Improving the Single Scalar Consistency Relation

We propose a test of single-scalar inflation based on using the well-measured scalar power spectrum to reconstruct the tensor power spectrum, up to a single integration constant. Our test is a sort of integrated version of the single-scalar consistency relation. This sort of test can be used effectively, even when the tensor power spectrum is measured too poorly to resolve the tensor spectral index. We give an example using simulated data based on a hypothetical detection with tensor-to-scalar ratio $r = 0.01$. Our test can also be employed for correlating scalar and tensor features in the far future when the data is good.Comment: 16 pages, 1 figure, uses LaTeX2e version 2 extensively revised for publicatio

Craig Goch Report No. 13 Invertebrate studies: Ystwyth and Rheidol

The Rivers Ystwyth and Rheidol have a history of metal pollution (Carpenter, 1924, 1925; Newton, 1944) and many reaches still receive substantial contamination from heavy metals, principally zinc and lead, although there has been considerable improvement in water quality and biological status in recent years, particularly in the r. Rheidol (Jones and Howells 1975). As a consequence of proposals to divert uncontaminated water from the headstreams of both rivers in order to provide a refill source for the enlarged Craig Goch reservoir, a surveillance programme was instituted to provide base-line data for water quality, fisheries and invertebrates. U.W.I.S.T. has implemented a programme designed to provide information on the variety, distribution and relative abundance of aquatic invertebrates: the study of other aspects has been undertaken by South West Wales River Division (1976)