The composition of the most remote objects brought into view by the Hubble
telescope can no longer be reconciled with the nucleogenesis of standard
cosmology and the alternative explanation, in terms of the Λ-Cold-Dark-
Matter model, has no recognizable chemical basis. A more rational scheme, based
on the chemistry and periodicity of atomic matter, opens up an exciting new
interpretation of the cosmos in terms of projective geometry and general
relativity. The response of atomic structure to environmental pressure predicts
non-Doppler cosmical redshifts and equilibrium nucleogenesis by a-particle
addition, in accord with observed periodic variation of nuclear abundance.
Inferred cosmic self similarity elucidates the Bode -Titius law, general
commensurability in the solar system and the occurrence of quantum phenomena on
a cosmic scale. The generalized periodic function involves both matter and
anti-matter in an involuted mapping to a closed projective plane. This topology
ensures the same symmetrical balance in a chiral universe, wrapped around an
achiral vacuum interface, without singularities. A new cosmology emerges, based
on the theory of projective relativity, presented here as a translation of
Veblen´s original German text. Not only does it provide a unification of
gravity, electromagnetism and quantum theory, through gauge invariance, but
also supports the solution of the gravitational field equations, obtained by
Gödel for a rotating universe. The appearance of an Einstein-Rosen bridge as
outlet from a black hole, into conjugate anti-space, accounts for globular
clusters, quasars, cosmic radiation, γ-ray bursters, pulsars, radio
sources and other regions of plasma activity. The effects of a multiply-
connected space-time manifold on observations in an Euclidean tangent space
are unpredictable and a complete re-assessment of the size and structure of the
universe is indicated. The target readership includes scientists, as well as
non-scientists - everybody with a scientific or philosophical interest in
cosmology and, especially those cosmologists and mathematicians with the
ability to recast the crude ideas presented here into appropriate mathematical
models. TOC:1. Introductory Synopsis.- 2. History.- 3. World Geometry.- 4.
Physical Evidence.- 5. Chemical Evidence.- 6. Standard Cosmology.- 7.
Relativistic Cosmology.- 8. Reasoned Alternatives.- 9. The Big Picture.-
Appendix: A. Projective Relativity Theory.- B. The Gauge Principle.- C. Chapter
Abstracts.
