I don't think Chaitin is committed to either a (Turing) computational or hypercomputational universe.
Quoting Chaitin from a live panel discussion on digital physics:
Look, I’d like to be aggressive about this — the best way for
me to think about something is to make claims that are much too strong
(at least it brings out the idea). So the universe ...
The special theory of relativity may provide a way for measurements to be different from the perspective of four dimentsions rather than from three dimensions. Here is Wikipedia's description of relativity:
Special relativity is based on two postulates which are contradictory in classical mechanics:
The laws of physics are the same for all ...
Wheeler categorised his working life into three periods: "Everything is Particles", "Everything is Fields", and "Everything is Information". (from his autobiography 'Geons, Black Holes and Quantum Foam')
"It from bit symbolises the idea that every item of the physical world has at bottom — at a very deep bottom, in most instances — an immaterial source ...