Stochastic quantization of fields inspired by biological evolution

Details Stochastic quantization of fields inspired by biological evolution Stochastic quantization of fields inspired by biological evolution

2010-12-14

arxiv.org/abs/1012.3172v1

Physics

Condensed Matter

Statistical Mechanics

(6 pages, 3 figures)

Scientific paper

The quasi-species equation describes the evolution of the probability that a random individual in a population carries a given genome. Here we map the quasi-species equation for individuals of a self-reproducing population to an ensemble of "scalar field elementary units" undergoing a creation and annihilation process. We show that the quasi-species equation if applied to an ensemble of "field units" gives rise to a new type of stochastic quantization. Interestingly in the case of a quadratic energy potential the system has an apparently relativistic type of energy dispersion which emerges naturally from the quasi-species equation.

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