Recent developments concerning generic spacelike singularities

Perfect fluids and generic spacelike singularities

We present the conformally 1+3 Hubble-normalized field equations together with the general total source equations, and then specialize to a source that consists of perfect fluids with general barotropic equations of state. Motivating, formulating, and assuming certain conjectures, we derive results about how the properties of fluids (equations of state, momenta, angular momenta) and generic spa...

Recent Developments concerning Entropy and Approximation Numbers

Spacelike Singularities and String Theory

An interpretation of spacelike singularities in string theory uses target space duality to relate the collapsing Schwarzschild geometry near the singularity to an inflationary cosmology in dual variables. An appealing picture thus results whereby gravitational collapse seeds the formation of a new universe. PACS numbers: 04.70.-s, 11.25.-w String theory is strongly believed to solve the short-d...

Dimensional Mutation and Spacelike Singularities

I argue that string theory compactified on a Riemann surface crosses over at small volume to a higher dimensional background of supercritical string theory. Several concrete measures of the count of degrees of freedom of the theory yield the consistent result that at finite volume, the effective dimensionality is increased by an amount of order 2h/V for a surface of genus h and volume V in stri...

Phytoestrogens: recent developments

Phytoestrogens are polyphenolic non-steroidal plant compounds with estrogen like activity exerted through estrogen receptors. These receptors are distributed in several tissues such as male and female reproductive systems, bones, cardiovascular and central nervous systems. These natural phenolic compounds include isoflavonoids, flavonoids, lignans and stilbenes. Isoflavonoids are the most studi...