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It is impossible for a simulated universe to be infinite.
There are simple mathematical universes that are infinite, e.g. the set of all natural numbers. These can be simulated using computer if they can nonetheless be described in finite way.
Software design or analysis modelling can be used to model infinite structures. Any finite approximation of such structures can be computed during execution of the program.
A computer can never implement an infinite computation.
Mathematical models are not actual representations of physical phenomena.