Is there any model of Game of Life compatible with hypercomputation? I found a question in Mathematics Stack Exchange which asks a very similar question 

(https://math.stackexchange.com/questions/1023812/hypercomputation-higher-dimensional-variants-of-conways-game-of-life)

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)
Cellular automata can be simulated with an ordinary Turing machine, so they don't have any more power than an ordinary Turing machine -- they can't perform "hypercomputation".