Randomness And Undecidability In Physics

作者: Karl Svozil

DOI:

关键词: Halting problemAlgorithmic probabilityDiscrete mathematicsQuantum chaosRandomnessGödel's incompleteness theoremsComputational irreducibilityAlgorithmicsMathematicsAlgebraEntropy (information theory)

摘要: Part 1 Algorithmic physics: algorithmics automata coding and representation automator worlds algorithmic information other resources measures. 2 Undecidability: true does not equal provable Cantor's diagonaliation method halting problem Godel's incompleteness theorem > intrinsic indeterminism weak physical chaos. 3 Randomness: conceptual developments "Lawlessness" = "Algorithmic Incompressibility" "Computational Irreducibility" von Mises collectives statistical based randomness equivalences chaotic systems are optimal analogues of themselves quantum chaos probability theory entropy origins increase zeno squeezing definition via equidecomposibility attractors metaphysics.

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