Effect upon universal order of Hubble expansion
Autor: | B. R. Frieden, Ángel Luis Plastino, Ángel Ricardo Plastino |
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Rok vydání: | 2012 |
Předmět: |
Statistics and Probability
Physics Quantum decoherence Ciencias Físicas media_common.quotation_subject HUBBLE EXPANSION Invariant (physics) Condensed Matter Physics Universe COARSE GRAINING Astronomía symbols.namesake Probability amplitude Hubble volume Quantum mechanics FISHER INFORMATION symbols ORDER AND COMPLEXITY Granularity Fisher information Contraction (operator theory) CIENCIAS NATURALES Y EXACTAS Mathematical physics media_common |
Zdroj: | Physica A: Statistical Mechanics and its Applications. 391:410-413 |
ISSN: | 0378-4371 |
DOI: | 10.1016/j.physa.2011.08.005 |
Popis: | The level of order R in a spherical system of radius r0 with a probability amplitude function ψ(x),x=r,θ,φ obeys R=(12)r02I, where I=4∫dx|∇ψ|2 is its Fisher information level. We show that a flat space universe obeying the RobertsonWalker metric has an invariant value of the order as it undergoes either uniform Hubble expansion or contraction. This means that Hubble expansion per se does not cause a loss of universal order as time progresses. Instead, coarse graining processes characterizing decoherence and friction might cause a loss of order. Alternatively, looking backward in time, i.e. under Hubble contraction, as the big bang is approached and the Hubble radius r0 approaches small values, the structure in the amplitude function ψ(x) becomes ever more densely packed, increasing all local slopes ∇ψ and causing the Fisher information I to approach unboundedly large values. As a speculation, this ever-well locates the initial position of the universe in a larger, multiverse. © 2011 Elsevier B.V. All rights reserved. Fil: Frieden, B. R.. University of Arizona; Estados Unidos Fil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina Fil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Centro Regional de Estudios Genómicos; Argentina. Universidad de Granada; España |
Databáze: | OpenAIRE |
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