Abstract
A unique extension of Tolman’s radiation cosmos with positive curvature is given based on its projective structure. The completed compactified manifold is a projective space P 4. The cosmologic singularity is a S 3 bounding the non-orientable space-time, which is a four-dimensional Möbius bubble enclosed in a solid ball of four-dimensional time. Complex extension of the manifold leads to a Mähler metric on CP 4, which is invariant under U4.
In view of the objections raised by some reviewers concerning the use of the word “creation”, it should be explained that the author understands this term, not in the sense of “making something out of nothing”, but rather as “making something shapely out of shapelessness”, as, for example, in the phrase “the latest creation of Parisian fashion”.
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Schucking, E.L., Lauro, S., Wang, JZ. (1991). Pre-Post-History of Tolman’s Cosmos. In: Zichichi, A., de Sabbata, V., Sánchez, N. (eds) Gravitation and Modern Cosmology. Ettore Majorana International Science Series, vol 56. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0620-5_18
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