Life evolution statistics (Evo-SETI) collected in a new book

TL;DR

This paper introduces the Evo-SETI Theory, a comprehensive mathematical framework for understanding extraterrestrial civilizations' evolution, distribution, and development, extending the Drake Equation and applying advanced statistical models to astrobiology and civilization growth.

Contribution

It presents the Evo-SETI Theory with new mathematical models, including the statistical Drake Equation, GBM-based evolution, and the EVO-SETI SCALE for assessing exoplanetary civilizations.

Findings

Probabilistic distributions of ET civilizations in the galaxy.

Mathematical description of civilization development using b-lognormals.

Introduction of the EVO-SETI SCALE for evaluating exoplanetary life stages.

Abstract

In the past ten years this author published some 15 highly mathematical papers about his new Evo-SETI (Evolution and SETI) Theory. He proved that key features of Evo-SETI are: 1) The Statistical Drake Equation is the extension of the classical Drake equation into Statistics. Probability distributions of the number of ET civilizations in the Galaxy are given, and so is the probable distribution of the distance of ETs from us. 2) Darwinian Evolution is re-defined as a Geometric Brownian Motion (GBM) in the number of living species on Earth over the last 3.5 billion years. Its mean value grows exponentially in time and Mass Extinctions of the past are accounted for as unpredictable low GBM values. 3) The exponential growth of the number of species during Evolution is the geometric locus of the peaks of a one-parameter family of lognormal distributions constrained between the time axis and the exponential mean value. This accounts for cladistics. 4) The lifespan of a living being, let it be a cell, an animal, a human, a historic human society, or even an ET society, is mathematically described as a finite b-lognormal. This author then described mathematically the historical development of eight human historic civilizations, from Ancient Greece to the USA, by virtue of b-lognormals. 5) The b-lognormal's entropy is the measure of a civilization's advancement level. By measuring the entropy difference between Aztecs and Spaniards in 1519, this author was able to account mathematically for the 20-million-Aztecs defeat by a few thousand Spaniards, due to the latter's technological superiority. Now: whenever a new exoplanet is discovered, where does that exoplanet stand in its evolution towards life as we have it on Earth nowadays, or beyond? In this paper we provide mathematical criteria to answer this question within the framework of the Evo-SETI Theory, thus creating the EVO-SETI SCALE.