M. Sachs, ON THE SOURCE OF ANISOTROPY IN COSMIC-RADIATION FROM GENERAL-RELATIVITY, Nuovo cimento della Società Italiana di Fisica. A. Nuclei, particles and fields, 110(6), 1997, pp. 611-613
This paper points to the qualitative agreement between recent observat
ions of anisotropy in electromagnetic radiation propagation over cosmo
logical distances and the general predictions of the characteristics o
f the geodesic in general relativity theory, when it is expressed in i
ts most general (irreducible) form. The latter is based on the irreduc
ible representations of the ''Einstein group'' - a 16-parameter Lie gr
oup signifying only continuous, analytic transformations that underlie
the general covariance of the laws of nature. The fundamental metrica
l field - the 16-component quaternion q(mu)(x) - is obtained from a fa
ctorization of the differential Riemannian invariant ds(2). This resul
ts in a factorization of the 10-component symmetric tensor formalism o
f Einstein's equations to a 16-component quaternion formalism. The new
formalism predicts a geodesic that entails rotational as well as tran
slational motion, for matter as well as radiation.