Isn't this kind of old news (
www.bbc.co.uk...)? The
CCC hypothesis was
originally published way back in November of 2010. And even that's derivative of Penrose's earlier 2005 work on the
Weyl Curvature Hypothesis (WCH).
The idea certainly has its critics, but I think Penrose is onto something.
The fact that the universe is very small and hot at the beginning, and very large and cold in the far future isn't a problem in Penrose's model
because both the early universe and far future universe contain only conformally invariant, massless particles. Without massive particles, there is no
way of defining lengths or times, hence the only physically meaningful structure is the conformal or causal structure.
By compressing the conformal factor towards the far future, and expanding it towards the beginning, the geometry of the future conformal boundary can
be joined seamlessly to the initial conformal boundary. In other words, the conformal factor omega must tend to zero as time t tends to infinity, to
compress the infinite future into a finite conformal time, and omega must tend to infinity as t tends to omega, to stretch the metric as it tends
towards the Big-Bang. The conformal metric then matches on the two boundary components, and the components can be identified. The Weyl curvature is
zero on both the future boundary and past boundary, hence the Big Bang is still well-defined in the cyclic model as the unique hypersurface on which
the Weyl curvature vanishes.
So, to simplify, this then means at some distant point in the future all matter radiates away and therefore since there's no more clock to measure
things against time goes to infinity and disappears.
What I find interesting, that I haven't heard anyone talk about yet, is that there's been similar work done by other physicists like
Bousso, Freivogel, Leichenauer,
and Rosenhaus on eternal inflation to regulate infinities by imposing geometric cutoffs. In their
2010
paper they show some matter systems reach the cutoff in finite time. According to the abstract, "This implies a nonzero probability for a novel
type of catastrophe. According to the most successful measure proposals our galaxy is likely to encounter the cutoff within the next 5 billion years."
I think Penrose's WCH (as the nascent how) and
SH (as the why) are
basically the reason for the cutoff.
edit on 12-6-2012 by Xtraeme because: (no reason given)