Abstract

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+1spacetime and associated coherent states. Physical symmetry attaches to eight-parameter complex Poincaré displacements, interpretable as growth of standpoint age, boost of matter energy-momentum in standpoint rest frame and displacement of matter location in a compact U⊗O/O spacetime attached to standpoint. An “initial” condition 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