Observational Methods, Constraints and Candidates

Mathematics – Logic

Scientific paper

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Scientific paper

Methods of constraining or detecting candidates for the global topology of the Universe share the same common principle: an object or a region of space should be observed several times at, in general, different angular positions and redshifts. In practice, whether using the cosmic microwave background (CMB) or collapsed astrophysical objects, the practical details of how an object or a region of space emits electromagnetic radiation (degree of local isotropy, evolution) imply that different strategies have to be adopted, depending on the "standard candles" used. Contrary to popular opinion, it should be noted that the claimed CMB ``constraints'' against small flat multiply connected models are weak: these are statements about the rarity of simulated perturbation statistical properties required to match COBE data, rather than about the consistency of the data with multiple topological imaging on the surface of last scattering.

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