Comment by vjktyu

There is a simpler explanation. Assuming our world is discrete, like a mathematical graph, every world state has one or a few next possible states. If we imagine all possible states from past and future linked together by causality links as a huge mathematical graph, any two states have a shortest path between them. The length of this path is what we perceive as time or as the speed of light. Same idea applies to chess: there is large, but finite, number of chess board states and they are linked by moves allowed by the chess rules; the number of moves on the shortest path connecting two positions is what we'd call the speed of light in chess.