a question on alternative to inflation as discussed in astro-ph/0308325

On pg 18 (2nd para) of the preprint mentioned above, Turner and
Freedman remark: "apparently a special beginning is required. There
are two ways to read this: The first is that the state of the universe
accurately pins down the initial conditions, a point of view advocated
by few and they cite a reference to a paper by Penrose in 1979.

Anyhow can someone explain to me more about Penrose point of view as
an alternative to inflation? also is his idea relevant today or was
ruled out many years ago? Thanks Melroy