The Mathematics of Evolution: The Price Equation, Natural Selection, and Environmental Change

Tom LaGatta

Published 2022-02-21Version 1

We extend George Price's evolutionary framework to the measure-theoretic and quantum cases, showing that all processes decompose into selective and environmental components. We further quantify selection and environmental change using entropy functionals: selective entropy is non-positive, representing biological negentropy, and environmental entropy is non-negative, representing physical entropy. We prove four Laws of Natural Selection, showing that selection consistently acts in a manner to increase selection, but which can be disrupted by environmental change.