Mathematics – Logic
Scientific paper
Nov 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phdt........13c&link_type=abstract
Ph.D. Thesis South Carolina Univ., Columbia.
Mathematics
Logic
Cosmology, Galactic Evolution, Gravitational Fields, Quantum Theory, Space-Time Functions, Universe, Commutators, Curvature, Equations Of Motion, Gravitation, Plancks Constant, Scalars, Time Dependence
Scientific paper
It is argued that the standard commutator relations for a quantum field in a classical background gravitational field are incomplete and that a nonlocal curvature dependent factor should be inserted. This is logically equivalent to making Planck's constant a function of curvature. Consideration of a scalar field propagating in a closed, radiation dominated Robertson-Walker spacetime reveals that the cosmological constant becomes a function of time, providing a vast amount of inflation no matter what the mass of the field or the effective potential. Furthermore, it is seen that this inflation arises solely out of the availability of equations of motion for the scalar field. The field modes are initially zero for all k and come into being as the universe evolves. In this sense, the universe creates its contents out of its own expansion.
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