Renormalization and computation I: motivation and background

Details Renormalization and computation I: motivation and background Renormalization and computation I: motivation and background

2009-04-30

arxiv.org/abs/0904.4921v2

Mathematics

Quantum Algebra

49 pages, 1 figure In the new version typos are fixed, minor corrections made, dedication added, reference to Part II added

Scientific paper

In this paper I argue that infinities in the classical computation theory
such as the unsolvability of the Halting Problem can be addressed in the same
way as Feynman divergences in Quantum Field Theory, and that meaningful
versions of renormalization in this context can be devised. Connections with
quantum computation are also touched upon.

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