I have a hobby of trying to “invent universes” to use as toy models for various things. Sort of like Conway’s Game of Life, except Game of Life lacks a bunch of properties that seem fairly core to characterizing the dynamics of our universe (Poincare invariance and therefore also continuity, Louville’s theorem, conservation of energy and momentum etc.). (It does have some important characteristics that match our universe, e.g. fixed speed of causality (light).) Such universes generally have to be deterministic or stochastic, because making them quantum would be computationally infeasible. However, the properties seem very difficult to satisfy in interesting ways for deterministic or stochastic universes.
I have a hobby of trying to “invent universes” to use as toy models for various things. Sort of like Conway’s Game of Life, except Game of Life lacks a bunch of properties that seem fairly core to characterizing the dynamics of our universe (Poincare invariance and therefore also continuity, Louville’s theorem, conservation of energy and momentum etc.). (It does have some important characteristics that match our universe, e.g. fixed speed of causality (light).) Such universes generally have to be deterministic or stochastic, because making them quantum would be computationally infeasible. However, the properties seem very difficult to satisfy in interesting ways for deterministic or stochastic universes.