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We had a discussion of Penrose's conformal cyclic cosmology last month: https://www.physicsforums.com/showthread.php?t=427567 His popular-level book Cycles of Time was published first in the UK, but is now available in the US. I got a copy and have read it, so I can report on a few of the additional things I've learned. I'm going to give a talk next week for students on this and Smolin's cosmological natural selection.
He has some arguments that the recycling of one aeon into the next is a classical process rather than a quantum-mechanical one. p. 204: "The point of view of CCC is to agree that when radii of curvature approach the Planck scale, the madness of quantum gravity (whatever it is) must indeed begin to take over, but the curvature in question must be Weyl curvature ... Accordingly, the radii of curvature involved in the Einstein tensor...can become as small as they like, and the space-time geometry will still remain essentially classical and smooth so long as the Weyl curvature radii are large on the Planck scale..."
He is no longer talking about light charged particles, which seemed obviously ill-conceived to me. He hypothesizes that rest mass falls off over very large time scales. He has an argument that this is OK, because although elementary particles are normally taken to be irreducible represenatations of the Poincare group, if the cosmological constant is nonzero, the relevant symmetry group might not be the Poincare group but the symmetry group of de Sitter spacetime, and m is not a Casimir operator of that group. This is not as obviously impossible as light charged particles, but it disappoints me because it means he's back-pedaling from maknig definite testable predictions about particle physics. The time-scale of the mass reduction is not specified -- and where the heck does such a time-scale come from?
He describes attempts to test CCC by looking for large-scale circular patterns in the CMB, which would have arisen from gravitational waves from supermassive black hole collisions in the previous aeon. A grad student at Princeton named Amir Hajian looked for such correlations in the data. Penrose seems to think there are positive hints, but it's not so clear whether Hajian and his advisor felt sure enough to publish the result.
-Ben
The book has a lengthy discussion of loss of degrees of freedom on pp. 186-190. He believes that information *is* lost in black holes, and unitarity is violated. This is linked to his views on quantum mechanics: "The replacement of [itex]\psi[/itex] with the particular choice [itex]\psi_i[/itex] that Nature comes up with is referred to as the reduction of the quantum state or the collapse of the wavefunction, for which I use the letter R...it is my contention that the R phenomenon represents a deviation from the strict adherence of Nature to unitarity, and that this arises when gravity begins to become seriously (even if subtly) involved." He gives some references, the most recent of which is R. Penrose (2009), "Black holes, quantum theory, and cosmology" (Fourth International Workshop DICE 2008), J Physics Conf ser 174 012001. I find it truly, deeply annoying that Penrose only publishes these ideas in conference proceedings and doesn't put anything on arxiv.marcus said:Crowell, you remember the Carlip paper summarizing how several approaches to QG converge on the idea of "spontaneous dimensional reduction" with decreasing scale.
My take on this is that it is possible that degrees of freedom are killed off or numbed by crunching the scale.
I think the key point in Penrose' paper is where he makes an unjustified assumption that DoF survive unaffected by shrinking to Planck scale. His argument for a "Basic Conundrum" (motivating his cosmology idea) fails, unless this unjustified assumption is granted
He has some arguments that the recycling of one aeon into the next is a classical process rather than a quantum-mechanical one. p. 204: "The point of view of CCC is to agree that when radii of curvature approach the Planck scale, the madness of quantum gravity (whatever it is) must indeed begin to take over, but the curvature in question must be Weyl curvature ... Accordingly, the radii of curvature involved in the Einstein tensor...can become as small as they like, and the space-time geometry will still remain essentially classical and smooth so long as the Weyl curvature radii are large on the Planck scale..."
He is no longer talking about light charged particles, which seemed obviously ill-conceived to me. He hypothesizes that rest mass falls off over very large time scales. He has an argument that this is OK, because although elementary particles are normally taken to be irreducible represenatations of the Poincare group, if the cosmological constant is nonzero, the relevant symmetry group might not be the Poincare group but the symmetry group of de Sitter spacetime, and m is not a Casimir operator of that group. This is not as obviously impossible as light charged particles, but it disappoints me because it means he's back-pedaling from maknig definite testable predictions about particle physics. The time-scale of the mass reduction is not specified -- and where the heck does such a time-scale come from?
He describes attempts to test CCC by looking for large-scale circular patterns in the CMB, which would have arisen from gravitational waves from supermassive black hole collisions in the previous aeon. A grad student at Princeton named Amir Hajian looked for such correlations in the data. Penrose seems to think there are positive hints, but it's not so clear whether Hajian and his advisor felt sure enough to publish the result.
-Ben