On discrete geometrodynamical theories in physics

Thesis/Dissertation · Fri Jan 01 04:00:00 EST 1988

OSTI ID:5175572

Towe, J P

In this dissertation the author considers two topological-geometrical models (based upon a single suggestive formalism) in which a geometrodynamics is both feasible and pedagogically advantageous. Specifically he considers the topology which is constituted by the real domains of the two broad classes of rotation groups: those characterized by the commutator and anti-commutator algebras. He then adopts a Riemannian geometric structure and shows that the monistically geometric interpretation of this formalism restricts displacements on the proposed manifold to integral multiples of universal constant. Secondly, he demonstrates that in the context under consideration, this constraint affects a very interesting ontological reduction: the unification of quantum mechanics with a discrete, multidimensional extension of general relativity. A particularly interesting features of this unification is that is includes and requires the choice of an SL (2,R) {direct product} SU (3)-symmetric realization of the proposed, generic formalism which is a lattice of spins {h bar} and {h bar}/2. If the vertices of this lattice are associated with the fundamental particles, then the resulting theory predicts and precludes the same interactions as the standard supersymmetry theory. In addition to the ontological reduction which is provided, and the restriction to supersymmetry, the proposed theory may also represent a scientifically useful extension of conventional theory in that it suggests a means of understanding the apparently large energy productions of the quasars and relates Planck's constant to the size of the universe.

• Research Organization: Arizona Univ., Tucson, AZ (USA)
• OSTI ID: 5175572
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
COSMIC RADIO SOURCES
ELEMENTARY PARTICLES
FIELD THEORIES
GENERAL RELATIVITY THEORY
GEOMETRY
HIGH ENERGY PHYSICS
LATTICE FIELD THEORY
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
PHYSICS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUASARS
RIEMANN SPACE
SPACE
SPACE-TIME
SUPERSYMMETRY
SYMMETRY
TOPOLOGY
UNIFIED-FIELD THEORIES
UNIVERSE