Possible alternative, but what would be a factor of locality in such an universe? And how would the universe store the infinite "light matter" in it's "memory",

Possible alternative, but what would be a factor of locality in such an universe? And how would the universe store the infinite "light matter" in it's "memory", since light particle beam being instant means that it has no limits to where it can reach, and will grow depending on distance traveled (which is infinite)? Some processes that are outside of scope we can sense seems like a too cheap explanation.