Spooky action at a distance, and the Universe as a cellular automaton
Suppose the author of a simulation wrote some code that would run a cellular automaton. Suppose further that unlike Conway’s Game of Life, cells in this simulation could influence other cells that are not their immediate neighbour. This would be simple enough to code up, and the cellular automaton could still be Turing Complete, and indeed could perhaps be a highly efficient computational substrate for physics.
(Suppose that this automaton, instead of consisting of squares that would turn black or white each round, contained a series of numbers in each cell, which change predictably and in some logically clever way according to the numbers in other cells. One number, for example, could determine how far away the influence of this cell extends. This I think would make the automaton more capable of encoding the logic of things like electromagnetic fields etc.)
A physicist in the simulated Universe might be puzzled by this “spooky action at a distance”, where “cells” which are treated as particles appear to influence one another or be entangled in puzzling ways. Think Bell’s Theorem and that whole discussion.
Perhaps...we might be living in such a Universe, and if we could figure out the right kind of sophisticated cellular automaton, run on a computer if not pen and paper, physics would be making more progress than under the current paradigm of using extremely expensive machines to bash particles together?
Spooky action at a distance, and the Universe as a cellular automaton
Suppose the author of a simulation wrote some code that would run a cellular automaton. Suppose further that unlike Conway’s Game of Life, cells in this simulation could influence other cells that are not their immediate neighbour. This would be simple enough to code up, and the cellular automaton could still be Turing Complete, and indeed could perhaps be a highly efficient computational substrate for physics.
(Suppose that this automaton, instead of consisting of squares that would turn black or white each round, contained a series of numbers in each cell, which change predictably and in some logically clever way according to the numbers in other cells. One number, for example, could determine how far away the influence of this cell extends. This I think would make the automaton more capable of encoding the logic of things like electromagnetic fields etc.)
A physicist in the simulated Universe might be puzzled by this “spooky action at a distance”, where “cells” which are treated as particles appear to influence one another or be entangled in puzzling ways. Think Bell’s Theorem and that whole discussion.
Perhaps...we might be living in such a Universe, and if we could figure out the right kind of sophisticated cellular automaton, run on a computer if not pen and paper, physics would be making more progress than under the current paradigm of using extremely expensive machines to bash particles together?