Kovariante Superpotentiale in der Allgemeinen Relativitätstheorie

We consider the connection between EINSTEIN 's, v. FREUD 's, and MØLLER 's views concerning the energy-momentum problem. First we generalize MØLLER 's expressions in such a way that the tetrad need not be orthonormalized. Then we mark out a covering of space-time with holonomic tetrads in the sense given by SCHOUTEN . In case that the covering of space-time with natural bases used to give the components of all quantities, is identical with the marked out covering of space-time with holonomic tetrads, we obtain from the generalized MØLLER 's expressions the well known ones given by EINSTEIN and v. FREUD .     

Bemerkungen zur Relativitätstheorie und zu den Quanten

Remarks on Relativity and on Quantum Theory The theoretical and experimental foundations of gravitation and quantum physics are discussed as well as the relation of these two theories and the role of basic notions like observables.     

Die Erhaltung der Teilchenzahlen in der allgemeinen Relativitätstheorie

The Conservation of Particle-Numbers in General Relativity If in a special relativistic field theory the particle number is an integral of a conservation law for a particle-current, then the conservation of the particle-number is valid in general relativity, too.     

Zur Konstanz der Teilchenzahlen in der allgemeinen Relativitätstheorie

This paper suggests that the “spontaneous creation of matter in strong gravitation fields” – which is asserted in some papers – may be a result of an inconsistent approximation for the simultaneous systems of Einstein field equations and of matter field equations. Firstly we shall remark that Einstein's dynamical equation is not only the consequence of the Einstein field equations (via Bianchi identity) but also the consequence of the relativistic matter field equations and of the weak principle of equivalence. Therefore, for all discussions we must start from the dynamical equation and from the conservation laws of charges. Secondly, we find a formal inhomogeneous dynamical equation for the matter tensor by working in a background-field approximation. But, this inhomogenity vanishes according to the matter field equations. Thirdly, we discuss the properties in an evolution-cosmos. In such cosmos a law of conformal conservation of energy is fulfilled. From this conservation law results that the energy is a continuous function of the gauge of time. Such continuous dependence involves the constance of discrete numbers according to the well known argument of Planck.     

Teilchen-Modelle und effektive Radien in der Allgemeinen Relativitätstheorie

Particle Models and Effective Radius in the General Theory of Relativity We discuss the role of the classical particle radius defined in the classical field models of particles for the general relativistic particle problem suggested by EINSTEIN. The main point is that in General Relativity the point-like particles without field masses may be self-consistent but not the model particles with an effective radius given by the Schwarzschild radius of the mechanical particle mass.     

Einsteins hermitesche Relativitätstheorie als Unifikation von Gravo- und Chromodynamik

Einstein's Hermitian Theory of Relativity as Unification of Gravo- and Chromodynamics Einstein's Hermitian unified field theory is the continuation of the Riemannian GRG to complexe values with a Hermitian fundamental tensor gμ_v = g_v*μ This complexe continuation of GRG implies the possibility of matter and anti matter with a sort of CPT theorem. — Einstein himself has interpreted his theory as a unification and generalization of the Einstein and Maxwell theory, th. i. of gravodynamics and of electrodynamics. However — according the EIH approximation —, from Einstein's equations no Coulomb-like forces between the charges are resulting (INFELD, 1950). But, the forces between two charges ?_A and ?_B have the form (Treder 1957) It is interesting that such forces are postulated in the classical models of the chromodynamics of the interactions between quarks (for the confinement of their motions. If we interprete the purely imaginary part gμ_v of the hermitian metrics gμ_v=gμ_v+gμ_v as the dual of the field of gluons then, all peculiarities of Einstein's theory become physically meaningful. — Einstein's own interpretation suggests that the both long-range fields, gravitation and electromagnetism, must be unified in a geometrical field theory. However, the potential α/r + ε/2 has a “longer range” than the Coulomb potential ～1, and such an asymptotical potential ～ ε/2 is resulting from Einstein's equations (TREDER 1957). In Einstein's theory there are no free charges with \documentclass{article}\pagestyle{empty}\begin{document}$ \sum\limits_A^n {\varepsilon A} $\end{document}. (Wyman 1950) because the field mass of a charged particle becomes infinite asymptotically: That means, in a chromodynamics we dont's have free quarks. The same divergence are resulting from one-particle systems with non-vanishing total charges: M～ε²r. However, if the total charges vanish because in a domain ～L³ the positive sources are compensated by negative sources, the field masses of the n-charge systems become finite. From the gravitational part of Einstein's equations we get field masses which are the masses measured by observers in distances r ? L. That means, the masses of quark systems with the colour condition \documentclass{article}\pagestyle{empty}\begin{document}$ \sum\limits_A^n {\varepsilon A} $\end{document} are proportional to the linear dimension L of the system.     

Über die dynamische Gleichung in der Hermiteschen Relativitätstheorie

Dynamical Equations in Hermitian Relativity Remarks on the physical meaning of the Bianchiidentity in the Hermitian Relativity of Einstein and Straus.     

Die Super-Eich-Symmetrie in der Allgemeinen Relativitätstheorie (Einsteins A-Gruppe)

On Super-gauge-symmetry in General Relativity (Einstein's A Transformations) The super-gauge-invariance of general-relativistic field theories is given by Einstein's A-group of the transformations of the affine connections Γ which preserve the absolute parallelism. This invariance principle means that all informations about world geometry come from astronomical observations. However, the postulate of the invariance under these A-transformations implies strong conditions for microscopical structure of matter which may be interpreted as “super-gravity”.