Gregory Chaitin is a mathematician who thinks that the universe is itself a computer, or similar...
He has written papers closely related to the field of hypercomputation (For example, he invented the "Chaitin Constant" which is related to hypercomputers and the Halting Problem: https://en.wikipedia.org/wiki/Chaitin%27s_constant).
He has also written a book where, at some point, analyzes hypercomputation and hypercomputers (https://books.google.es/books?id=EEXRBQAAQBAJ&pg=PA116&lpg=PA116&dq=%22gregory+chaitin%22+%22hypercomputer%22&source=bl&ots=axkLAE8kGq&sig=ACfU3U2POCgo4uVT-SKFeF0PT3jShv67Vg&hl=es&sa=X&ved=2ahUKEwilk-if2ujiAhWQGBQKHWMTC2AQ6AEwAHoECAkQAQ#v=onepage&q=%22gregory%20chaitin%22%20%22hypercomputer%22&f=false)
Or in this paper (https://arxiv.org/pdf/math/0404335.pdf) it is again implied that Chaitin is a proponent of hypercomputation
According to Gregory Chaitin vision, they reveal the open logic of mathematics if regarded from a more general viewpoint, the super-Turing possibilities of oracles emerge from a vision which links physics, geometry and information.
Or, in this article: https://www-2.dc.uba.ar/staff/becher/notes/ns.html, it is indicated that Chaitin could even believe that oracles are not only mathematical artifacts but also physically real
I was pretty sure then that Chaitin was a proponent of a model of a hypercomputational universe
But then I found this page (http://www.philosophytogo.org/wordpress/?p=1876) written by Chaitin himself, which says:
(Talking about his propositions)
This would imply that the Universe is computable.?
Right. If information is finite and discrete, then these models of the world as a computation work better, because computers are discrete and they work better with finite numbers of bits. Not with real numbers or field theory. In classical physics and field theory, quantum field theory, an arbitrary small piece of space-time contains an infinite amount of information. And, as Feynman says in his little book The character of the physical law, that’s a little implausible.
That is apparently absolutely contradictory with his works about hypercomputation...
So, could you clarify this? Does he propose a completely computational or a hypercomputational universe? And if he proposes a 100% computational universe, then, what about all these studies about hypercomputation? WHy did he study concepts related to this?
And, also, does Chaitin bases his arguments in some kind of hypothesis/model/theory in physics? I was thinking that he based his ideas in Kolmogorov's complexity or Algorithmic Information Theory, but these concepts are purely mathematical ones and are not models of physics/cosmology... So, do you know of any theory/model in physics that would be compatible with Chaitin's views?