Mathematics – Logic
Scientific paper
May 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977phrvd..15.2795t&link_type=abstract
Physical Review D - Particles and Fields, 3rd Series, vol. 15, May 15, 1977, p. 2795-2801.
Mathematics
Logic
56
Astronomical Models, Einstein Equations, Gravitational Constant, Space-Time Functions, Cosmology, Elementary Particle Interactions, Gravitational Fields, Gravitational Waves, Quantum Theory, Universe
Scientific paper
A means is suggested for incorporating the Planck length as a fundamental constant determined by the structure of spacetime. In this scheme the spacetime symmetry group is taken as the de Sitter group with radius of curvature proportional to the Planck length, but it is argued that the effects of this curvature are not apparent at elementary-particle length scales. To make the connection with gravity, a formulation of the gravitational interaction as the gauge theory of the de Sitter group is presented. An action is obtained which contains the Einstein-Cartan action, but in which the dimensional gravitational constant G appears naturally as the consequence of the commutation relation of the de Sitter group. A cosmological term is also found along with higher-derivative couplings of the gravitational field and a propagating torsion field, which is discussed.
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