Nicolas Lori, Researcher, University of Coimbra, Coimbra, Portugal
Alex Blin, Professor, Universidade de Coimbra, Coimbra, Portugal
Lori, Nicolas, and Alex Blin. 2009. Application of Quantum Darwinism to Cosmic Inflation. Foundations of Science, no. Special Issue of the Conference on the Evolution and Development of the Universe (EDU-2008). In press. http://evodevouniverse.com/EDU2008Papers/LoriBlinQuantumDarwinismCosmicInflationGodelEDU2008.pdf.
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 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.