Foundations of Science 15 (2):199-211 (2010)

Gödel’s incompleteness applies to any system with recursively enumerable axioms and rules of inference. Chaitin’s approach to Gödel’s incompleteness relates the incompleteness to the amount of information contained in the axioms. Zurek’s quantum Darwinism attempts the physical description of the universe using information as one of its major components. The capacity of quantum Darwinism to describe quantum measurement in great detail without requiring ad-hoc non-unitary evolution makes it a good candidate for describing the transition from quantum to classical. A baby-universe diffusion model of cosmic inflation is analyzed using quantum Darwinism. In this model cosmic inflation can be approximated as Brownian motion of a quantum field, and quantum Darwinism implies that molecular interaction during Brownian motion will make the quantum field decohere. The quantum Darwinism approach to decoherence in the baby-universe cosmic-inflation model yields the decoherence times of the baby-universes. The result is the equation relating the baby-universe’s decoherence time with the Hubble parameter, and that the decoherence time is considerably shorter than the cosmic inflation period
Keywords Quantum Darwinism  Cosmic inflation  Gödel’s incompleteness  Brownian motion
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DOI 10.1007/s10699-010-9174-y
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Quantum Gravity.Carlo Rovelli - 2007 - Cambridge University Press.
The Silence of God: The Answer of the Buddha.Raimundo Panikkar & Robert R. Barr - 1991 - Philosophy East and West 41 (4):557-570.

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