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"In a finite space there must be a finite number of events" seems to have counterexamples: take events which occur on vanishing small space, then you can fit an
by lorepieri 7y ago
"In a finite space there must be a finite number of events" seems to have counterexamples: take events which occur on vanishing small space, then you can fit an infinite number of them in finite space. Think about converging infinite series.
- SAI_Peregrinus 7y agoEven simpler: there are an infinite number of real numbers in the interval between 0 and 1. Indeed, between any two real numbers. If spacetime itself isn't quantized then you get an infinite number of possible events, even within a finite hypervolume of spacetime.
- goldenkey 7y agoI think the author means discrete when they say finite. In that case, they mean Doubly special relativity. https://en.m.wikipedia.org/wiki/Doubly_special_relativity https://en.m.wikipedia.org/wiki/Doubly_special_relativity Doubly special relativity - Wikipedia