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In this paper we give a brief review of the pseudo-Riemannian geometry of thefive-dimensional homogeneous space for the conformal group O(4,2). Its topologyis described and its relation to the conformally compactified Minkowski spaceis described. Its metric is calculated using a generalized half-spacerepresentation. Compactification via Lie-sphere geometry is outlined. Possibleapplications to Jaime Keller's START theory may follow by using its predecessor- the 5-optics of Yu. B. Rumer. The point of view of Rumer is given extensivelyin the last section of the paper.  Keywords. Kaluza,Klein, Rumer, conformal symmetry, hyperbolic space, START,fifth dimension, action coordinate, 5-optics

START in a five-dimensional conformal domain