The Structure of Space and Time, and Physical Indeterminacy

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I introduce a sequence which I call indefinite: a sequence every element of which has a successor but whose number of elements is bounded; this is no contradiction. I then consider the possibility of space and time being indefinitely divisible. This is theoretically possible and agrees with experience. If this is space and time’s structure, then even if the laws of nature are deterministic, the behaviour of physical systems will be probabilistic. This approach may also shed light on directionality in time, a source of the Uncertainty Principle, and the reality of chaos.
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Archival date: 2020-05-04
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