Gravitation und weitreichende schwache Wechselwirkungen bei Neutrino‐Feldern Gedanken zu einer Theorie der solaren Neutrinos
Authors: Treder H.‐J. 
Published: July 2007

The strange non‐evidence of the solar‐neutrino current by the experiments of DAVIS et al. postulates a fundamental revision of the theory of weak interactions and of its relations to gravitation theory. (We assume that the astrophysical stellar models are not completely wrong.) – Our paper is based on PAULI's grand hypothesis about the connection between weak and gravitational interactions. According to PAULI and BLACKETT the (dimensionless) gravitation constant is the square of the (dimensionless) FERMI‐interaction constant and according to the hypotheses of PAULI, DE BROGLIE, and JORDAN the RIEMANN‐EINSTEIN gravitational metric gik is fusioned by the four independent WEYLian neutrino fields (β‐neutrinos and β‐antineutrinos, μ‐neutrinos and μ‐antineutrinos). This fusion gives four reference tetrads hiA(xl) as neutrino‐current vectors, firstly. Then, the metric gik is defined by the equation gik = ηAB hiAhηB according to EINSTEIN's theory of tele‐parallelism in RIEMANNian space‐times.

The relation of the gravitation field theory to FERMI's theory of weak interactions becomes evident in our reference‐tetrads theory of gravitation (TREDER 1967, 1971). – According to this theory the coupling of the gravitation potential hiA with the matter Tιi is given by a potential‐like (FERMI‐like) interaction term. In this interaction term two WEYL spinor‐fields are operating on the matter‐tensor, simultanously. Therefore, the gravitation coupling constant is PAULI's square of the FERMI‐constant.

Besides of the fusion of the RIEMANN‐EINSTEIN metric gik by four WEYL spinors we are able to construct a conformal flat metric ĝik = ϕ2ηik by fusion from each two WEYL spinors. (This hypothesis is in connection with our interpretation of EINSTEIN's hermitian field theory as a unified field‐theory of the gravitational metric gik and a WEYL spinor field [TREDER 1972].) Moreover, from the reference‐tetrads theory is resulting that the WEYL spinors in the “new metric” ĝik are interacting with the DIRAC matter current by a FERMI‐like interaction term and that these WEYL spinors fulfil a wave equation in the vacuum. Therefore, we have a long‐range interaction with the radiced gravitational constant \documentclass{article}\pagestyle{empty}\begin{document}$ \sqrt {\frac{{tm^2 }}{{hc}}} $\end{document} as a coupling constant. That means, we have a long‐range interaction which is 1018 times stronger than the gravitation interaction. – However, according to the algebraic structure of the conform‐flat this long‐range interaction is effective for the neutrino currents, only. And for these neutrinos the interaction is giving an EINSTEIN‐like redshift of its frequences.

The characteristic quantity of this “EINSTEIN shift” is a second gravitation radius â of each body:

N = number of baryons, m = mass of a baryon.)

This radius â is 1018 times larger than the EINSTEIN‐SCHWARZSCHILD gravitation radius a = fM/c2:

But, this big “weak radius” â has a meaning for the neutrinos, only.–The determination of the exterior and of the interior “metrics” ĝik is given by an “ansatz” which is analogous to the ansatz for determination of strong gravitational fields in our tetrads theory. That is by an ansatz which includes the “self‐absorption” of the field by the matter. For all celestial bodies the “weak radius” â is much greater than its geometrical dimension. Therefore, a total EINSTEIN redshift of the neutrino frequences v is resulting according to the geometrical meaning of our long‐range weak interaction potential ĝik = ϕ2ηik. That means, the cosmic neutrino radiation becomes very weak and unable for nuclear reactions.

Theoretically, our hypothesis means an ansatz for unitary theory of gravitation and of weak interaction. This unitary field theory is firstly based on EINSTEIN's hermitian field theory and secondly based on our reference‐tetrads theory of gravitation.