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Title:
Das makroskopische Gravitationsfeld in der einheitlichen Quantenfeldtheorie
Authors:
Treder, Hans-Jürgen
Publication:
Annalen der Physik, vol. 475, Issue 3, pp.194-206 (AnP Homepage)
Publication Date:
00/1967
Origin:
WILEY
Language:
German
DOI:
10.1002/andp.19674750308
Bibliographic Code:
1967AnP...475..194T

Abstract

A theory of the gravitation field is proposed in connection with a new spinorial formulation of EINSTEIN'S equivalence principle and HEISENBERG'S unified quantum theory of fields. In the gravitation theory the gravitational field is given by the coefficients hAi (xl) of the matrix of the anholonomic non-Lorentzian transformations from the Lorentzian metric AB to the physical metric gik (xl) of the Riemannian space-time V4. The field equations and the commutation rules for the hAi are working in the Lorentzian space. The metric of the Riemannian V4 is given by the average gik = |hAi, hBk|AB. For all matter fields (and for HEISENBERG's Urfeld) the field equations are equations in this Riemannian V4. The interaction between the gravitational field hAi and the matter-tensor is given by a potential-like coupling-term.We prove that this new theory of gravitation gives for makroscopic matter the same linear approximation equations like general relativity and that a perihel-motion δ 76 δ EINSTEIN results in the second approximation. But, we are finding essential differences to general relativity for the theory of gravitation radiation and for the theory of interaction of matter with strong gravitation fields.
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