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Special Relativity

Edited by Virendra Tripathi (University of Nebraska, Lincoln, University of Nebraska, Omaha)
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  1. Charles Nissim -sabat (1987). A Retraction of ‘a Gedanken Experiment to Measure the One-Way Velocity of Light’. British Journal for the Philosophy of Science 38 (1):75-75.
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  2. Diederik Aerts (1996). Relativity Theory: What is Reality? [REVIEW] Foundations of Physics 26 (12):1627-1644.
    In classical Newtonian physics there was a clear understanding of “what reality is.≓ Indeed in this classical view, reality at a certain time is the collection of all what is actual at this time, and this is contained in “the present.≓ Often it is stated that three-dimensional space and one-dimensional time hare been substituted by four-dimensional space-time in relativity theory, and as a consequence the classical concept of reality, as that which is “present,≓ cannot be retained. Is reality then the (...)
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  3. S. D. Agashe (2007). Addendum to “Einstein's “Zur Electrodynamik...” (1905) Revisited, with Some Consequences” (1) by S. D. Agashe. Foundations of Physics 37 (2):306-309.
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  4. S. D. Agashe (2006). Einstein's “Zur Elektrodynamik...” (1905) Revisited, With Some Consequences. Foundations of Physics 36 (7):955-1011.
    Einstein, in his “Zur Elektrodynamik bewegter Körper”, gave a physical (operational) meaning to “time” of a remote event in describing “motion” by introducing the concept of “synchronous stationary clocks located at different places”. But with regard to “place” in describing motion, he assumed without analysis the concept of a system of co-ordinates.In the present paper, we propose a way of giving physical (operational) meaning to the concepts of “place” and “co-ordinate system”, and show how the observer can define both the (...)
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  5. J. Aharoni (1965). The Special Theory of Relativity. Oxford, Clarendon Press.
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  6. Horst Aichmann & Günter Nimtz (2014). On the Traversal Time of Barriers. Foundations of Physics 44 (6):678-688.
    Fifty years ago Hartman studied the barrier transmission time of wave packets (J Appl Phys 33:3427–3433, 1962). He was inspired by the tunneling experiments across thin insulating layers at that time. For opaque barriers he calculated faster than light propagation and a transmission time independent of barrier length, which is called the Hartman effect. A faster than light (FTL or superluminal) wave packet velocity was deduced in analog tunneling experiments with microwaves and with infrared light thirty years later. Recently, the (...)
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  7. Marcus Alfred, Petero Kwizera, James V. Lindesay & H. Pierre Noyes (2004). A Nonperturbative, Finite Particle Number Approach to Relativistic Scattering Theory. Foundations of Physics 34 (4):581-616.
    We present integral equations for the scattering amplitudes of three scalar particles, using the Faddeev channel decomposition, which can be readily extended to any finite number of particles of any helicity. The solution of these equations, which have been demonstrated to be calculable, provide a nonperturbative way of obtaining relativistic scattering amplitudes for any finite number of particles that are Lorentz invariant, unitary, cluster decomposable and reduce unambiguously in the nonrelativistic limit to the nonrelativistic Faddeev equations. The aim of this (...)
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  8. Marcus Alfred & James Lindesay (2003). A Test of the Calculability of a Three-Body Relativistic, Cluster Decomposable, Unitary, Covariant Scattering Theory. Foundations of Physics 33 (8):1253-1264.
    In this work a calculation of the cluster decomposable formalism for relativistic scattering as developed by Lindesay, Markevich, Noyes, and Pastrana (LMNP) is made for an ultra-light quantum model. After highlighting areas of the theory vital for calculation, a description is made of the process to go from the general theory to an eigen-integral equation for bound state problems, and calculability is demonstrated. An ultra-light quantum exchange model is then developed to examine calculability.
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  9. A. D. Alhaidari (2010). Dirac Equation with Coupling to 1/R Singular Vector Potentials for All Angular Momenta. Foundations of Physics 40 (8):1088-1095.
    We consider the Dirac equation in 3+1 dimensions with spherical symmetry and coupling to 1/r singular vector potential. An approximate analytic solution for all angular momenta is obtained. The approximation is made for the 1/r orbital term in the Dirac equation itself not for the traditional and more singular 1/r 2 term in the resulting second order differential equation. Consequently, the validity of the solution is for a wider energy spectrum. As examples, we consider the Hulthén and Eckart potentials.
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  10. R. Anderson & G. E. Stedman (1977). Dual Observers in Operational Relativity. Foundations of Physics 7 (1-2):29-33.
    We give a tensor formulation of synchronization transformations within special relativity in order to bridge the gap between some philosophical discussions (e.g., by Grünbaum and Winnie) and the analyses given by physicists (e.g., Møller). As an application, we discuss a physical interpretation of the duality between covariant and contravariant indices in the tensor formulation.
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  11. Juan Sebastian Ardenghi, Mario Castagnino & Olimpia Lombardi (2009). Quantum Mechanics: Modal Interpretation and Galilean Transformations. [REVIEW] Foundations of Physics 39 (9):1023-1045.
    The aim of this paper is to consider in what sense the modal-Hamiltonian interpretation of quantum mechanics satisfies the physical constraints imposed by the Galilean group. In particular, we show that the only apparent conflict, which follows from boost-transformations, can be overcome when the definition of quantum systems and subsystems is taken into account. On this basis, we apply the interpretation to different well-known models, in order to obtain concrete examples of the previous conceptual conclusions. Finally, we consider the role (...)
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  12. Frank Arntzenius (1990). Causal Paradoxes in Special Relativity. British Journal for the Philosophy of Science 41 (2):223-243.
    It has been argued that the existence of faster than light particles in the context of special relativity would imply the possibility to influence the past, and that this would lead to paradox. In this paper I argue that such conclusions cannot safely be drawn without consideration of the equations of motion of such particles. I show that such equations must be non-local, that they can be deterministic, and that they can avoid the suggested paradoxes. I also discuss conservation of (...)
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  13. J. C. Aron (1981). A Model for the Schrödinger Zitterbewegung and the Plane Monochromatic Wave. Foundations of Physics 11 (11-12):863-872.
    The stochastic approach worked out in earlier papers is applied to the Dirac fluid. It gives a model of the Schrödinger zitterbewegung, from which, by the spinor-vector correspondence, a model of the plane monochromatic wave in the rest frame is derived. The relation of the scheme with quantization is found to have the same character as in the previous papers. The link of spin with relativity is explained.
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  14. David Atkinson, The Light of Einstein.
    The Michelson-Morley experiment suggests the hypothesis that the two-way speed of light is constant, and this is consistent with a more general invariance than that of Lorentz. On adding the requirement that physical laws have the same form in all inertial frames, as Einstein did, the transformation specializes to that of Lorentz.
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  15. Y. Avishai & H. Ekstein (1972). Causal Independence. Foundations of Physics 2 (4):257-270.
    Causal independence of the simultaneous positions and momenta of two distinguishable particles in nonrelativistic physics and causal independence of events in two relatively spacelike regions of space-time in relativity are analyzed and discussed. This review paper formulates causal independence in a general and operational way and summarizes the inferences drawn from it in non-relativistic quantum mechanics, classical relativistic point mechanics, quantum field theory, and classical field theory. Special attention is given to the open question of the relationship between local independence (...)
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  16. Yuri Balashov (2005). Special Relativity, Coexistence and Temporal Parts: A Reply to Gilmore. Philosophical Studies 124 (1):1 - 40.
    In two earlier works (Balashov, 2000a: Philosophical Studies 99, 129–166; 2000b: Philosophy of Science 67 (Suppl), S549–S562), I have argued that considerations based on special relativity and the notion of coexistence favor the perdurance view of persistence over its endurance rival. Cody Gilmore (2002: Philosophical Studies 109, 241–263) has subjected my argument to an insightful three fold critique. In the first part of this paper I respond briefly to Gilmore’s first two objections. I then grant his observation that anyone who (...)
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  17. A. Baltas & K. Gavroglu (1980). A Modification of Popper's Tetradic Schema and the Special Relativity Theory. Journal for General Philosophy of Science 11 (2):213-237.
    Summary The present paper constitutes an elaboration of a previous work by one of us which, among other things, proposed some modifications of Popper's tetradic schema. Here, in the first part, we consider critically and develop further these modifications and elaborate on methods which prove more satisfactory for the mapping of the problem solving processes in Physics. We also find the opportunity to make some comments on Physics and on its relation to Mathematics. In the second part, there is an (...)
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  18. Rabin Banerjee, Biswajit Chakraborty, Subir Ghosh, Pradip Mukherjee & Saurav Samanta (2009). Topics in Noncommutative Geometry Inspired Physics. 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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  19. T. Barakat & H. A. Alhendi (2013). Generalized Dirac Equation with Induced Energy-Dependent Potential Via Simple Similarity Transformation and Asymptotic Iteration Methods. Foundations of Physics 43 (10):1171-1181.
    This study shows how precise simple analytical solutions for the generalized Dirac equation with repulsive vector and attractive energy-dependent Lorentz scalar potentials, position-dependent mass potential, and a tensor interaction term can be obtained within the framework of both similarity transformation and the asymptotic iteration methods. These methods yield a significant improvement over existing approaches and provide more plausible and applicable ways in explaining the pseudospin symmetry’s breaking mechanism in nuclei.
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  20. Carlos Barceló & Gil Jannes (2008). A Real Lorentz-FitzGerald Contraction. Foundations of Physics 38 (2):191-199.
    Many condensed matter systems are such that their collective excitations at low energies can be described by fields satisfying equations of motion formally indistinguishable from those of relativistic field theory. The finite speed of propagation of the disturbances in the effective fields (in the simplest models, the speed of sound) plays here the role of the speed of light in fundamental physics. However, these apparently relativistic fields are immersed in an external Newtonian world (the condensed matter system itself and the (...)
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  21. Lincoln Kinnear Barnett (1957/2005). The Universe and Dr. Einstein. Dover Publications.
    In the century since the publication of the special theory of relativity, there remains a tendency to venerate Einstein's genius without actually understanding his achievement. This book offers the opportunity to truly comprehend the workings of one of humanity's greatest minds. Acclaimed by Einstein himself, it is among the clearest, most readable expositions of relativity theory. It explains the problems Einstein faced, the experiments that led to his theories, and what his findings reveal about the forces that govern the universe. (...)
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  22. A. O. Barut (1988). Combining Relativity and Quantum Mechanics: Schrödinger's Interpretation of Ψ. [REVIEW] Foundations of Physics 18 (1):95-105.
    The incongruence between quantum theory and relativity theory is traced to the probability interpretation of the former. The classical continium interpretation of ψ removes the difficulty. How quantum properties of matter and light, and in particular the radiative problems, like spontaneous emission and Lamb shift, may be accounted in a first quantized Maxwell-Dirac system is discussed.
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  23. A. O. Barut & Thomas Gornitz (1985). On the Gyromagnetic Ratio in the Kaluza-Klein Theories and the Schuster-Blackett Law. Foundations of Physics 15 (4):433-437.
    Pauli's five-dimensional Dirac equation in projective space, which results in an anomalous magnetic moment term in four dimensions, is related to the Schuster-Blackett law of the magnetic field of rotating bodies and to the recent results on the gyromagnetic ratio in Kaluza-Klein theories.
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  24. L. Basano (1980). Farewell to Tachyons? Foundations of Physics 10 (11-12):937-948.
    It is shown that in addition to the usual difficulties related to causality, the theory of superluminal particles also exhibits paradoxical symmetry violations. In the second part of the paper a conventional paradox is revisited: causality violations at the macroscopic level follow from simple statistical arguments.
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  25. R. G. Beil (2003). Finsler Geometry and Relativistic Field Theory. Foundations of Physics 33 (7):1107-1127.
    Finsler geometry on the tangent bundle appears to be applicable to relativistic field theory, particularly, unified field theories. The physical motivation for Finsler structure is conveniently developed by the use of “gauge” transformations on the tangent space. In this context a remarkable correspondence of metrics, connections, and curvatures to, respectively, gauge potentials, fields, and energy-momentum emerges. Specific relativistic electromagnetic metrics such as Randers, Beil, and Weyl can be compared.
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  26. John S. Bell (1976). How to Teach Special Relativity. Progress in Scientific Culture 1.
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  27. Hanoch Ben-Yami (2006). Causality and Temporal Order in Special Relativity. British Journal for the Philosophy of Science 57 (3):459-479.
    David Malament tried to show that the causal theory of time leads to a unique determination of simultaneity relative to an inertial observer, namely standard simultaneity. I show that the causal relation Malament uses in his proofs, causal connectibility, should be replaced by a different causal relation, the one used by Reichenbach in his formulation of the theory. I also explain why Malament's reliance on the assumption that the observer has an eternal inertial history modifies our conception of simultaneity, and (...)
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  28. Joseph Berkovitz (2002). On Causal Loops in the Quantum Realm. In. In T. Placek & J. Butterfield (eds.), Non-Locality and Modality. Kluwer. 235--257.
  29. William Berkson (1974). Fields of Force. New York,Wiley.
    This book tells how a series of very remarkable men tried to get a better understanding of the world. These men are Michael Faraday and those he influenced: ...
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  30. N. T. Bishop (1984). Is Superluminal Travel a Theoretical Possibility? Foundations of Physics 14 (4):333-340.
    The theory of relativity forbids the superluminal travel of ordinary matter. However, it is possible to amend the theory of relativity and to develop a theory permitting superluminal travel. The acceptability of the features needed for superluminal travel is discussed.
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  31. Tarun Biswas (1994). Special Relativistic Newtonian Gravity. Foundations of Physics 24 (4):513-524.
    Newtonian gravity is modified minimally to obtain a Lorentz covariant theory of gravity in a background flat space. Gravity is assumed to appear as a potential. Constraint Hamiltonian dynamics is used to determine particle trajectories in a manifestly covariant fashion. The resulting theory is significantly different from the general theory of relativity. However, all known experimental results (precession of planetary orbits, bending of the path of light near the sun, and gravitational spectral shift) are still explained by this theory.
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  32. Frank Blume (2006). A Nontemporal Probabilistic Approach to Special and General Relativity. Foundations of Physics 36 (9):1404-1440.
    We introduce a discrete probabilistic model of motion in special and general relativity that is shown to be compatible with the standard model in the statistical limit.
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  33. David Bohm (1965). The Special Theory of Relativity. New York, W.A. Benjamin.
    With clarity and grace, he also reveals the limited truth of some of the "common sense" assumptions which make it difficult for us to appreciate its full ...
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  34. Alessandro Braccesi (2008). Al di Là Dell'intuizione: Per Una Storia Della Fisica Del Ventesimo Secolo: Relatività E Quantistica. Bononia University Press.
  35. P. W. Bridgman (1967). A Sophisticate's Primer of Relativity. London, Routledge & K. Paul.
    Geared toward readers already acquainted with special relativity, this book transcends the view of theory as a working tool to answer natural questions: What is ...
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  36. Harvey R. Brown, Michelson, Fitzgerald and Lorentz: The Origins of Relativity Revisited.
    It is argued that an unheralded moment marking the beginnings of relativity theory occurred in 1889, when G. F. FitzGerald, no doubt with the puzzling 1887 Michelson-Morley experiment fresh in mind, wrote to Heaviside about the possible effects of motion on inter-molecular forces in bodies. Emphasis is placed on the difference between FitzGerald's and Lorentz's independent justifications of the shape distortion effect involved. Finally, the importance of the their `constructive' approach to kinematics---stripped of any commitment to the physicality of the (...)
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  37. Harvey R. Brown (1997). On the Role of Special Relativity in General Relativity. International Studies in the Philosophy of Science 11 (1):67 – 81.
    The existence of a definite tangent space structure (metric with Lorentzian signature) in the general theory of relativity is the consequence of a fundamental assumption concerning the local validity of special relativity. There is then at the heart of Einstein's theory of gravity an absolute element which depends essentially on a common feature of all the non-gravitational interactions in the world, and which has nothing to do with space-time curvature. Tentative implications of this point for the significance of the vacuum (...)
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  38. Harvey R. Brown (1993). Correspondence, Invariance and Heuristics in the Emergence of Special Relativity. In S. French & H. Kamminga (eds.), Correspondence, Invariance and Heuristics. Kluwer. 227--60.
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  39. Harvey R. Brown & Christopher G. Timpson, Why Special Relativity Should Not Be a Template for a Fundamental Reformulation of Quantum Mechanics.
    In a comparison of the principles of special relativity and of quantum mechanics, the former theory is marked by its relative economy and apparent explanatory simplicity. A number of theorists have thus been led to search for a small number of postulates - essentially information theoretic in nature - that would play the role in quantum mechanics that the relativity principle and the light postulate jointly play in Einstein's 1905 special relativity theory. The purpose of the present paper is to (...)
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  40. T. Budden (1997). A Star in the Minkowskian Sky: Anisotropic Special Relativity. Studies in History and Philosophy of Science Part B 28 (3):325-361.
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  41. Wesley Van Camp (2011). On Kinematic Versus Dynamic Approaches to Special Relativity. Philosophy of Science 78 (5):1097-1107.
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  42. W. H. Cannon & O. G. Jensen (1975). An Empirical Test of the Interaction Interpretation of the Theory of Relativity. Foundations of Physics 5 (2):217-227.
    This paper presents an empirical test of Schlegel's “interaction interpretation” of the theory of special relativity. Analysis of the UTC time scales maintained at various observatory sites over the world indicates that neither Schlegel's “interaction interpretation” of the theory of relativity nor the conventional “space-time coordinate transformation interpretation” of relativity can significantly improve agreement between the UTC time scales. Instead evidence for the effects of accelerations on clock rates is suggested.
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  43. Marco Mamone Capria (2011). Spatial Directions, Anisotropy and Special Relativity. Foundations of Physics 41 (8):1375-1397.
    The concept of an objective spatial direction in special relativity is investigated and theories assuming light-speed isotropy while accepting the existence of a privileged spatial direction are classified, including so-called very special relativity. A natural generalization of the proper time principle is introduced which makes it possible to devise non-optical experimental tests of spatial isotropy. Several common misunderstandings in the relativistic literature concerning the role of spatial isotropy are clarified.
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  44. Marco Mamone Capria (2001). On the Conventionality of Simultaneity in Special Relativity. Foundations of Physics 31 (5):775-818.
    In this paper the classical topic of “conventionality” in defining the simultaneity (or synchrony) of distant events is tackled again, and the validity of Reichenbach's view is carefully circumscribed. In particular, the role of “one-way” assumptions in the foundations of special relativity is emphasized. The restriction by the round-trip isotropy condition on the admissible distance functions in inertial frames is studied, and its relevance to several issues (absolute simultaneity, the interpretation of Michelson–Morley type experiments, the self-measured speed of a clock) (...)
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  45. M. Carmeli (1996). Cosmological Special Relativity. Foundations of Physics 26 (3):413-416.
    Recently we presented a new special relativity theory for cosmology in which it was assumed that gravitation can be neglected and thus the bubble constant can be taken as a constant. The theory was presented in a six-dimensional hvperspace. three for the ordinary space and three for the velocities. In this paper we reduce our hyperspace to four dimensions by assuming that the three-dimensional space expands only radially, thus one is left with the three dimensions of ordinary space and one (...)
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  46. M. Carmeli (1995). Cosmological Relativity: A Special Relativity for Cosmology. [REVIEW] Foundations of Physics 25 (7):1029-1040.
    Under the assumption that Hubble's constant H0 is constant in cosmic time, there is an analogy between the equation of propagation of light and that of expansion of the universe. Using this analogy, and assuming that the laws of physics are the same at all cosmic times, a new special relativity, a cosmological relativity, is developed. As a result, a transformation is obtained that relates physical quantities at different cosmic times. In a one-dimensional motion, the new transformation is given by (...)
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  47. M. Carmeli (1985). R×S 3 Special Theory of Relativity. Foundations of Physics 15 (12):1263-1273.
    A theory of relativity, along with its appropriate group of Lorentz-type transformations, is presented. The theory is developed on a metric withR×S 3 topology as compared to ordinary relativity defined on the familiar Minkowskian metric. The proposed theory is neither the ordinary special theory of relativity (since it deals with noninertial coordinate systems) nor the general theory of relativity (since it is not a dynamical theory of gravitation). The theory predicts, among other things, that finite-mass particles in nature have maximum (...)
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  48. Laurence H. A. Carr (1960). Relativity for Engineers and Science Teachers. London, Macdonald.
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  49. Tsao Chang (1983). Problems of Synchronization in Special Relativity: Comments on a Paper by G. Cavalleri and G. Spinelli. Foundations of Physics 13 (12):1237-1240.
    G. Cavalleri and G. Spinelli believe that a unique ether frame exists, and they attempt to find this ether frame by using a new method. Certain problems of synchronization raised by them are discussed and clarified.
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  50. R. E. Chatham (1976). Consistency in Relativity. Foundations of Physics 6 (6):681-685.
    The error in Kingsley's attack on special relativity is shown to arise from his failure to actually use the Lorentz transformation. He has instead applied a fallacious symmetry argument to justify the use of time dilation in a situation for which this special case formula is not valid.
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