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H. -J. Treder [11]H.-J. Treder [4]
  1.  57
    The Einstein Shift in Einstein's Box Experiment.H. -J. Treder - 1975 - Foundations of Physics 5 (1):135-142.
    The question of whether the Einstein shift in clock rates has a bearing on the validity of the fourth Heisenberg uncertainty relation is discussed. It is shown that, even if one would accept all the relevant assumptions and conclusions of Bohr and Rosenfeld, this uncertainty relation could not be saved by an Einstein shift in the case of an electrostatic weighing. This means that the Einstein shift does not play any role in determining the validity of the fourth Heisenberg relation.
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  2. Dark Matter Versus Mach's Principle.H.-H. V. Borzeszkowski & H.-J. Treder - 1998 - Foundations of Physics 28 (2):273-290.
    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 (...)
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  3.  95
    Mach’s Principle and Hidden Matter.H. -H. V. Borzeszkowski & H. -J. Treder - 1997 - Foundations of Physics 27 (4):595-603.
    According to the Einstein-Mayer theory of the Riemanniann space-time with Einstein-Cartan teleparallelism, the local Lorentz invariance is broken by the gravitational field defining Machian reference systems. This breaking of symmetry implies the occurrence of “hidden matter” in the Einstein equations of gravity. The hidden matter is described by the non-Lorentz-invariant energy-momentum tensor $\hat \Theta _{ik}$ satisfying the relation $\hat \Theta _{i;k}^k = 0$ . The tensor $\hat \Theta _{ik}$ is formed from the Einstein-Cartan torsion field given by the anholonomy objects, (...)
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  4.  35
    Local and Non-Local Aspects of Quantum Gravity.H.-H. V. Borzeszkowski, B. K. Datta, V. De Sabbata, L. Ronchetti & H.-J. Treder - 2002 - Foundations of Physics 32 (11):1701-1716.
    The analysis of the measurement of gravitational fields leads to the Rosenfeld inequalities. They say that, as an implication of the equivalence of the inertial and passive gravitational masses of the test body, the metric cannot be attributed to an operator that is defined in the frame of a local canonical quantum field theory. This is true for any theory containing a metric, independently of the geometric framework under consideration and the way one introduces the metric in it. Thus, to (...)
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  5.  40
    Quantum Theory and Einstein's General Relativity.H. -H. V. Borzeszkowski & H. -J. Treder - 1982 - Foundations of Physics 12 (11):1113-1129.
    We discuss the meaning and prove the accordance of general relativity, wave mechanics, and the quantization of Einstein's gravitation equations themselves. Firstly, we have the problem of the influence of gravitational fields on the de Broglie waves, which influence is in accordance with Eeinstein's weak principle of equivalence and the limitation of measurements given by Heisenberg's uncertainty relations. Secondly, the quantization of the gravitational fields is a “quantization of geometry.” However, classical and quantum gravitation have the same physical meaning according (...)
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  6.  38
    Mach-Einstein Doctrine and General Relativity.H. -H. von Borzeszkowski & H. -J. Treder - 1996 - Foundations of Physics 26 (7):929-942.
    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 (...)
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  7.  31
    Remarks on the Relation Between General Relativity and Quantum Theory.H. -H. V. Borzeszkowski & H. -J. Treder - 1982 - Foundations of Physics 12 (4):413-418.
    A discussion of the diffraction and scattering of particles by a grating shows that the experiment discussed by H. Hönl and by L. Rosenfeld in 1965 and again in 1981 does not reveal any contradiction between general relativity and quantum theory. Moreover, these theories, in principle, cannot refute one another because the (weak) principle of equivalence, underlying general relativity theory, entails that gravitation does not alter the laws of microphysics.
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  8.  12
    Einstein Equations and Fierz-Pauli Equations with Self-Interaction in Quantum Gravity.H. -H. V. Borzeszkowski & H. -J. Treder - 1994 - Foundations of Physics 24 (6):949-962.
    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 (...)
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  9.  89
    Local and Non-Local Aspects of Quantum Gravity.H. -H. V. Borzeszkowski, B. K. Datta, V. De Sabbata, L. Ronchetti & H. -J. Treder - 2002 - Foundations of Physics 32 (11):1701-1716.
    The analysis of the measurement of gravitational fields leads to the Rosenfeld inequalities. They say that, as an implication of the equivalence of the inertial and passive gravitational masses of the test body, the metric cannot be attributed to an operator that is defined in the frame of a local canonical quantum field theory. This is true for any theory containing a metric, independently of the geometric framework under consideration and the way one introduces the metric in it. Thus, to (...)
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  10.  48
    Is Physics at the Threshold of a New Stage of Evolution?R. Rompe & H. -J. Treder - 1983 - Foundations of Physics 13 (3):347-361.
    Starting from Planck's thesis concerning the aims and methods of theoretical physics as stated in his famous lecture (Leiden, 1908) onDie Einheit des physikalischen Weltbildes and his lectures in the next year at Columbia University, we discuss some aspects of physics and mathematics in our time. We compare relativity theory, quantum mechanics, and atomic physics at their inception with the situation today in field theories, elementary particle physics, and mathematical physics.
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  11.  29
    Aspects of the Mach–Einstein Doctrine and Geophysical Application (A Historical Review).W. Schröder & H. -J. Treder - 2006 - Foundations of Physics 36 (6):883-901.
    The present authors have given a mathematical model of Mach's principle and of the Mach–Einstein doctrine about the complete induction of the inertial masses by the gravitation of the universe. The analytical formulation of the Mach–Einstein doctrine is based on Riemann's generalization of the Lagrangian analytical mechanics (with a generalization of the Galilean transformation) on Mach's definition of the inertial mass and on Einstein's principle of equivalence. All local and cosmological effects—which are postulated as consequences of Mach's principle by C. (...)
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  12.  65
    Post-Newtonian Corrections in the Dynamics in the Earth–Moon System and Their Importance for the Relativistic Theories of Gravitation: A Historical Case Study. [REVIEW]W. Schröder & H.-J. Treder - 2002 - Foundations of Physics 32 (1):177-186.
    As an example of a historical case study, some aspects of the post-Newtonian corrections in the Earth–Moon dynamics are described and discussed.
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  13.  27
    Covariance and Quantum Principles–Censors of the Space-Time Structure.H.-J. Treder & H.-H. Von Borzeszkowski - 2006 - Foundations of Physics 36 (5):757-763.
    It is shown that the covariance together with the quantum principle speak for an affinely connected structure which, for distances greater than Planck’s length, goes over in a metrically connected structure of space-time.
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  14.  25
    Covariance and Quantum Principles–Censors of the Space-Time Structure.H. -J. Treder & H. -H. Von Borzeszkowski - 2006 - Foundations of Physics 36 (5):757-763.
    It is shown that the covariance together with the quantum principle speak for an affinely connected structure which, for distances greater than Planck’s length, goes over in a metrically connected structure of space-time.
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