ratiocinator
Lightly seared on the reality grill.
You just asked for a source because you didnt know about it...
I asked for a source because what you actually said was nonsensical (centre and edge of the universe) and ambiguous (radius). If you can't actually reference anything to define the terms as you are using them, then you're just talking gibberish.
Earlier you were wondering about the Turing test...
So here's a reference to the Turing test: Turing test - Wikipedia - now you can explain what you think having a natural language chat with a machine has to do with cosmology.
You made a claim about WCH as conflicting contradicting Penrose himself. It is obvious you didnt understand any of this.
Simply false, it's in chapter 2.6 of Cycles of Time exactly as I said.
Where does he say WCH is the answer or antithesis to his own calculations.
The "answer or antithesis to his own calculations" doesn't even make any sense.
He points out the "very special nature" of the big bang -- the 10^10^124 volume of phase space --, i.e. its low entropy. Then he characterizes it (as in the quote) as having vanishing Weyl curvature. Hence there is a simple condition that would give us said low entropy.
It's in the wiki article too: Weyl curvature hypothesis - Wikipedia
The Weyl curvature hypothesis, which arises in the application of Albert Einstein's general theory of relativity to physical cosmology, was introduced by the British mathematician and theoretical physicist Sir Roger Penrose in an article in 1979 in an attempt to provide explanations for two of the most fundamental issues in physics. On the one hand one would like to account for a universe which on its largest observational scales appears remarkably spatially homogeneous and isotropic in its physical properties (and so can be described by a simple Friedmann–Lemaître model), on the other hand there is the deep question on the origin of the second law of thermodynamics.
Penrose suggests that the resolution of both of these problems is rooted in a concept of the entropy content of gravitational fields. Near the initial cosmological singularity (the Big Bang), he proposes, the entropy content of the cosmological gravitational field was extremely low (compared to what it theoretically could have been), and started rising monotonically thereafter. This process manifested itself e.g. in the formation of structure through the clumping of matter to form galaxies and clusters of galaxies. Penrose associates the initial low entropy content of the universe with the effective vanishing of the Weyl curvature tensor of the cosmological gravitational field near the Big Bang.
[my emphasis]
So the 1/10^10^124 (volume in phase space or entropy) is down to the Weyl curvature vanishing.Penrose suggests that the resolution of both of these problems is rooted in a concept of the entropy content of gravitational fields. Near the initial cosmological singularity (the Big Bang), he proposes, the entropy content of the cosmological gravitational field was extremely low (compared to what it theoretically could have been), and started rising monotonically thereafter. This process manifested itself e.g. in the formation of structure through the clumping of matter to form galaxies and clusters of galaxies. Penrose associates the initial low entropy content of the universe with the effective vanishing of the Weyl curvature tensor of the cosmological gravitational field near the Big Bang.
[my emphasis]
Now it could be that you misunderstood what I said, so I've provided you with both a book reference (that you claimed familiarity with) and a wiki article to clarify what I meant and provide an independent basis for it.
This is a complicated subject and your post showed apparent misunderstanding, so all you have to do is reference something that explains what you mean by the centre, edge, and radius of the universe - at least that's the starting point. Then we can get one with the rest of it.