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José G. Vargas [15]José Guadalupe Vargas [2]
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  1. The Cartan-Einstein Unification with Teleparallelism and the Discrepant Measurements of Newton's Constant G.Jose G. Vargas & Douglas G. Torr - 1999 - Foundations of Physics 29 (2):145-200.
    We show that in 1929 Cartan and Einstein almost produced a theory in which the electromagnetic (EM) field constitutes the time-like 2-form part of the torsion of Finslerian teleparallel connections on pseudo-Riemannian metrics. The primitive state of the theory of these connections would not, and did not, permit Cartan and Einstein to realize how their torsion field equations contained the Maxwell system and how the Finslerian torsion contains the EM field. Cartan and Einstein discussed curvature field equations, though failing to (...)
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  2.  95
    The Emergence of a Kaluza-Klein Microgenometry From the Invariants of Optimally Euclidean Lorentzian Spaces.José G. Vargas & Douglas G. Torr - 1997 - Foundations of Physics 27 (4):533-558.
    It is shown that relativistic spacetimes can be viewed as Finslerian spaces endowed with a positive definite distance rather than as pariah, pseudo-Riemannian spaces. Since the pursuit of better implementations of “Euclidicity in the small” advocates absolute parallelism, teleparallel nonlinear Euclidean connections are scrutinized.The fact that is the set of horizontal fundamental 1-forms in the Finslerian fibration implies that it can be used in principle for obtainingcompatible new structures. If the connection is teleparallel, a Kaluza-Klein space indeed emerges from, endowed (...)
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  3.  19
    Revised Robertson's Test Theory of Special Relativity: Supergroups and Superspace. [REVIEW]José G. Vargas - 1986 - Foundations of Physics 16 (12):1231-1261.
    The revised Robertson's test theory of special relativity (SR) has been constructed upon a family of sets of passive coordinate transformations in flat space-time [J. G. Vargas and D. G. Torr,Found. Phys., 16, 1089 (1986)]. In the same paper, it has also been shown that the boosts depend in general on the velocities of the two frames involved and not only on their relative velocity. The only exception to this is SR, if one has previously used an appropriate constraint to (...)
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  4.  61
    Teleparallel Kähler Calculus for Spacetime.Jose G. Vargas & Douglas G. Torr - 1998 - Foundations of Physics 28 (6):931-958.
    In a recent paper [J. G. Vargas and D. G. Torr, Found. Phys. 27, 599 (1997)], we have shown that a subset of the differential invariants that define teleparallel connections in spacetime generates a teleparallel Kaluza-Klein space (KKS) endowed with a very rich Clifford structure. A canonical Dirac equation hidden in this structure might be uncovered with the help of a teleparallel Kähler calculus in KKS. To bridge the gap to such a calculus from the existing Riemannian Kähler calculus in (...)
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  5.  47
    On the Geometrization of Electrodynamics.Jose G. Vargas - 1991 - Foundations of Physics 21 (4):379-401.
    This paper develops the conjecture that the electromagnetic interaction is the manifestation of the torsion Ωμ of spacetime. This conjecture is made feasible by the natural separation of the connection ω μ v into “gravitational” and “electromagnetic” parts α μ v and β μ v , respectively, related to the metric and to the torsion. When α μ v is neglected in front of β μ v , the affine geodesics are shown to become the equations of motion of charged (...)
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  6.  14
    Revised Robertson's Test Theory of Special Relativity: Space-Time Structure and Dynamics. [REVIEW]José G. Vargas & Douglas G. Torr - 1986 - Foundations of Physics 16 (11):1089-1126.
    The experimental testing of the Lorentz transformations is based on a family of sets of coordinate transformations that do not comply in general with the principle of equivalence of the inertial frames. The Lorentz and Galilean sets of transformations are the only member sets of the family that satisfy this principle. In the neighborhood of regular points of space-time, all members in the family are assumed to comply with local homogeneity of space-time and isotropy of space in at least one (...)
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  7.  24
    Electrodynamics of the Maxwell-Lorentz Type in the ten-Dimensional Space of the Testing of Special Relativity: A Case for Finsler Type Connections. [REVIEW]Jose G. Vargas & Douglas G. Torr - 1989 - Foundations of Physics 19 (3):269-291.
    It has recently been shown by Vargas, (4) that the passive coordinate transformations that enter the Robertson test theory of special relativity have to be considered as coordinate transformations in a seven-dimensional space with degenerate metric. It has also been shown by Vargas that the corresponding active coordinate transformations are not equal in general to the passive ones and that the composite active-passive transformations act on a space whose number of dimensions is ten (one-particle case) or larger (more than one (...)
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  8.  34
    The Construction of Teleparallel Finsler Connections and the Emergence of an Alternative Concept of Metric Compatibility.José G. Vargas & Douglas G. Torr - 1997 - Foundations of Physics 27 (6):825-843.
    The issue of whether teleparallel nonlinear connections exist is resolved by their explicit construction on Finslerian metrics that arise in the Robertson test theory of special relativity (RTTSR), and on the Minkowski metric in particular. The method is an adaptation to the Finsler bundle of a similar construction for teleparallel linear connections. It suggests the existence of a concept of metric compatibility alternative toω μλ +ω λμ = 0 for teleparallel nonlinear connections. A sophisticated system of partial differential equations whose (...)
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  9.  27
    Geometrization of the Physics with Teleparallelism. I. The Classical Interactions.José G. Vargas - 1992 - Foundations of Physics 22 (4):507-526.
    A connection viewed from the perspective of integration has the Bianchi identities as constraints. It is shown that the removal of these constraints admits a natural solution on manifolds endowed with a metric and teleparallelism. In the process, the equations of structure and the Bianchi identities take standard forms of field equations and conservation laws.The Levi-Civita (part of the) connection ends up as the potential for the gravity sector, where the source is geometric and tensorial and contains an explicit gravitational (...)
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  10.  11
    Revised Robertson's Test Theory of Special Relativity.José G. Vargas - 1984 - Foundations of Physics 14 (7):625-651.
    The only test theory used by workers in the field of testing special relativity to analyze the significance of their experiments is the proof by H. P. Robertson [Rev. Mod. Phys. 21, 378 (1949)] of the Lorentz transformations from the results of the experimental evidence. Some researchers would argue that the proof contains an unwarranted assumption disguised as a convention about synchronization procedures. Others would say that alternative conventions are possible. In the present paper, no convention is used, but the (...)
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  11.  14
    Nonrelativistic Para-Maxwellian Electrodynamics with Preferred Reference Frame in the Universe.Jose G. Vargas - 1982 - Foundations of Physics 12 (9):889-905.
    The electrodynamics consistent with the para-Lorentzian mechanics developed in previous papers is obtained. The transformation law for the fields, Maxwell's equations, and the potentials are the main topics considered. One then obtains the gauge transformation and the electromagnetic action with a view to further develop the para-Lorentzian theory of the electron.
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  12.  12
    Geometrization of the Physics with Teleparallelism. II. Towards a Fully Geometric Dirac Equation.José G. Vargas, Douglas G. Torr & Alvaro Lecompte - 1992 - Foundations of Physics 22 (4):527-547.
    In an accompanying paper (I), it is shown that the basic equations of the theory of Lorentzian connections with teleparallelism (TP) acquire standard forms of physical field equations upon removal of the constraints represented by the Bianchi identities. A classical physical theory results that supersedes general relativity and Maxwell-Lorentz electrodynamics if the connection is viewed as Finslerian. The theory also encompasses a short-range, strong, classical interaction. It has, however, an open end, since the source side of the torsion field equation (...)
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  13.  12
    The Foundations of Quantum Mechanics and the Evolution of the Cartan-Kähler Calculus.Jose G. Vargas - 2008 - Foundations of Physics 38 (7):610-647.
    In 1960–1962, E. Kähler enriched É. Cartan’s exterior calculus, making it suitable for quantum mechanics (QM) and not only classical physics. His “Kähler-Dirac” (KD) equation reproduces the fine structure of the hydrogen atom. Its positron solutions correspond to the same sign of the energy as electrons.The Cartan-Kähler view of some basic concepts of differential geometry is presented, as it explains why the components of Kähler’s tensor-valued differential forms have three series of indices. We demonstrate the power of his calculus by (...)
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  14.  9
    Algunos Mitos, Estereotipos, Realidades y Retos de Latinoamérica.José Guadalupe Vargas - 2000 - Cinta de Moebio 8.
    Most Latin American scholars treat Latin American nations as a simple study object with similar characteristics. The purpose of this essay is to analyze some myths, stereotypes, realities, and challenges given to one of the most important regions of the world, knowing as Latin America. Latin Americ..
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  15.  8
    Kinematical and Gravitational Analysis of the Rocket-Borne Clock Experiment by Vessot and Levine Using the Revised Robertson's Test Theory of Special Relativity.José G. Vargas - 1986 - Foundations of Physics 16 (10):1003-1020.
    The kinematic aspects of the rocket-borne clock experiment by Vessot and Levine are analyzed with the revised Robertson's test theory of special relativity (Found. Phys. 14, 625 (1984)). Besides the expected time-dilation, it is found that the intermediate steps of this experiment yield in principle Michelson-Morley type information (a relation between longitudinal and transverse length contractions) in the third order of the velocities involved, but no relativity-of-simultaneity related effects.The flat space-time test theory induces a family of “spherically symmetric” line elements (...)
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  16.  6
    Problems of Synchronization in Special Relativity: A Reply to G. Cavalleri and G. Spinelli. [REVIEW]Jose G. Vargas - 1983 - Foundations of Physics 13 (12):1231-1235.
    Cavalleri and Spinelli have criticized previous work, connected with synchronization procedures, by the present author. This reply discusses their criticisms.
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  17.  4
    La Economía y la Reinvención del Estado Mexicano.José Guadalupe Vargas - 2000 - Cinta de Moebio 8.
    En los últimos años, la importancia del rol del Estado en la formulación de políticas económicas ha sufrido transformaciones considerables. En México, ha sido impuesto el modelo neoliberal en reemplazo de las políticas proteccionistas y estatistas de los regímenes populistas. Los resultados han ..
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