Abstract This Primer examines Skilling's nested sampling algorithm for Bayesian inference
and, more broadly, multidimensional integration. The principles of nested sampling are …

We investigate the primordial power spectra for general kinetic inflation models that support
a period of kinetic dominance in the case of curved universes. We present derivations of the …

This work compares cosmological matching conditions used in approximating generic pre-
inflationary phases of the Universe. We show that the joining conditions for primordial scalar …

Early during the era of cosmic inflation, rotational invariance may have been broken, only
later emerging as a feature of low-energy physics. This motivates ongoing searches for …

The problem of finding a vacuum definition for a single quantum field in curved spacetimes
is discussed under a new geometrical perspective. The phase space dynamics of the …

The emergent universe scenario was proposed to solve the big bang singularity by
suggesting that the universe originates from an Einstein static state and then evolves into a …

We explore the linearly quantized primordial power spectra associated with palindromic
universes. Extending the results of Lasenby et al.[Phys. Rev. D 105, 083514 (2022) …