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.