Mathematics – Logic
Scientific paper
Jun 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997ncima.110..611s&link_type=abstract
Nuovo Cimento A, Vol. 110A, No. 6, p. 611 - 613
Mathematics
Logic
2
Cosmic Rays: Anisotropy
Scientific paper
This paper points to the qualitative agreement between recent observations of anisotropy in electromagnetic radiation propagation over cosmological distances and the general predictions of the characteristics of the geodesic in general relativity theory, when it is expressed in its most general (irreducible) form. The latter is based on the irreducible representations of the "Einstein group" - a 16-parameter Lie group signifying only continuous, analytic transformations that underlie the general covariance of the laws of nature. The fundamental metrical field - the 16-component quaternion qμ(x) - is obtained from a factorization of the differential Riemannian invariant ds2. This results in a factorization of the 10-component symmetric tensor formalism of Einstein's equations to a 16-component quaternion formalism. The new formalism predicts a geodesic that entails rotational as well as translational motion, for matter as well as radiation.
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