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Next: Randomness and conservation laws Up:
Overview Previous: The shock of Gödel's
Contents
The assumption that everything is finite has implications for physics. In Chapters 7 and 8 we explore the possibility that discrete as opposed to continuous models might be needed to explain physical reality as Einstein came to suspect near the end of his life[41]. Chapter 7 gives a brief overview of the two theories, relativity and quantum mechanics, that a discrete model must account for.
Chapter 8 discusses the problems of combining relativity and quantum mechanics. General relativity and quantum mechanics are incompatible when one attempts to combine them at small distances. This is a powerful suggestion that space and time are grainy or digital and that a radically different class of models is called for when we approach the scale of digital space-time.
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