OsherD wrote:

snip
As far as I know, no other theory besides Probable Influence (PI) has
any explanation for the life acceleration "coincidence".

The coincidence may be an example of a Copernicun indication, that
because we are viewing phenomena whose explanation is special to us (in
this case, special to our era in the universe's lifetime) the
explanation is most likely very wrong.

This paper makes that argument:

http://arxiv.org/ftp/astro-ph/papers/0404/0404207.pdf

The idea is the lack of light curve evidence falsifies the idea of
acceleration in the first place.

Since this paper came out, I hadn't heard much about it nor any
refutations.

I cross posted to sci.astro, maybe someone there knows the current
status of Jensen's claims.