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Proceedings Paper

Bayesian big bang
Author(s): Fred Daum; Jim Huang
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Paper Abstract

We show that the flow of particles corresponding to Bayes' rule has a number of striking similarities with the big bang, including cosmic inflation and cosmic acceleration. We derive a PDE for this flow using a log-homotopy from the prior probability density to the posteriori probability density. We solve this PDE using the gradient of the solution to Poisson's equation, which is computed using an exact Green's function and the standard Monte Carlo approximation of integrals. The resulting flow is analogous to Coulomb's law in electromagnetics. We have used no physics per se to derive this flow, but rather we have only used Bayes' rule and the definition of normalized probability and a loghomotopy parameter that could be interpreted as time. The details of this big bang resemble very recent theories much more closely than the so-called new inflation models, which postulate enormous inflation immediately after the big bang.

Paper Details

Date Published: 16 September 2011
PDF: 20 pages
Proc. SPIE 8137, Signal and Data Processing of Small Targets 2011, 81370P (16 September 2011); doi: 10.1117/12.894898
Show Author Affiliations
Fred Daum, Raytheon Co. (United States)
Jim Huang, Raytheon Co. (United States)

Published in SPIE Proceedings Vol. 8137:
Signal and Data Processing of Small Targets 2011
Oliver E. Drummond, Editor(s)

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