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  1. D. V. Ahluwalia (1998). Book Review: Quantum Field Theory, Second Edition, by Lewis H. Ryder. [REVIEW] Foundations of Physics 28 (3):527-529.
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  2. E. K. Akhmedov & A. Y. Smirnov (2011). Neutrino Oscillations: Entanglement, Energy-Momentum Conservation and QFT. [REVIEW] Foundations of Physics 41 (8):1279-1306.
    We consider several subtle aspects of the theory of neutrino oscillations which have been under discussion recently. We show that the S-matrix formalism of quantum field theory can adequately describe neutrino oscillations if correct physics conditions are imposed. This includes space-time localization of the neutrino production and detection processes. Space-time diagrams are introduced, which characterize this localization and illustrate the coherence issues of neutrino oscillations. We discuss two approaches to calculations of the transition amplitudes, which allow different physics interpretations: (i) (...)
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  3. R. Aldrovandi, R. R. Cuzinatto & L. G. Medeiros (2006). Analytic Solutions for the Λ-FRW Model. Foundations of Physics 36 (11):1736-1752.
    The high precision attained by cosmological data in the last few years has increased the interest in exact solutions. Analytic expressions for solutions in the Standard Model are presented here for all combinations of Λ = 0, Λ ≠ 0, κ = 0, and κ ≠ 0, in the presence and absence of radiation and nonrelativistic matter. The most complete case (here called the ΛγCDM Model) has Λ ≠ 0, κ ≠ 0, and supposes the presence of radiation and dust. (...)
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  4. C. C. Allen (1933). Is the Theory of Relativity Sound? Australasian Journal of Philosophy 11 (4):293 – 299.
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  5. Valia Allori, Sheldon Goldstein, Roderich Tumulka & Nino Zanghi (2008). On the Common Structure of Bohmian Mechanics and the Ghirardi-Rimini-Weber Theory. British Journal for the Philosophy of Science 59 (3):353 - 389.
    Bohmian mechanics and the Ghirardi-Rimini-Weber theory provide opposite resolutions of the quantum measurement problem: the former postulates additional variables (the particle positions) besides the wave function, whereas the latter implements spontaneous collapses of the wave function by a nonlinear and stochastic modification of Schrödinger's equation. Still, both theories, when understood appropriately, share the following structure: They are ultimately not about wave functions but about 'matter' moving in space, represented by either particle trajectories, fields on space-time, or a discrete set of (...)
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  6. Jonathan Bain (2013). Effective Field Theories. In Robert Batterman (ed.), The Oxford Handbook of Philosophy of Physics. Oup Usa. 224.
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  7. Jonathan Bain (2000). Against Particle/Field Duality: Asymptotic Particle States and Interpolating Fields in Interacting Qft (Or: Who's Afraid of Haag's Theorem?). [REVIEW] Erkenntnis 53 (3):375-406.
    This essay touches on a number of topics in philosophy of quantum field theory from the point of view of the LSZ asymptotic approach to scattering theory. First, particle/field duality is seen to be a property of free field theory and not of interacting QFT. Second, it is demonstrated how LSZ side-steps the implications of Haag's theorem. Finally, a recent argument due to Redhead (1995), Malament (1996) and Arageorgis (1995) against the concept of localized particle states is addressed. Briefly, the (...)
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  8. Jonathan Bain (1998). Weinberg on QFT: Demonstrative Induction and Underdetermination. Synthese 117 (1):1-30.
    In this essay I examine a recent argument by Steven Weinberg that seeks to establish local quantum field theory as the only type of quantum theory in accord with the relevent evidence and satisfying two basic physical principles. I reconstruct the argument as a demonstrative induction and indicate it's role as a foil to the underdetermination argument in the debate over scientific realism.
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  9. Arno Bohm & Sujeewa Wickramasekara (1997). The Time Reversal Operator for Semigroup Evolutions. Foundations of Physics 27 (7):969-993.
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  10. D. Bohm (1971). Quantum Theory as an Indication of a New Order in Physics. Part A. The Development of New Orders as Shown Through the History of Physics. Foundations of Physics 1 (4):359-381.
    In this paper, we discuss the general significance of order in physics, as a first step toward the development of new notions of order. We begin with a brief historical discussion of the notions of order underlying ancient Greek views, and then go on to show how these changed in key ways with the rise of classical physics. This leads to a broader view of the significance of order, which helps to indicate what is to be meant by a change (...)
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  11. Niels Bohr (1987). The Philosophical Writings of Niels Bohr. Ox Bow Press.
    v. 1. Atomic theory and the description of nature -- v. 2. Essays 1932-1957 on atomic physics and human knowledge -- v. 3. Essays 1958-1962 on atomic physics and human knowledge -- v. 4. Causality and complementarity.
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  12. Niels Bohr (1963/1987). Essays 1958-1962 on Atomic Physics and Human Knowledge. Ox Bow Press.
    Quantum physics and philosophy--causality and complementarity -- The unit of human knowledge -- The connection between the sciences -- Light and life revisited -- The Rutherford memorial lecture 1958 -- The genesis of quantum mechanics -- The Solvay meetings and the development of quantum physics.
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  13. Timothy H. Boyer (2013). Contrasting Classical and Quantum Vacuum States in Non-Inertial Frames. Foundations of Physics 43 (8):923-947.
    Classical electron theory with classical electromagnetic zero-point radiation (stochastic electrodynamics) is the classical theory which most closely approximates quantum electrodynamics. Indeed, in inertial frames, there is a general connection between classical field theories with classical zero-point radiation and quantum field theories. However, this connection does not extend to noninertial frames where the time parameter is not a geodesic coordinate. Quantum field theory applies the canonical quantization procedure (depending on the local time coordinate) to a mirror-walled box, and, in general, each (...)
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  14. Tian Yu Cao (2003). Appendix: Ontological Relativity and Fundamentality – is QFT the Fundamental Theory? Synthese 136 (1):25 - 30.
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  15. Adam Caulton (2013). Discerning “Indistinguishable” Quantum Systems. Philosophy of Science 80 (1):49-72.
    In a series of recent papers, Simon Saunders, Fred Muller and Michael Seevinck have collectively argued, against the folklore, that some non-trivial version of Leibniz's principle of the identity of indiscernibles is upheld in quantum mechanics. They argue that all particles---fermions, paraparticles, anyons, even bosons---may be weakly discerned by some physical relation. Here I show that their arguments make illegitimate appeal to non-symmetric, i.e.~permutation-non-invariant, quantities, and that therefore their conclusions do not go through. However, I show that alternative, symmetric quantities (...)
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  16. John F. Cyranski (1985). Information Theory and the Problem of Molecular Structure. Foundations of Physics 15 (8):833-849.
    Recently it has been shown that the classical “stick and ball” viewpoint of molecules is inconsistent with quantum theory (QT). We suggest an unusual reconciliation: The QT state is not a physical property, but instead reflects our state of knowledge about observable aspects of “reality.” We show how this perspective is nevertheless objective. Applied to molecules, the view permits “structure” to exist only when observable evidence is compatible with this feature. Typically one must replace the a priori model (in particular, (...)
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  17. Bernard D'Espagnat (1990). Towards a Separable “Empirical Reality”? Foundations of Physics 20 (10):1147-1172.
    “To be” or “to be found”? Some contributions relative to this modern variant of Hamlet's question are presented here. They aim at better apprehending the differences between the points of view of the physicists who consider that present-day quantum measurement theories do reach their objective and those who deny they do. It is pointed out that these two groups have different interpretations of the verbs “to be” and “to have” and of the criterion for truth. These differences are made explicit. (...)
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  18. Michael Danos (1997). Ward-Takahashi Identities and Noether's Theorem in Quantum Field Theory. Foundations of Physics 27 (7):995-1009.
    The gap in the mathematical derivation of Noether’s theorem, and also of the Ward-Takahashi identities, caused by performing variation before quantization is closed by introduction of variational calculus for operator fields. It is demonstrated that both Noether’s theorem and the Ward-Takahashi identities retain full validity in quantum field theory.
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  19. B. DeFacio (1975). Causal Independence in Algebraic Quantum Field Theory. Foundations of Physics 5 (2):229-237.
    Ekstein has shown that causal independence neither implies nor is implied by commutativity in an infinite-dimensional, reducible construction. DeFacio and Taylor have presented a finite-dimensional irreducible example of Ekstein's proposition. Avishai and Ekstein have shown that the original question regarding locality for algebraic quantum field theories remainsopen. We concur with that claim and offer additional arguments. A new denumerably infinite-dimensional, irreducible example is presented here which shows that a sort of “orthogonality” among operators is involved. Some observations on localC*-andW*-algebras are (...)
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  20. David P. DiVincenzo & Barbara M. Terhal (2005). Fermionic Linear Optics Revisited. Foundations of Physics 35 (12):1967-1984.
    We provide an alternative view of the efficient classical simulatibility of fermionic linear optics in terms of Slater determinants. We investigate the generic effects of two-mode measurements on the Slater number of fermionic states. We argue that most such measurements are not capable (in conjunction with fermion linear optics) of an efficient exact implementation of universal quantum computation. Our arguments do not apply to the two-mode parity measurement, for which exact quantum computation becomes possible.
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  21. Sergio Doplicher (2010). Spin and Statistics and First Principles. Foundations of Physics 40 (7):719-732.
    It was shown in the early seventies that, in Local Quantum Theory (that is the most general formulation of Quantum Field Theory, if we leave out only the unknown scenario of Quantum Gravity) the notion of Statistics can be grounded solely on the local observable quantities (without assuming neither the commutation relations nor even the existence of unobservable charged field operators); one finds that only the well known (para)statistics of Bose/Fermi type are allowed by the key principle of local commutativity (...)
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  22. Maxim Dvornikov (2012). Canonical Quantization of a Massive Weyl Field. Foundations of Physics 42 (11):1469-1479.
    We construct a consistent theory of a quantum massive Weyl field. We start with the formulation of the classical field theory approach for the description of massive Weyl fields. It is demonstrated that the standard Lagrange formalism cannot be applied for the studies of massive first-quantized Weyl spinors. Nevertheless we show that the classical field theory description of massive Weyl fields can be implemented in frames of the Hamilton formalism or using the extended Lagrange formalism. Then we carry out a (...)
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  23. D. M. Eagles (1978). An Electrostatic Interpretation of Some Empirical Parameters of Light Quarks. Foundations of Physics 8 (5-6):417-421.
    Values of some arbitrary parameters appearing in a geometrical model for elementary particles developed by MacGregor are compared with quantities associated with classical properties of blocks of charges±e interacting via Coulomb forces and hard-sphere repulsion only. If it is assumed that masses and radii of individual charged particles are related bymc 2=(2/3)(e 2/r) and thatmc 2=6.87 MeV, then the self-energiesM andM ± of 24-particle neutral blocks and 25-particle charged blocks composed of layers of three octagons and of a square sandwiched (...)
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  24. Bruno Eckhardt & Uzy Smilansky (2001). Stroboscopic Quantization of Autonomous Systems. Foundations of Physics 31 (3):543-556.
    We introduce a semiclassical quantization method which is based on a stroboscopic description of the classical and the quantum flows. We show that this approach emerges naturally when one is interested in extracting the energy spectrum within a prescribed and finite energy interval. The resulting semiclassical expression involves a finite number of periodic orbits whose energies are in the considered interval. Higher order corrections which reflect the sharp restriction of the spectrum to an interval are explicitly given. The relation to (...)
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  25. James D. Edmonds Jr (1978). An Elegant but “Simple” Form for the Dirac Hydrogen Atom. Foundations of Physics 8 (1-2):123-129.
    The operator structures for the constants of the motion of the relativistic hydrogen atom are examined. ThoughJ 3 andJ · J are constants of the motion,J is not. Its replacement, $\tilde {\rm K}$ , is shown to emerge rather naturally in transforming the equation to spherical coordinates. The separation of variables is presented in hypercomplex number form. This leads to some interesting suggestions regarding the matter/antimatter operator for the Dirac equation.
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  26. James D. Edmonds Jr (1978). Parton Confinement: A Different Perspective. [REVIEW] Foundations of Physics 8 (9-10):793-795.
    Partons (quarks) are unobservable, it is suggested, because they have no well-defined rest-massconcept.
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  27. James D. Edmonds Jr (1974). Complex Energies in Relativistic Quantum Theory. Foundations of Physics 4 (4):473-479.
    A new four-component spin-1/2 wave equation for ordinary mass is discussed. It is shown that this equation has a conserved current not easily identified with a transition probability, only pure imaginary energy states, and is covariant. A tachyon-like Klein-Gordon equation is satisfied by this equation, but rest states are explicitly constructed.
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  28. H. J. Efinger (1989). Nonlinear Schrödinger Mechanics and the Law of Gravity. Foundations of Physics 19 (4):407-418.
    This paper is a study of the consequences that follow from modeling a nonlinear and nonrelativistic quantum theory for gravitating particles. At present there exists no relativistic generalizations that do not sacrifice certain assumptions which are standard in covariant field theories.
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  29. C. E. Engelke & C. W. Engelke (1986). The Effect of Localization on Interference. I. Calculated Intensities for a Feasible Optical Experiment. Foundations of Physics 16 (9):905-916.
    A simple geometry utilizing a laser-excited atomic beam as light source, and a nearby oscillating mirror, would permit the observation of a two-channel optical interference effect involving photons which can be localized predominantly in one channel by coincidence observations of the recoiling source atom. A sacrifice of the optimum conditions for photon interference is necessary even when photon localization in one channel is accomplished by an observation of the recoil atom. This necessity arises because the width of the slit defining (...)
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  30. Berthold-Georg Englert (1998). Classical Analogs of Unitarily Equivalent Hamilton Operators. Foundations of Physics 28 (3):375-384.
    A unitary transformation replaces the given description of a quantum system by an equivalent one. It is observed, however, that not all members of a set of unitarily equivalent Hamilton operators are equally well suited for identifying the corresponding classical systems. A criterion is proposed for recognizing the privileged representatives of the set. A few explicit examples are reported that show the criterion at work.
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  31. Charles P. Enz (1994). Hamiltonian Description and Quantization of Dissipative Systems. Foundations of Physics 24 (9):1281-1292.
    Dissipative systems are described by a Hamiltonian, combined with a “dynamical matrix” which generalizes the simplectic form of the equations of motion. Criteria for dissipation are given and the examples of a particle with friction and of the Lotka-Volterra model are presented. Quantization is first introduced by translating generalized Poisson brackets into commutators and anticommutators. Then a generalized Schrödinger equation expressed by a dynamical matrix is constructed and discussed.
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  32. A. B. Evans (1998). On Expected Values and “Negative Probability” in 4-Space QED. Foundations of Physics 28 (2):291-306.
    A proposed 4-space Dirac theory requires modified definitions of expected value and Hermitian operator, because the charge density is not positive definite. However, this does not imply negative probability.
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  33. A. B. Evans (1991). Klein's Paradox in a Four-Space Formulation of Dirac's Equation. Foundations of Physics 21 (6):633-647.
    A 4-space formulation of Dirac's equation gives results formally identical to those of the usual Klein paradox. However, some extra physical detail can be inferred, and this suggests that the most extreme case involves pair production within the potential barrier.
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  34. John R. Fanchi & Weldon J. Wilson (1983). Relativistic Many-Body Systems: Evolution-Parameter Formalism. [REVIEW] Foundations of Physics 13 (6):571-605.
    The complexity of the field theoretic methods used for analyzing relativistic bound state problems has forced researchers to look for simpler computational methods. Simpler methods such as the relativistic harmonic oscillator method employed in the description of extended hadrons have been investigated. They are considered phenomenological, however, because they lack a theoretical basis. A probabilistic basis for these methods is presented here in terms of the four-space formulation of relativistic quantum mechanics (FSF). The single-particle FSF is reviewed and its physical (...)
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  35. Richard P. Feynman (1986). Quantum Mechanical Computers. Foundations of Physics 16 (6):507-531.
    The physical limitations, due to quantum mechanics, on the functioning of computers are analyzed.
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  36. Thomas Filk & Hartmann Römer (2011). Generalized Quantum Theory: Overview and Latest Developments. [REVIEW] Axiomathes 21 (2):211-220.
    The main formal structures of generalized quantum theory are summarized. Recent progress has sharpened some of the concepts, in particular the notion of an observable, the action of an observable on states (putting more emphasis on the role of proposition observables), and the concept of generalized entanglement. Furthermore, the active role of the observer in the structure of observables and the partitioning of systems is emphasized.
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  37. Felix Finster & Christian Hainzl (2010). Quantum Oscillations Can Prevent the Big Bang Singularity in an Einstein-Dirac Cosmology. Foundations of Physics 40 (1):116-124.
    We consider a spatially homogeneous and isotropic system of Dirac particles coupled to classical gravity. The dust and radiation dominated closed Friedmann-Robertson-Walker space-times are recovered as limiting cases. We find a mechanism where quantum oscillations of the Dirac wave functions can prevent the formation of the big bang or big crunch singularity. Thus before the big crunch, the collapse of the universe is stopped by quantum effects and reversed to an expansion, so that the universe opens up entering a new (...)
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  38. Robert G. Flower, Conference on the Foundations of Quantum Mechanics.
    Enormous and significant progress has been made in the important areas of entanglement, quantum computing and harnessing energy from the vacuum, which includes a sound theoretical basis, using the Einstein-Sachs theories to develop an anti-symmetric general relativity (AGR) approach to a higher topology O(3) electrodynamics. These developments also lead to the application of the Aharonov-Bohm effect and the Yang-Mills theory to the higher topology O(3) electrodynamics, as well as a deeper understanding and appreciation of these effects and their impact on (...)
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  39. H. M. Fried (2000). New Thoughts About an Old Eikonal Problem. Foundations of Physics 30 (4):529-532.
    Two different methods of approach, currently under investigation, are suggested for calculating the eikonal function corresponding to quark-quark scattering at very high energies and small momentum transfers. These methods illustrate the realistic, dynamical complexities inherent in QCD scattering problems.
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  40. Todd Gilmore Jr & James Park (1979). Superselection Rules in Quantum Theory: Part I. A New Proposal for State Restriction Violation. [REVIEW] Foundations of Physics 9 (7-8):537-556.
    It is argued that preparation of a quantum state characterized by density operator ρ not commuting with a superselection operatorQ does not by itself constitute an instance of superselection rule violation. It would, however, be an instance of state restriction violation. It is held that superselection rule violation is only possible with simultaneous observable and state restriction violations. It is shown that it is a priori conceivable to subdivide an ensemble whose ρ satisfies[ρ, Q] = 0 into subensembles whose density (...)
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  41. Todd Gilmore Jr & James L. Park (1979). Superselection Rules in Quantum Theory: Part II. Subensemble Selection. [REVIEW] Foundations of Physics 9 (9-10):739-749.
    A dynamical analysis of standard procedures for subensemble selection is used to show that the state restriction violation proposal in Part I of the paper cannot be realized by employing familiar correlation schemes. However, it is shown that measurement of an observable not commuting with the superselection operator is possible, a violation of the observable restrictions. This is interpreted as supporting the position that each of these restrictions is sufficient but not necessary for the superselection rule. The results do constitute (...)
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  42. StanisŁaw Goldstein, Andrzej Łuczak & Ivan F. Wilde (1999). Independence in Operator Algebras. Foundations of Physics 29 (1):79-89.
    Various notions of independence of observables have been proposed within the algebraic framework of quantum field theory. We discuss relationships between these and the recently introduced notion of logical independence in a general operator-algebraic context. We show that C*-independence implies an analogue of classical independence.
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  43. O. W. Greenberg (2006). Why is Mathcal{CPT} Fundamental? Foundations of Physics 36 (10):1535-1553.
    Lüders and Pauli proved the $\mathcal{CPT}$ theorem based on Lagrangian quantum field theory almost half a century ago. Jost gave a more general proof based on “axiomatic” field theory nearly as long ago. The axiomatic point of view has two advantages over the Lagrangian one. First, the axiomatic point of view makes clear why $\mathcal{CPT}$ is fundamental—because it is intimately related to Lorentz invariance. Secondly, the axiomatic proof gives a simple way to calculate the $\mathcal{CPT}$ transform of any relativistic field (...)
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  44. O. W. Greenberg (2004). Book Review: Quantum Field Theory in a Nutshell. By A. Zee, Princeton University Press, Princeton, NJ, 2003, ISBN: 0-691-01019-6, Xv+518 Pp. $49.50 (Hardcover). [REVIEW] Foundations of Physics 34 (1):187-188.
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  45. Alexei Grinbaum (2012). Which Fine-Tuning Arguments Are Fine? Foundations of Physics 42 (5):615-631.
    Fine-tuning arguments are a frequent find in the literature on quantum field theory. They are based on naturalness—an aesthetic criterion that was given a precise definition in the debates on the Higgs mechanism. We follow the history of such definitions and of their application at the scale of electroweak symmetry breaking. They give rise to a special interpretation of probability, which we call Gedankenfrequency. Finally, we show that the argument from naturalness has been extended to comparing different models of the (...)
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  46. Stanley Gudder (1994). Toward a Rigorous Quantum Field Theory. Foundations of Physics 24 (9):1205-1225.
    This paper outlines a framework that may provide a mathematically rigorous quantum field theory. The framework relies upon the methods of nonstandard analysis. A theory of nonstandard inner product spaces and operators on these spaces is first developed. This theory is then applied to construct nonstandard Fock spaces which extend the standard Fock spaces. Then a rigorous framework for the field operators of quantum field theory is presented. The results are illustrated for the case of Klein-Gordon fields.
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  47. Dick J. Hoekzema (1992). Quantum Event Theory: A Tetrode-Fokker Version of Quantum Field Theory. [REVIEW] Foundations of Physics 22 (4):487-506.
    This paper explores the possibility of an event interpretation of quantum field theory.
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  48. L. P. Horwitz & N. Shnerb (1998). Second Quantization of the Stueckelberg Relativistic Quantum Theory and Associated Gauge Fields. Foundations of Physics 28 (10):1509-1519.
    The gauge compensation fields induced by the differential operators of the Stueckelberg-Schrödinger equation are discussed, as well as the relation between these fields and the standard Maxwell fields; An action is constructed and the second quantization of the fields carried out using a constraint procedure. The properties of the second quantized matter fields are discussed.
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  49. Yuichiro Kitajima (2013). EPR States and Bell Correlated States in Algebraic Quantum Field Theory. Foundations of Physics 43 (10):1182-1192.
    A mathematical rigorous definition of EPR states has been introduced by Arens and Varadarajan for finite dimensional systems, and extended by Werner to general systems. In the present paper we follow a definition of EPR states due to Werner. Then we show that an EPR state for incommensurable pairs is Bell correlated, and that the set of EPR states for incommensurable pairs is norm dense between two strictly space-like separated regions in algebraic quantum field theory.
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  50. Douglas Kutach (2010). A Connection Between Minkowski and Galilean Space-Times in Quantum Mechanics. International Studies in the Philosophy of Science 24 (1):15 – 29.
    Relativistic quantum theories are equipped with a background Minkowski spacetime and non-relativistic quantum theories with a Galilean space-time. Traditional investigations have distinguished their distinct space-time structures and have examined ways in which relativistic theories become sufficiently like Galilean theories in a low velocity approximation or limit. A different way to look at their relationship is to see that both kinds of theories are special cases of a certain five-dimensional generalization involving no limiting procedures or approximations. When one compares them, striking (...)
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