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M. Carmeli [12]Moshe Carmeli [2]
  1. Cosmological Special Relativity.M. Carmeli - 1996 - 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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  2. Cosmological Relativity: A Special Relativity for Cosmology. [REVIEW]M. Carmeli - 1995 - 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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  3. The Einstein-Rosen Gravitational Waves and Cosmology.M. Carmeli & Ch Charach - 1984 - Foundations of Physics 14 (10):963-986.
    This paper reviews recent applications of the Einstein- Rosen type space-times to some problems of modern cosmology. An extensive overview of inhomogeneous universes filled with gravitational waves, classical fields, and relativistic fluids is given. The dynamics of primordial inhomogeneities, such as gravitational and matter waves and shocks, their interactions, and the global evolution of the models considered, is presented in detail.
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  4.  20
    Field Theory onR× S 3 Topology. I: The Klein-Gordon and Schrödinger Equations. [REVIEW]M. Carmeli - 1985 - Foundations of Physics 15 (2):175-184.
    A Klein-Gordon-type equation onR×S 3 topology is derived, and its nonrelativistic Schrödinger equation is given. The equation is obtained with a Laplacian defined onS 3 topology instead of the ordinary Laplacian. A discussion of the solutions and the physical interpretation of the equation are subsequently given, and the most general solution to the equation is presented.
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  5.  19
    Field Theory onR× S 3 Topology. III: The Dirac Equation. [REVIEW]M. Carmeli & S. Malin - 1985 - Foundations of Physics 15 (10):1019-1029.
    A Dirac-type equation on R×S 3 topology is derived. It is a generalization of the previously obtained Klein-Gordon-type, Schrödinger-type, and Weyl-type equations, and reduces to the latter in the appropriate limit. The (discrete) energy spectrum is found and the corresponding complete set of solutions is given as expansions in terms of the matrix elements of the irreducible representations of the group SU 2 . Finally, the properties of the solutions are discussed.
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  6.  16
    Field Theory onR× S 3 Topology. II: The Weyl Equation. [REVIEW]M. Carmeli & S. Malin - 1985 - Foundations of Physics 15 (2):185-191.
    A Weyl-type equation onR×S 3 topology is derived, as a generalization to previously obtained Klein-Gordon- and Schrödinger-type equations for the same topology. The general solution of the new equation is given as an expansion in the matrix elements of the irreducible representations of the groupSU 2. The properties of the solutions are discussed.
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  7.  33
    Field Theory onR×S 3 Topology. VI: Gravitation. [REVIEW]M. Carmeli & S. Malin - 1987 - Foundations of Physics 17 (4):407-417.
    We extend to curved space-time the field theory on R×S3 topology in which field equations were obtained for scalar particles, spin one-half particles, the electromagnetic field of magnetic moments, an SU2 gauge theory, and a Schrödinger-type equation, as compared to ordinary field equations that are formulated on a Minkowskian metric. The theory obtained is an angular-momentum representation of gravitation. Gravitational field equations are presented and compared to the Einstein field equations, and the mathematical and physical similarity and differences between them (...)
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  8.  15
    R×S 3 Special Theory of Relativity.M. Carmeli - 1985 - 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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  9.  15
    The Dynamics of Rapidly Rotating Bodies.M. Carmeli - 1985 - Foundations of Physics 15 (8):889-904.
    The dynamics of rapidly rotating bodies is formulated in a rotationally invariant form in all frames rotating with constant angular velocities relative to each other. This includes the energy, angular momentum, rotational frequency, and moment of inertia. The transformation between these quantities, when expressed in different frames, is then given explicitly and expressed in terms of both the angular momentum and the rotational frequency variables. Comparison with the approximate formula for the Routhian is made, and some consequences of physical interest (...)
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  10.  22
    Field Theory onR×S 3 Topology. IV: Electrodynamics of Magnetic Moments. [REVIEW]M. Carmeli & S. Malin - 1986 - Foundations of Physics 16 (8):791-806.
    The equations of electrodynamics for the interactions between magnetic moments are written on R×S3 topology rather than on Minkowskian space-time manifold of ordinary Maxwell's equations. The new field equations are an extension of the previously obtained Klein-Gordon-type, Schrödinger-type, Weyl-type, and Dirac-type equations. The concept of the magnetic moment in our case takes over that of the charge in ordinary electrodynamics as the fundamental entity. The new equations have R×S3 invariance as compared to the Lorentz invariance of Maxwell's equations. The solutions (...)
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  11.  21
    For Nathan Rosen on His Seventy-Fifth Birthday.Moshe Carmeli & Alwyn van der Merwe - 1984 - Foundations of Physics 14 (10):923-924.
  12.  20
    Field Theory onR×S 3 Topology: Lagrangian Formulation. [REVIEW]M. Carmeli & A. Malka - 1990 - Foundations of Physics 20 (1):71-110.
    A brief description of the ordinary field theory, from the variational and Noether's theorem point of view, is outlined. A discussion is then given of the field equations of Klein-Gordon, Schrödinger, Dirac, Weyl, and Maxwell in their ordinary form on the Minkowskian space-time manifold as well as on the topological space-time manifold R × S3 as they were formulated by Carmeli and Malin, including the latter's most general solutions. We then formulate the general variational principle in the R × S3 (...)
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  13.  17
    Field Theory onR×S 3 Topology. V:SU 2 Gauge Theory. [REVIEW]M. Carmeli & S. Malin - 1987 - Foundations of Physics 17 (2):193-200.
    A gauge theory on R×S 3 topology is developed. It is a generalization to the previously obtained field theory on R×S 3 topology and in which equations of motion were obtained for a scalar particle, a spin one-half particle, the electromagnetic field of magnetic moments, and a Shrödinger-type equation, as compared to ordinary field equations defined on a Minkowskian manifold. The new gauge field equations are presented and compared to the ordinary Yang-Mills field equations, and the mathematical and physical differences (...)
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  14. Relativity.Moshe Carmeli, Stuart I. Fickler & Louis Witten (eds.) - 1970 - New York: Plenum Press.