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Inflationary cosmology predicts that the particle horizon should begenerically much bigger than the present-day Hubble radius, $1/H_0$. Thisimplies a special regime of super-Hubble scale energy density fluctuationsimprinted on the cosmic microwave background radiation (CMBR), which frompresent theory could only be explained by inflation Causality constraints areused to determine models for the power spectrum that accommodate a suppressionscale. A three parameter likelihood analysis is performed of the COBE-DMR4-year data with respect to the amplitude, spectral index, and suppressionscale. It is found that all suppression length scales larger than $1/H_0$ areconsistent with the data, but that scales of order $1/H_0$ are slightlypreferred, at roughly the one-sigma level. Many non-inflation models would beconsistent with a small suppression length scale, whereas for standardinflation models, the duration of the inflation epoch would have to be boundedby a fairly small upper limit. Suppression scales smaller than $1/H_0$ arestrongly excluded by the anisotrophy data.Comment: 9 pages, Latex, 1 figure, additional tests reporte

Attempt to determine the largest scale of primordial density perturbations in the universe