On the development of superconducting tunnel junctions as photon counting spectrometers for application in astrophysics

Inflation predicts a Gaussian random field of density fluctuations, but this is not unique to inflation because of the central limit theorem.

“Inflation predicts a Gaussian random field of density fluctuations, but thanks to the central limit theorem this isn't particularly unique (Peacock 1999, p. 342, 503).”

I4 is non-trivial: the inflaton potential must have a region where the slow-roll approximation does not hold; if the inflaton rolls into a local minimum while the SRA still holds, inflation never ends.

“I4 is non-trivial.The inflaton potential (or, more specifically, the region of the inflaton potential which actually determines the evolution of the field) must have a region in which the slow-roll approximation does not hold.If the inflaton rolls into a local minimum (at f 0 ) while the SRA still holds (which requires V(f 0 ) c m Pl 2 / 8p d 2 V/df 2 9 f 0 Peacock 1999, p. 332), then inflation”

Requirement I3 comes rather naturally to inflation: Peacock (1999) shows that requiring inflation to produce a large number of e-folds is essentially the same as requiring inflation to happen, namely f_start much greater than m_Pl.

“Requirement I3 comes rather naturally to inflation: Peacock (1999, p. 337) shows that the requirement that inflation produce a large number of e-folds is essentially the same as the requirement that inflation happen in the first place (i.e.SRA), namely f start c m Pl .”