Mathematics – Logic
Scientific paper
Apr 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...221..407s&link_type=abstract
Astrophysical Journal, Part 1, vol. 221, Apr. 15, 1978, p. 407-411.
Mathematics
Logic
18
Background Radiation, Cosmology, Dirac Equation, Radiation Distribution, Homogeneity, Isotropic Media, Microwaves, Photons, Universe
Scientific paper
In a cosmology consistent with the cosmological principle (large-scale statistical isotropy and homogeneity of the universe), a Planck spectrum is not preserved as the universe evolves unless the number of photons in a comoving volume is conserved. It is shown that a large class of cosmological models based on Dirac's Large Numbers Hypothesis (LNH) violate this constraint. The observed isotropy and spectral distribution of the microwave background radiation thus provide a crucial test of such cosmologies. After reviewing the LNH, the general evolution of radiation spectra in cosmologies consistent with the cosmological principle is outlined. It is shown that the predicted deviations from a Planck spectrum for Dirac cosmologies (as well as for 'tired-light' cosmologies) are enormous. The Planckian (or near-Planckian) spectral form for the microwave radiation provides a crucial test, failed by such cosmologies.
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