Sep 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995foph...25.1283c&link_type=abstract
Foundations of Physics, Volume 25, Issue 9, pp.1283-1333
Physics
Scientific paper
An unorthodox cosmology is based on a notion of “standpoint,” distinguishing past from future, realized through Hilbert-space representation of the complex conformai group for 3+1 spacetime and associated coherent states. Physical (approximate) symmetry attaches to eight-parameter complex Poincaré displacements, interpretable as growth of standpoint age (one parameter), boost of matter energy-momentum in standpoint rest frame (three parameters) and displacement of matter location in a compact U(1)⊗O(4)/O(3) spacetime attached to standpoint (four parameters). An “initial” condition (at “big bang”) is characterized by a huge dimensionless parameter α that breaks dilation invariance. Four major length scales are recognized, called “Planck,” “particle,” “lab,” and “Hubble,” with separations controlled by α; all physical concepts, including spacetime, depend on wideness of scale separation.
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