robb’s work on space and time have offered a philosophical focus on causal interpretations of relativity theory or a historical focus on his use of non-Euclidean geometry, or else ignored altogether in discussions of relativity at Cambridge. In this paper I focus on how Robb’s work made contact with those same foundational developments in mathematics and with their applications. This contact with applications of new mathematical logic at Göttingen and Cambridge explains the transition from his (...) research to his treatment of relativity in 1911 and finally to the axiomatic presentation in 1914 in terms of postulates. At the heart of Robb’s physical optics was the model of the light cone. The model underwent a transition from a working mechanical model in the Maxwellian Cambridge sense of a pedagogical and research tool to the semantic model, in the logical, model-theoretic sense. Robb tracked this transition from the 19th- to the 20th-century conception with the earliest use of the term ‘model’ in the new sense. I place his cone models in a genealogy of similar models and use their evolution to track how Robb’s physical researches were informed by his interest in geometry, logic and the foundations of mathematics. (shrink)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  33.  35
    Alan Turing's Automatic Computing Engine: The Master Codebreaker's Struggle to build the Modern Computer.B. Jack Copeland (ed.) - 2005 - Oxford University Press.
    The mathematical genius Alan Turing, well known for his crucial wartime role in breaking the ENIGMA code, was the first to conceive of the fundamental principle of the modern computer. This text contains first hand accounts by Turing and by the pioneers of computing who worked with him on his revolutionary design for an electronic computing machine - his Automatic Computing Engine.
    Direct download  
     
    Export citation  
     
    Bookmark   3 citations  
  34.  15
    Logic, Probability and Science.Niall Shanks & Robert B. Gardner (eds.) - 2000 - Atlanta: Rodopi.
    Otdvio Bueno, Empiricism, Mathematical Truth and Mathematical Knowledge 219 Commentary by Chuang Liu. Reply by Bueno. Chuang Liu, Coins and Electrons: A ...
    Direct download  
     
    Export citation  
     
    Bookmark  
  35.  24
    J. J. Thomson on the Nature of Matter: Corpuscles and the Continuum.Jaume Navarro - 2005 - Centaurus 47 (4):259-282.
    Historical accounts of the work of J. J. Thomson find a contradiction in his work. On the one hand, he is presented as a Maxwellian theoretical physicist dealing with a typically Victorian entity, the ether. On the other hand, the analysis of his experimental work at the Cavendish seems to have little connection with his mathematical work. In this paper, I discuss the metaphysical views of J. J. Thomson, and argue that his deep belief in the ultimate continuity of (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  36.  17
    Technical Careers for Women: a Perspective From Rural Appalachia.Michael N. Bishara - 1987 - Bulletin of Science, Technology and Society 7 (1-2):260-272.
    The onset of the electronics-based information revolution will augur changes in the sociological perceptions of 'suitable careers' for women. This phenomenon is particularly evident in rural Appalachia. A planned, systematic delivery system was designed, developed, and implemented by Southwest Virginia Community College to introduce women to the challenges and possibilities of technical careers. This was accomplished through a gradualized phase-in to Technological Literacy, followed by in-depth involvement, culminating in an industrial internship experience. A special curriculum was designed to ease the (...)
    No categories
    Direct download  
     
    Export citation  
     
    Bookmark  
  37. Streaching the notion of moral responsibility in nanoelectronics by appying AI.Robert Albin & Amos Bardea - 2021 - In Robert Albin & Amos Bardea, Ethics in Nanotechnology Social Sciences and Philosophical Aspects, Vol. 2. Berlin: De Gruyter. pp. 75-87.
    The development of machine learning and deep learning (DL) in the field of AI (artificial intelligence) is the direct result of the advancement of nano-electronics. Machine learning is a function that provides the system with the capacity to learn from data without being programmed explicitly. It is basically a mathematical and probabilistic model. DL is part of machine learning methods based on artificial neural networks, simply called neural networks (NNs), as they are inspired by the biological NNs that constitute (...)
    Direct download  
     
    Export citation  
     
    Bookmark  
  38.  6
    Digital Techniques 3 Checkbook.J. O. Bird & R. E. Vears - 1983
    No categories
    Direct download  
     
    Export citation  
     
    Bookmark  
  39. Abstract Entities.Sam Cowling - 2017 - New York: Routledge.
    Think of a number, any number, or properties like fragility and humanity. These and other abstract entities are radically different from concrete entities like electrons and elbows. While concrete entities are located in space and time, have causes and effects, and are known through empirical means, abstract entities like meanings and possibilities are remarkably different. They seem to be immutable and imperceptible and to exist "outside" of space and time. This book provides a comprehensive critical assessment of the problems raised (...)
  40.  81
    Self-Energy and Action Principle in Relativistic Schrödinger Theory.P. Schust, F. Stary, M. Mattes & M. Sorg - 2005 - Foundations of Physics 35 (6):1043-1105.
    The mathematical framework of Relativistic Schrödinger Theory (RST) is generalized in order to include the self-interactions of the particles as an integral part of the theory (i.e. in a non-perturbative way). The extended theory admits a Lagrangean formulation where the Noether theorems confirm the existence of the conservation laws for charge and energy–momentum which were originally deduced directly from the dynamical equations. The generalized RST dynamics is applied to the case of some heavy helium-like ions, ranging from germanium (Z=32) (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  41.  4
    Digital Techniques 2 Checkbook.J. O. Bird & A. J. C. May - 1982
    No categories
    Direct download  
     
    Export citation  
     
    Bookmark  
  42.  58
    A Persistent Particle Ontology for Quantum Field Theory in Terms of the Dirac Sea.Dirk-André Deckert, Michael Esfeld & Andrea Oldofredi - 2019 - British Journal for the Philosophy of Science 70 (3):747-770.
    We show that the Bohmian approach in terms of persisting particles that move on continuous trajectories following a deterministic law can be literally applied to quantum field theory. By means of the Dirac sea model—exemplified in the electron sector of the standard model neglecting radiation—we explain how starting from persisting particles, one is led to standard QFT employing creation and annihilation operators when tracking the dynamics with respect to a reference state, the so-called vacuum. Since on the level of (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   11 citations  
  43.  31
    Electronegativity provides the relationship between formal charge, oxidation state, and actual charge.Balakrishnan Viswanathan & M. Shajahan Gulam Razul - 2022 - Foundations of Chemistry 25 (1):5-28.
    Formal charge and oxidation state are two means of estimating the charge of an atom in a molecule. Though these concepts have very different origins—formal charge is derived from the ball-and-hook model of bonding and oxidation state is based on the ionic approximation of molecules—they are used to predict reactivity and other molecular properties through their properties as charges. In this submission, it is shown that formal charge and oxidation state are two extreme descriptions of bonding: formal charge represents zero (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  44.  53
    A beautiful sea: P. A. M. Dirac's epistemology and ontology of the vacuum.Aaron Sidney Wright - 2016 - Annals of Science 73 (3):225-256.
    This paper charts P.A.M. Dirac’s development of his theory of the electron, and its radical picture of empty space as an almost-full plenum. Dirac’s Quantum Electrodynamics famously accomplished more than the unification of special relativity and quantum mechanics. It also accounted for the ‘duplexity phenomena’ of spectral line splitting that we now attribute to electron spin. But the extra mathematical terms that allowed for spin were not alone, and this paper charts Dirac’s struggle to ignore or account (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  45. Explaining the periodic table, and the role of chemical triads.Eric Scerri - 2010 - Foundations of Chemistry 12 (1):69-83.
    Some recent work in mathematical chemistry is discussed. It is claimed that quantum mechanics does not provide a conclusive means of classifying certain elements like hydrogen and helium into their appropriate groups. An alternative approach using atomic number triads is proposed and the validity of this approach is defended in the light of some predictions made via an information theoretic approach that suggests a connection between nuclear structure and electronic structure of atoms.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   8 citations  
  46.  28
    Images and Logic of the Light Cone: Tracking Robb’s Postulational Turn in Physical Geometry.Jordi Cat - 2016 - Revista de Humanidades de Valparaíso 8:39-100.
    Previous discussions of Robb’s work on space and time have offered a philosophical focus on causal interpretations of relativity theory or a historical focus on his use of non-Euclidean geometry, or else ignored altogether in discussions of relativity at Cambridge. In this paper I focus on how Robb’s work made contact with those same foundational developments in mathematics and with their applications. This contact with applications of new mathematical logic at Göttingen and Cambridge explains the transition from his (...) research to his treatment of relativity in 1911 and finally to the axiomatic presentation in 1914 in terms of postulates. At the heart of Robb’s physical optics was the model of the light cone. The model underwent a transition from a working mechanical model in the Maxwellian Cambridge sense of a pedagogical and research tool to the semantic model, in the logical, model-theoretic sense. Robb tracked this transition from the 19th- to the 20th-century conception with the earliest use of the term ‘model’ in the new sense. I place his cone models in a genealogy of similar models and use their evolution to track how Robb’s physical researches were informed by his interest in geometry, logic and the foundations of mathematics. (shrink)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  47.  52
    (1 other version)The role of idealizations in the Aharonov–Bohm effect.John Earman - 2017 - Synthese:1-29.
    On standard accounts of scientific theorizing, the role of idealizations is to facilitate the analysis of some real world system by employing a simplified representation of the target system, raising the obvious worry about how reliable knowledge can be obtained from inaccurate descriptions. The idealizations involved in the Aharonov–Bohm effect do not, it is claimed, fit this paradigm; rather the target system is a fictional system characterized by features that, though physically possible, are not realized in the actual world. The (...)
    No categories
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   16 citations  
  48.  13
    Cassirer's Structural Realism.Georges Ibongu - 2011 - Logos Verlag.
    In this book Georges Ibongu shows that Ernst Cassirer adopts a sort of structural realism in his writings on physics. Cassirer does not deny the existence of physical entities. For him, however, a physical entity loses its absolute fixity and is involved in the process of physical knowledge. The electron is a definite object but cannot, as an individual, be designated by being here and now. The individuality of simple particles means, for Cassirer, that they are only describable as (...)
    Direct download  
     
    Export citation  
     
    Bookmark   2 citations  
  49.  55
    On the Ontological Status of Molecular Structure: Is it Possible to Reconcile Molecular Chemistry with Quantum Mechanics?Sebastian Fortin, Martín Labarca & Olimpia Lombardi - 2022 - Foundations of Science 28 (2):709-725.
    According to classical molecular chemistry, molecules have a structure, that is, they are sets of atoms with a definite arrangements in space and held together by chemical bonds. The concept of molecular structure is central to modern chemical thought given its impressive predictive power. It is also a very useful concept in chemistry education, due to its role in the rationalization and visualization of microscopic phenomena. However, such a concept seems to find no place in the ontology described by quantum (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark  
  50.  31
    Derivation from Bloch Equation to von Neumann Equation to Schrödinger–Pauli Equation.Lihong V. Wang - 2022 - Foundations of Physics 52 (3):1-11.
    The transition from classical physics to quantum mechanics has been mysterious. Here, we mathematically derive the space-independent von Neumann equation for electron spin from the classical Bloch equation. Subsequently, the space-independent Schrödinger–Pauli equation is derived in both the quantum mechanical and recently developed co-quantum dynamic frameworks.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
1 — 50 / 967