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 α--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
relativ-ity, 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 Godel 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 re-gions of plasma activity.
The effects of a multiply-connected space-time manifold on
observa-tions 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.
General
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