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  1.  49
    Wesson’s Induced Matter Theory with a Weylian Bulk.Mark Israelit - 2005 - Foundations of Physics 35 (10):1725-1748.
    The foundations of Wesson’s induced matter theory are analyzed. It is shown that the empty—without matter—5-dimensional bulk must be regarded as a Weylian space rather than as a Riemannian one. Revising the geometry of the bulk, we have assumed that a Weylian connection vector and a gauge function exist in addition to the metric tensor. The framework of a Weyl–Dirac version of Wesson’s theory is elaborated and discussed. In the 4-dimensional hypersurface, one obtains equations describing both fields, the gravitational and (...)
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  2. A Weyl-Dirac Geometric Particle.Mark Israelit & Nathan Rosen - 1996 - Foundations of Physics 26 (5):585-594.
    A spherically symmetric entity with the Weyl-Dirac geometry holding in its interior is investigated. The structure is determined by the presence of the Dirac gauge function, which creates a mass density. Two models are obtained, one that can describe a cosmic body, the other an elementary particle.
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  3.  62
    Torsional Weyl-Dirac Electrodynamics.Mark Israelit - 1998 - Foundations of Physics 28 (2):205-229.
    Issuing from a geometry with nonmetricity and torsion we build up a generalized classical electrodynamics. This geometrically founded theory is coordinate covariant, as well as gauge covariant in the Weyl sense. Photons having arbitrary mass, intrinsic magnetic currents, (magnetic monopoles), and electric currents exist in this framework. The field equations, and the equations of motion of charged (either electrically or magnetically) particles are derived from an action principle. It is shown that the interaction between magnetic monopoles is transmitted by massive (...)
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  4.  51
    Matter Creation by Geometry in an Integrable Weyl-Dirac Theory.Mark Israelit - 1999 - Foundations of Physics 29 (8):1303-1322.
    An integrable version of the Weyl-Dirac geometry is presented. This framework is a natural generalization of the Riemannian geometry, the latter being the basis of the classical general relativity theory. The integrable Weyl-Dirac theory is both coordinate covariant and gauge covariant (in the Weyl sense), and the field equations and conservation laws are derived from an action integral. In this framework matter creation by geometry is considered. It is found that a spatially confined, spherically symmetric formation made of pure geometric (...)
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  5.  70
    Cosmic Dark Matter and Dirac Gauge Function.Mark Israelit & Nathan Rosen - 1995 - Foundations of Physics 25 (5):763-777.
    It is suggested that the dark matter of the universe is due to the presence of a scalar field described by the gauge function introduced by Dirac in his modification of the Weyl geometry. The behavior of such dark matter is investigated.
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  6.  41
    On Measuring Standards in Weyl’s Geometry.Mark Israelit - 2005 - Foundations of Physics 35 (10):1769-1782.
    In Weyl’s geometry the nonintegrability problem and difficulties in defining measuring standards are reconsidered. Approaches removing the nonintegrability of length in the interior of atoms are given, so that atoms can serve as measuring standards. The Weyl space becomes a well founded framework for classical theories of electromagnetism and gravitation.
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  7.  39
    Measuring Standards in Weyl-Type Theories.Mark Israelit - 1989 - Foundations of Physics 19 (1):77-90.
    The problem of measurement in theories based on geometry with nonmetricity and contorsion is analyzed. In order to enable the use of atoms as measuring standards, one has to remove the nonintegrability of length in the interior of atoms. Geometrical descriptions appropriate fo this purpose are found in the general case and in the case of two-covariant theories.
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  8.  17
    Classical Elementary Particles in General Relativity.Mark Israelit & Nathan Rosen - 1991 - Foundations of Physics 21 (10):1237-1247.
    Elementary particles, regarded as the constituents of quarks and leptons, are described classically in the framework of the general relativity theory. There are neutral particles and particles having charges±1/3e. They are taken to be spherically symmetric and to have mass density, pressure, and (if charged) charge density. They are characterized by an equation of state P=−ρ suggested by earlier work on cosmology. The neutral particle has a very simple structure. In the case of the charged particle there is one outstanding (...)
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  9.  34
    Einstein: Distant Parallelism and Electromagnetism. [REVIEW]Mark Israelit & Nathan Rosen - 1985 - Foundations of Physics 15 (3):365-377.
    Einstein's approach to unified field theories based on the geometry of distant parallelism is discussed. The simplest theory of this type, describing gravitation and electromagnetism, is investigated. It is found that there is a charge-current density vector associated with the geometry. However, in the static spherically symmetric case no singularity-free solutions for this vector exist.
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  10.  14
    A Gauge-Covariant Bimetric Theory of Gravitation and Electromagnetism.Mark Israelit & Nathan Rosen - 1983 - Foundations of Physics 13 (10):1023-1045.
    The Weyl theory of gravitation and electromagnetism, as modified by Dirac, contains a gauge-covariant scalar β which has no geometric significance. This is a flaw if one is looking for a geometric description of gravitation and electromagnetism. A bimetric formalism is therefore introduced which enables one to replace β by a geometric quantity. The formalism can be simplified by the use of a gauge-invariant physical metric. The resulting theory agrees with the general relativity for phenomena in the solar system.
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  11.  14
    A Gauge-Covariant Bimetric Tetrad Theory of Gravitation and Electromagnetism.Mark Israelit - 1989 - Foundations of Physics 19 (1):33-55.
    In order to get to a geometrically based theory of gravitation and electromagnetism, a gauge covariant bimetric tetrad space-time is introduced. The Weylian connection vector is derived from the tetrads and it is identified with the electromagnetic potential vector. The formalism is simplified by the use of gauge-invariant quantities. The theory contains a contorsion tensor that is connected with spinning properties of matter. The electromagnetic field may be induced by conventional sources and by spinning matter. In absence of spinning matter, (...)
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  12.  9
    The Static Character of Prematter Particles.Mark Israelit & Nathan Rosen - 1992 - Foundations of Physics 22 (4):549-554.
    It is shown that all spherically symmetric distributions of prematter in the framework of general relativity are static. These results provide a justification for the models of elementary particles proposed previously.
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  13.  15
    Creation of Neutral Fundamental Particles in the Weyl–Dirac Version of Wesson’s IMT.Mark Israelit - 2007 - Foundations of Physics 37 (11):1628-1642.
    Spherically symmetric entities filled with matter and induced by the 5D bulk may be built in the empty 4D space-time. The substance of the entity, the latter regarded as a fundamental particle, is characterized by the prematter equation of state P=−ρ. The particle is covered in a Schwarzschild-like envelope and from the outside it is characterized by mass and radius. One can regard these entities as neutral fundamental particles being constituents of quarks and leptons. The presented classical models are developed (...)
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