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  • Springer  (9)
  • 1995-1999  (6)
  • 1990-1994  (3)
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  • 1
    Electronic Resource
    Electronic Resource
    Hans Ertel and cosmology (1996)
    Springer
    Foundations of physics 26 (1996), S. 1081-1088 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This paper deals with Hans Ertel's contribution to fundamental cosmological problems and with the irrelerance to geophysics. Ertl's studies arc related to Einstein's relativistic physics, Eddington's large numbers in cosmology, and to other problems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02061405
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Mach-Einstein doctrine and general relativity (1996)
    Springer
    Foundations of physics 26 (1996), S. 929-942 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is argued that, under the assumption that the strong principle of equivalence holds, the theoretical realization of the Mach principle (in the version of the Mach-Einstein doctrine) and of the principle of general relativity are alternative programs. That means only the former or the latter can be realized—at least as long as only field equations of second order are considered. To demonstrate this we discuss two sufficiently wide classes of theories (Einstein-Grossmann and Einstein-Mayer theories, respectively) both embracing Einstein's theory of general relativity (GRT). GRT is shown to be just that “degenerate case” of the two classes which satisfies the principle of general relativity but not the Mach-Einstein doctrine; in all the other cases one finds an opposite situation. These considerations lead to an interesting “complementarity” between general relativity and Mach-Einstein doctine. In GRT, via Einstein's equations, the covariant and Lorentz-invariant Riemann-Einstein structure of the space-time defines the dynamics of matter: The symmetric matter tensor Ttk is given by variation of the Lorentz-invariant scalar densityL mat, and the dynamical equations satisfied by Tik result as a consequence of the Bianchi identities valid for the left-hand side of Einstein's equations. Otherwise, in all other cases, i.e., for the “Mach-Einstein theories” here under consideration, the matter determines the coordinate or reference systems via gravity. In Einstein-Grossmann theories using a holonomic representation of the space-time structure, the coordinates are determined up to affine (i.e. linear) transformations, and in Einstein-Mayer theories based on an anholonomic representation the reference systems (the tetrads) are specified up to global Lorentz transformations. The corresponding conditions on the coordinate and reference systems result from the postulate that the gravitational field is compatible with the strong equivalence of inertial and gravitational masses.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02148835
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  • 3
    Electronic Resource
    Electronic Resource
    Einstein equations and Fierz-Pauli equations with self-interaction in quantum gravity (1994)
    Springer
    Foundations of physics 24 (1994), S. 949-962 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Einstein equations can be written as Fierz-Pauli equations with self-interaction, $$W\gamma _{ik} = - G_{ik} + \tfrac{1}{2}g_{ik} g^{mn} G_{mn} - k(T_{ik} - \tfrac{1}{2}g_{ik} g^{mn} T_{mn} )$$ together with the covariant Hilbert-gauge condition, $$(\gamma _i^h - \tfrac{1}{2}\delta _i^k g^{mn} \gamma _{mn} )_{;k} = 0$$ where W denotes the covariant wave operator and G ik the Einstein tensor of the metric g ik collecting all nonlinear terms of Einstein's equations. As is known, there do not, however, exist plane-wave solutions γ ik(z)with g ik Z,i Z,k=0of these equations such that what is essential to the introduction of gravitons is not satisfied in general relativity. This nonexistence corresponds with the uncertainty relation,Δp(Δg*)2(Δx)3≥h hG/ c 3 concerning the total nonlinear gravitational field g *ik =g k +γ k .
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02067656
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  • 4
    Electronic Resource
    Electronic Resource
    Quantum cosmology and Eddington's large cosmic numbers (1994)
    Springer
    Foundations of physics 24 (1994), S. 1077-1088 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A theory that contains three fundamental constants from which one can build length, time, and mass (or force) etalons satisfies with that a necessary criterion of a “universal unified field theory.” In order to interpret such a theory physically, one has to translate it into the Galilei-Newtonian language. This leads to classical “pictures” whose compatibility is ensured by introducing appropriate measurement-theoretical principles which imply corresponding uncertainty relations. In this paper we compare different (mainly gravitational) theories from the point of view of the fundamental constants underlying each case, and of the respective uncertainty relations. Assuming Eddington's hypothesis of large cosmic numbers, it is argued in particular that in quantized general relativity one arrives at less stringent limitations on cosmology than in other conceivable approaches satisfying the principle of minimal coupling. These limitations, however, are in all cases strong enough to bar the way to quantum cosmology. Instead one is led to a Diophantean concept.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02054649
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  • 5
    Electronic Resource
    Electronic Resource
    Planckions and the early stage of the universe (1990)
    Springer
    Foundations of physics 20 (1990), S. 241-250 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is shown that, due to Rosenfeld's inequality relations, there is no possibility of defining states of the Friedmann universe in a physically sensible manner when the world radius becomes equal to or smaller than Planck's length.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00731648
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  • 6
    Electronic Resource
    Electronic Resource
    Dark Matter versus Mach's Principle (1998)
    Springer
    Foundations of physics 28 (1998), S. 273-290 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Empirical and theoretical evidence show that the astrophysical problem of dark matter might be solved by a theory of Einstein-Mayer type. In this theory, up to global Lorentz rotations, the reference system is determined by the motion of cosmic matter. Thus, one is led to a “Riemannian space with teleparallelism” realizing a geometric version of the Mach-Einstein doctrine. The field equations of this gravitational theory contain hidden matter terms, where the existence of hidden matter is inferred solely from its gravitational effects. It is argued that, in the nonrelativistic mechanical approximation, they provide an inertia-free mechanics, where the inertial mass of a body is induced by the gravitational action of the comic masses. Interpreted from the Newtonian point of view, this mechanics shows that the effective gravitational mass of astrophysical objects depends on r such that one expects the existence of dark matter.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018756904277
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  • 7
    Electronic Resource
    Electronic Resource
    On the quantization of general relativity in anholonomic variables (1996)
    Springer
    Foundations of physics 9 (1996), S. 157-164 
    Details
    ISSN: 1572-9524
    Keywords: quantum gravity ; Einstein-Cartan theories ; Bohr-Sommerfeld quantum rules
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In discussing Bohr-Sommerfeld-like quantum rules for gravity, it is argued that Einstein's Riemannian theory of general relativity rather leads to a quantum field-mechanics than to a quantum-field theory of gravity. We construct the canonically conjugate coordinates and momenta of this gravito-dynamics in the framework of the Einstein-Cartan teleparallelism.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02186258
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  • 8
    Electronic Resource
    Electronic Resource
    BOOK REVIEW: The Dilemma of Einstein, Podolsky and Rosen—60 Years Later. An International Symposium in Honour of Nathan Rosen, edited by A. Mann and M. Revzen (1998)
    Springer
    General relativity and gravitation 30 (1998), S. 1141-1141 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026613024598
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  • 9
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    BOOK REVIEW: The Dilemma of Einstein, Podolsky and Rosen—60 Years Later. An International Symposium in Honour of Nathan Rosen, edited by A. Mann and M. Revzen (1998)
    Springer
    Details
    Publication Date: 1998-07-01
    Print ISSN: 0001-7701
    Electronic ISSN: 1572-9532
    Topics: Physics
    Published by Springer
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