I found a question in Mathematics Stack Exchange which asks a very similar question
It asks whether there are Game of Life models with 3 or more dimensions and if there are Game of Life models related to hypercomputation, but the answers seem to refer to the first question and ignore the second.
So, if I am not wrong, and that is the case, then:
Is there any specific model of Game of Life (Or Cellular Automata in general) that can perform hypercomputation (i.e a Hypercomputational model of Game of Life and/or Cellular Automata)?
And also, Is there any specific model of a hypercomputational Game of Life/Cellular automata that has been applied to physics? That has proposed a cosmological/physical model of the universe based on these Cellular Automata? (Like some sort of Zuse's thesis: https://en.wikipedia.org/wiki/Calculating_Space)