Mathematics – Logic
Scientific paper
Apr 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003aps..apr.u6009c&link_type=abstract
American Physical Society, April Meeting, 2003, April 5-8, 2003 Philadelphia, Pennsylvania, MEETING ID: APR03, abstract #U6.009
Mathematics
Logic
Scientific paper
Two fundamental unresolved issues in gravitational physics are the origin of the cosmological constant (dark energy), whose existence is suggested by the observed acceleration of the universe, and the origin of the particle masses, which we now know includes the neutrinos. Since all matter particles are represented by spinor fields, it seems natural to inquire whether the gravitational interaction of the spinor fields can illuminate these issues. Therefore we consider the possibility that the spin curvature is fundamental, and show that by relaxing the Schrödinger condition (covariant constancy of the Dirac matrices) it is possible to obtain both spacetime curvature and torsion as parts of the spin curvature. We assume a scale invariant Lagrangian composed of the standard Yang-Mills Lagrangian for the spin curvature and the massless Dirac Lagrangian for the spinors. An exact vacuum cosmological solution to the associated field equations is found which exhibits exponential acceleration of the universe and gives a minimum mass for all spinors.
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