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  1. Analytic Stochastic Regularization: Gauge and Supersymmetric Theories.M. C. B. Abdalla - 1988 - Scientia 52:273.
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  2. Nonadiabatic Geometric Phase in Quaternionic Hilbert Space.Stephen L. Adler & Jeeva Anandan - 1996 - Foundations of Physics 26 (12):1579-1589.
    We develop the theory of the nonadiabatic geometric phase, in both the Abelian and non-Abelian cases, in quaternionic Hilbert space.
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  3. Is the World Made of Loops?Alexander Afriat - manuscript
    In discussions of the Aharonov-Bohm effect, Healey and Lyre have attributed reality to loops $\sigma_0$ (or hoops $[\sigma_0]$), since the electromagnetic potential $A$ is currently unmeasurable and can therefore be transformed. I argue that $[A]=[A+d\lambda]_{\lambda}$ and the hoop $[\sigma_0]$ are related by a meaningful duality, so that however one feels about $[A]$ (or any potential $A\in[A]$), it is no worse than $[\sigma_0]$ (or any loop $\sigma_0\in[\sigma_0]$): no ontological firmness is gained by retreating to the loops, which are just as flimsy (...)
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  4. Logic of Gauge.Alexander Afriat - unknown
    The logic of gauge theory is considered by tracing its development from general relativity to Yang-Mills theory, through Weyl's two gauge theories. A handful of elements---which for want of better terms can be called \emph{geometrical justice}, \emph{matter wave}, \emph{second clock effect}, \emph{twice too many energy levels}---are enough to produce Weyl's second theory; and from there, all that's needed to reach the Yang-Mills formalism is a \emph{non-Abelian structure group} (say $\mathbb{SU}\textrm{(}N\textrm{)}$).
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  5. Shortening the Gauge Argument.Alexander Afriat - unknown
    The ''gauge argument'' is often used to 'deduce' interactions from a symmetry requirement. A transition---whose justification can take some effort---from global to local transformations is typically made at the beginning of the argument. But one can spare the trouble by \emph{starting} with local transformations, as global ones do not exist in general. The resulting economy seems noteworthy.
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  6. Weyl's Gauge Argument.Alexander Afriat - 2013 - Foundations of Physics 43 (5):699-705.
    The standard $\mathbb{U}(1)$ “gauge principle” or “gauge argument” produces an exact potential A=dλ and a vanishing field F=d 2 λ=0. Weyl (in Z. Phys. 56:330–352, 1929; Rice Inst. Pam. 16:280–295, 1929) has his own gauge argument, which is sketchy, archaic and hard to follow; but at least it produces an inexact potential A and a nonvanishing field F=dA≠0. I attempt a reconstruction.
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  7. Markov Cosurfaces and Gauge Fields.S. Albeverio, R. Høegh-Krohn & H. Holden - 1984 - In Heinrich Mitter & Ludwig Pittner (eds.), Stochastic Methods and Computer Techniques in Quantum Dynamics. Springer Verlag. pp. 211--231.
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  8. Quantum Phase Shift Caused by Spatial Confinement.B. E. Allman, A. Cimmino, S. L. Griffin & A. G. Klein - 1999 - Foundations of Physics 29 (3):325-332.
    This paper presents the results of optical interferometry experiments in which the phase of photons in one arm of a Mach-Zehnder interferometer is modified by applying a transverse constriction. An equivalent quantum interferometry experiment using neutron de Broglie waves is discussed in which the observed phase shift is in the spirit of the force-free phase shift of the Aharonov-Bohm effects. In the optical experiments the experimental results are in excellent agreement with predictions.
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  9. Unifying Geometrical Representations of Gauge Theory.Scott Alsid & Mario Serna - 2015 - Foundations of Physics 45 (1):75-103.
    We unify three approaches within the vast body of gauge-theory research that have independently developed distinct representations of a geometrical surface-like structure underlying the vector-potential. The three approaches that we unify are: those who use the compactified dimensions of Kaluza–Klein theory, those who use Grassmannian models models) to represent gauge fields, and those who use a hidden spatial metric to replace the gauge fields. In this paper we identify a correspondence between the geometrical representations of the three schools. Each school (...)
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  10. Some Remarks on Relational Nature of Gauge Symmetry.M. M. Amaral - unknown
    We review the gauge theories on the relational point of view. With this new insight we approach the Yang Mills theories and the problem of confinement. We point out that we can intuit the relational gauge nature from the Gribov mechanism in the study of confinement in strong coupled gauge theories.
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  11. On the Hypotheses Underlying Physical Geometry.J. Anandan - 1980 - Foundations of Physics 10 (7-8):601-629.
    The relationship between physics and geometry is examined in classical and quantum physics based on the view that the symmetry group of physics and the automorphism group of the geometry are the same. Examination of quantum phenomena reveals that the space-time manifold is not appropriate for quantum theory. A different conception of geometry for quantum theory on the group manifold, which may be an arbitrary Lie group, is proposed. This provides a unified description of gravity and gauge fields as well (...)
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  12. Operator Derivation of the Gauge-Invariant Proca and Lehnert Equations; Elimination of the Lorenz Condition.P. K. Anastasovski, T. E. Bearden, C. Ciubotariu, W. T. Coffey, L. B. Crowell, G. J. Evans, M. W. Evans, R. Flower, A. Labounsky, B. Lehnert, P. R. Molnár, S. Roy & J. P. Vigier - 2000 - Foundations of Physics 30 (7):1123-1129.
    Using covariant derivatives and the operator definitions of quantum mechanics, gauge invariant Proca and Lehnert equations are derived and the Lorenz condition is eliminated in U(1) invariant electrodynamics. It is shown that the structure of the gauge invariant Lehnert equation is the same in an O(3) invariant theory of electrodynamics.
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  13. A Comment on the Light-Cone Vacuum in 1+1 Dimensional Super-Yang–Mills Theory.F. Antonuccio, S. Pinsky & S. Tsujimaru - 2000 - Foundations of Physics 30 (3):475-486.
    The discrete light-cone quantization (DLCQ) of a supersymmetric gauge theory in 1+1 dimensions is discussed, with particular attention given to the inclusion of the gauge zero mode. Interestingly, the notorious “zero-mode” problem is now tractable because of special supersymmetric cancellations. In particular, we show that anomalous zero-mode contributions to the currents are absent, in contrast to what is observed in the nonsupersymmetric case. An analysis of the vacuum structure is provided by deriving the effective quantum mechanical Hamiltonian of the gauge (...)
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  14. 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 of (...)
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  15. Gauge Theories and Modern Field Theory.Richard Arnowit & Pran Nath (eds.) - 1976 - MIT Press.
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  16. Inelastic Phase-Shift Analysis.D. Atkinson - unknown
    Phase-shift analysis is a commonly used technique to extract the scattering amplitudes of a two-body strong-interaction scattering process from the experimentally measured quantities | total cross-section, di erential cross-section, polarization and spin-correlation parameters. However, at a xed energy, all the scattering amplitudes can be multiplied by an arbitrary angle-dep phase-factor without a ecting the measurables. It would seem then that the phase of the..
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  17. Running Coupling in Nonperturbative QCD: Bare Vertices and y-Max Approximation.David Atkinson - unknown
    A recent claim that in quantum chromodynamics in the Landau gauge the gluon propagator vanishes in the infrared limit, while the ghost propagator is more singular than a simple pole, is investigated analytically and numerically. This picture is shown to be supported even at the level in which the vertices in the Dyson- Schwinger equations are taken to be bare. The gauge invariant running coupling is shown to be uniquely determined by the equations and to have a large finite infrared (...)
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  18. Quantum Processes Beyond the Aharonov-Bohm Effect.Jürgen Audretsch & Vladimir D. Skarzhinsky - 1998 - Foundations of Physics 28 (5):777-788.
    We consider QED processes in the presence of an infinitely thin and infinitely long straight string with a magnetic flux inside it. The bremsstrahlung from an electron passing by the magnetic string and the electron-positron pair production by a single photon are reviewed. Based on the exact electron and positron solutions of the Dirac equation in the external Aharonov-Bohm potential we present matrix elements for these processes. The dependence of the resulting cross sections on energies, directions, and polarizations of the (...)
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  19. Gauge- and Galilei-Invariant Geometric Phases.Guido Bacciagaluppi - unknown
    Neither geometric phases nor differences in geometric phases are generally invariant under time-dependent unitary transformations (unlike differences in total phases), in particular under local gauge transformations and Galilei transformations. (This was pointed out originally by Aharonov and Anandan, and in the case of Galilei transformations has recently been shown explicitly by Sjoeqvist, Brown and Carlsen.) In this paper, I introduce a phase, related to the standard geometric phase, for which phase differences are both gauge- and Galilei-invariant, and, indeed, invariant under (...)
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  20. Richard Healey:Gauging What's Real: The Conceptual Foundations of Contemporary Gauge Theories,:Gauging What's Real: The Conceptual Foundations of Contemporary Gauge Theories.Jonathan Bain - 2008 - Philosophy of Science 75 (4):479-485.
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  21. Gauging What's Real: The Conceptual Foundations of Gauge Theories, by Richard Healey.David John Baker - 2010 - Mind 119 (474):490-494.
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  22. Review of Richard Healey, Gauging What's Real. [REVIEW]David John Baker - unknown
    Review of Richard Healey's 2008 book. To appear in MIND.
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  23. Topics in Noncommutative Geometry Inspired Physics.Rabin Banerjee, Biswajit Chakraborty, Subir Ghosh, Pradip Mukherjee & Saurav Samanta - 2009 - Foundations of Physics 39 (12):1297-1345.
    In this review article we discuss some of the applications of noncommutative geometry in physics that are of recent interest, such as noncommutative many-body systems, noncommutative extension of Special Theory of Relativity kinematics, twisted gauge theories and noncommutative gravity.
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  24. The Definition of Mach's Principle.Julian Barbour - 2010 - Foundations of Physics 40 (9-10):1263-1284.
    Two definitions of Mach’s principle are proposed. Both are related to gauge theory, are universal in scope and amount to formulations of causality that take into account the relational nature of position, time, and size. One of them leads directly to general relativity and may have relevance to the problem of creating a quantum theory of gravity.
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  25. Holism in the Philosophy of Physics: An Introduction.A. Bartels, H. Lyre & M. Esfeld - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (4):597-599.
  26. Falling Cats, Parallel Parking, and Polarized Light.Robert Batterman - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (4):527-557.
    This paper addresses issues surrounding the concept of geometric phase or "anholonomy". Certain physical phenomena apparently require for their explanation and understanding, reference to toplogocial/geometric features of some abstract space of parameters. These issues are related to the question of how gauge structures are to be interpreted and whether or not the debate over their "reality" is really going to be fruitful.
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  27. Moving Frame Transport and Gauge Transformations.R. G. Beil - 1995 - Foundations of Physics 25 (5):717-742.
    An outline is given as to how gauge transformations in a frame fiber can be interpreted as defining various types of transport of a moving frame along a path. The cases of general linear, parallel, Lorentz, and other transport groups are examined in Minkowski space-time. A specific set of frame coordinates is introduced. A number of results are obtained including a generalization of Frenet-Serret transport, an extension of Fermi-Walker transport, a relation between frame spaces and certain types of Finsler space, (...)
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  28. Electron-Optical Phase Shift of Magnetic Nanoparticles II. Polyhedral Particles.M. Beleggia, Y. Zhu, S. Tandon & M. De Graef - 2003 - Philosophical Magazine 83 (9):1143-1161.
    A method is presented to compute the electron-optical phase shift for a magnetized polyhedral nanoparticle, with either a uniform magnetization or a closure domain . The method relies on an analytical expression for the shape amplitude, combined with a reciprocal-space description of the magnetic vector potential. The model is used to construct two building blocks from which more complex structures can be generated. Phase computations are also presented for the five Platonic and 13 Archimedean solids. Fresnel and Foucault imaging mode (...)
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  29. An Elementary Notion of Gauge Equivalence.Gordon Belot - 2008 - General Relativity and Gravitation 40.
    An elementary notion of gauge equivalence is introduced that does not require any Lagrangian or Hamiltonian apparatus. It is shown that in the special case of theories, such as general relativity, whose symmetries can be identified with spacetime diffeomorphisms this elementary notion has many of the same features as the usual notion. In particular, it performs well in the presence of asymptotic boundary conditions.
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  30. Symmetry and Gauge Freedom.Gordon Belot - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (2):189-225.
    The classical field theories that underlie the quantum treatments of the electromagnetic, weak, and strong forces share a peculiar feature: specifying the initial state of the field determines the evolution of some degrees of freedom of the theory while leaving the evolution of some others wholly arbitrary. This strongly suggests that some of the variables of the standard state space lack physical content-intuitively, the space of states of such a theory is of higher dimension than the corresponding space of genuine (...)
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  31. The Principle of Sufficient Reason.Gordon Belot - 2001 - Journal of Philosophy 98 (2):55-74.
    The paper is about the physical theories which result when one identifies points in phase space related by symmetries; with applications to problems concerning gauge freedom and the structure of spacetime in classical mechanics.
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  32. Understanding Electromagnetism.Gordon Belot - 1998 - British Journal for the Philosophy of Science 49 (4):531-555.
    It is often said that the Aharonov-Bohm effect shows that the vector potential enjoys more ontological significance than we previously realized. But how can a quantum-mechanical effect teach us something about the interpretation of Maxwell's theory—let alone about the ontological structure of the world—when both theories are false? I present a rational reconstruction of the interpretative repercussions of the Aharonov-Bohm effect, and suggest some morals for our conception of the interpretative enterprise.
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  33. Synopsis and Discussion: Philosophy of Gauge Theory.Gordon Belot, John Earman, Richard Healey, Tim Maudlin, Antigone Nounou & Ward Struyve - manuscript
    This document records the discussion between participants at the workshop "Philosophy of Gauge Theory," Center for Philosophy of Science, University of Pittsburgh, 18-19 April 2009.
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  34. Charge as the Stereographic Projection of Geometric Precession on Pseudospheres.Bernd Binder - unknown
    In this paper geometric phases (Berry and Aharonov-Bohm) are generalized to nonlinear topological phase fields on pseudospheres, where the coordinate vector field is parallel transported along the signal/soliton vector field with Levi--Civita connection. Projective PSL(2,R} symmetry describes the relativistic self-interacting bosonic sine-Gordon field. A Coulomb potential can be induced as the stereographic projection of a harmonic oscillator potential mapping angles or phases to distances and vice versa resulting in mutual coupling with a generalized coupling constant given by a nonlinear iteration. (...)
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  35. Geometric Phase Locked in Fine Structure.Bernd Binder - unknown
    Berry's phase carries physical information coded as topological and geometrical objects that can be directly verified in measurements. In some cases the situation can be reduced to an irrational phase shift, that can be usually obtained by an iterative process. Take the Berry phase as the geometric object and let the iterative process be a non-linear phase-locked feedback mechanism defined by spin-orbit coupling and precession, a coupling of fast and slow rotating vectors. For spin-orbit coupling the realization is easy and (...)
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  36. Iterative Interplay Between Aharonov-Bohm Deficit Angle and Berry Phase.Bernd Binder - unknown
    Geometric phases can be observed by interference as preferred scattering directions in the Aharonov-Bohm (AB) effect or as Berry phase shifts leading to precession on cyclic paths. Without curvature single-valuedness is lost in both case. It is shown how the deficit angle of the AB conic metric and the geometric precession cone vertex angle of the Berry phase can be adjusted to restore single-valuedness. The resulting interplay between both phases confirms the non--linear iterative system providing for generalized fine structure constants (...)
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  37. Topological Phase Fields, Baecklund Transformations, and Fine Structure.Bernd Binder - unknown
    Quantum coupling is defined by comparing the evolution of an input to an output phase, where the phase is evolving on a curved pseudospherical surface. The difference given by interference obeys a single-valuedness condition since the output phase is coupling back to the input phase. We arrive at B\"acklund transforms and corresponding sine-Gordon soliton equation. The idealized resonance or feedback condition corresponds to an oscillator potential that can be mapped by projective geometry to Coulomb coupling, where the effective coupling strength (...)
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  38. On a Hypothetical Explanation of the Aharonov-Bohm Effect.R. Blanco - 1999 - Foundations of Physics 29 (5):693-720.
    I study in detail a proposal made by T. H. Boyer in an attempt to explain classically the Aharonov-Bohm (AB) effect. Boyer claims that in an AB experiment, the perturbation the external incident particle produces on the charge and current distributions within the solenoid will affect back the motion of the external particle. With a qualitative analysis based on energetic considerations, Boyer seemed to arrive at the conclusion that this perturbation could give account of the AB effect. In this paper (...)
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  39. The Case of the Composite Higgs: The Model as a “Rosetta Stone” in Contemporary High-Energy Physics.Arianna Borrelli - 2012 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 43 (3):195-214.
    This paper analyses the practice of model-building “beyond the Standard Model” in contemporary high-energy physics and argues that its epistemic function can be grasped by regarding models as mediating between the phenomenology of the Standard Model and a number of “theoretical cores” of hybrid character, in which mathematical structures are combined with verbal narratives and analogies referring back to empirical results in other fields . Borrowing a metaphor from a physics research paper, model-building is likened to the search for a (...)
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  40. Model Landscapes in the Higgs Sector.Arianna Borrelli & Michael Stöltzner - 2013 - In Vassilios Karakostas & Dennis Dieks (eds.), Epsa11 Perspectives and Foundational Problems in Philosophy of Science. Springer. pp. 241--252.
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  41. The Emergence of Integrability in Gauge Theories.Nazim Bouatta & Jeremy Butterfield - 2013 - In Vassilios Karakostas & Dennis Dieks (eds.), Epsa11 Perspectives and Foundational Problems in Philosophy of Science. Springer. pp. 229--238.
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  42. Comment on Experiments Related to the Aharonov–Bohm Phase Shift.Timothy H. Boyer - 2008 - Foundations of Physics 38 (6):498-505.
    Recent experiments undertaken by Caprez, Barwick, and Batelaan should clarify the connections between classical and quantum theories in connection with the Aharonov–Bohm phase shift. It is pointed out that resistive aspects for the solenoid current carriers play a role in the classical but not the quantum analysis for the phase shift. The observed absence of a classical lag effect for a macroscopic solenoid does not yet rule out the possibility of a lag explanation of the observed phase shift for a (...)
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  43. Classical Electromagnetic Interaction of a Point Charge and a Magnetic Moment: Considerations Related to the Aharonov–Bohm Phase Shift.Timothy H. Boyer - 2002 - Foundations of Physics 32 (1):1-39.
    A fundamentally new understanding of the classical electromagnetic interaction of a point charge and a magnetic dipole moment through order v 2 /c 2 is suggested. This relativistic analysis connects together hidden momentum in magnets, Solem's strange polarization of the classical hydrogen atom, and the Aharonov–Bohm phase shift. First we review the predictions following from the traditional particle-on-a-frictionless-rigid-ring model for a magnetic moment. This model, which is not relativistic to order v 2 /c 2 , does reveal a connection between (...)
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  44. Semiclassical Explanation of the Matteucci–Pozzi and Aharonov–Bohm Phase Shifts.Timothy H. Boyer - 2002 - Foundations of Physics 32 (1):41-49.
    Classical electromagnetic forces can account for the experimentally observed phase shifts seen in an electron interference pattern when a line of electric dipoles or a line of magnetic dipoles (a solenoid) is placed between the electron beams forming the interference pattern.
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  45. Does the Aharonov–Bohm Effect Exist?Timothy H. Boyer - 2000 - Foundations of Physics 30 (6):893-905.
    We draw a distinction between the Aharonov–Bohm phase shift and the Aharonov–Bohm effect. Although the Aharonov–Bohm phase shift occurring when an electron beam passes around a magnetic solenoid is well-verified experimentally, it is not clear whether this phase shift occurs because of classical forces or because of a topological effect occurring in the absence of classical forces as claimed by Aharonov and Bohm. The mathematics of the Schroedinger equation itself does not reveal the physical basis for the effect. However, the (...)
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  46. Classical Electromagnetism and the Aharonov–Bohm Phase Shift.Timothy H. Boyer - 2000 - Foundations of Physics 30 (6):907-932.
    Although there is good experimental evidence for the Aharonov–Bohm phase shift occurring when a solenoid is placed between the beams forming a double-slit electron interference pattern, there has been very little analysis of the relevant classical electromagnetic forces. These forces between a point charge and a solenoid involve subtle relativistic effects of order v 2 /c 2 analogous to those discussed by Coleman and Van Vleck in their treatment of the Shockley–James paradox. In this article we show that a treatment (...)
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  47. Symmetries in Physics: Philosophical Reflections.Katherine A. Brading & Elena Castellani (eds.) - 2003 - Cambridge University Press.
    Highlighting main issues and controversies, this book brings together current philosophical discussions of symmetry in physics to provide an introduction to the subject for physicists and philosophers. The contributors cover all the fundamental symmetries of modern physics, such as CPT and permutation symmetry, as well as discussing symmetry-breaking and general interpretational issues. Classic texts are followed by new review articles and shorter commentaries for each topic. Suitable for courses on the foundations of physics, philosophy of physics and philosophy of science, (...)
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  48. Are Gauge Symmetry Transformations Observable?Katherine Brading & Harvey R. Brown - 2004 - British Journal for the Philosophy of Science 55 (4):645-665.
    In a recent paper in this journal, Kosso ([2000]) discussed the observational status of continuous symmetries of physics. While we are in broad agreement with his approach, we disagree with his analysis. In the discussion of the status of gauge symmetry, a set of examples offered by 't Hooft ([1980]) has influenced several philosophers, including Kosso; in all cases the interpretation of the examples is mistaken. In this paper, we present our preferred approach to the empirical significance of symmetries, re-analysing (...)
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  49. Does the Aharonov–Bohm Effect Occur?Mario Bunge - 2015 - Foundations of Science 20 (2):129-133.
    Aharonov and Bohm showed that, far from being merely a mathematical tool, the vector potential \ can have a microphysical effect even when irrotational, in which case the magnetic field is null. Still, at first sight there is something weird about this situation. Do we have to admit a new force? I argue that there is no paradox in the potentials-formulation of electrodynamics, for it shows that, while “\” represents a vanishing magnetic field, it alters the motion of charged matter (...)
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  50. On the Energy-Time Uncertainty Relation. Part II: Pragmatic Time Versus Energy Indeterminacy. [REVIEW]Paul Busch - 1990 - Foundations of Physics 20 (1):33-43.
    The discussion of a particular kind of interpretation of the energy-time uncertainty relation, the “pragmatic time” version of the ETUR outlined in Part I of this work [measurement duration (pragmatic time) versus uncertainty of energy disturbance or measurement inaccuracy] is reviewed. Then the Aharonov-Bohm counter-example is reformulated within the modern quantum theory of unsharp measurements and thereby confirmed in a rigorous way.
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