SETI, evolution and human history merged into a mathematical model
Claudio Maccone

TL;DR
This paper introduces a unified mathematical framework merging Darwinian evolution, human history, and SETI, using stochastic processes and information theory to analyze biological, historical, and extraterrestrial development.
Contribution
It develops a novel mathematical model combining stochastic evolution, historical progress, and SETI estimates, providing new insights into civilization development and extraterrestrial detection.
Findings
Exponential growth of evolution modeled by Geometric Brownian Motion.
Entropy as an indicator of civilization development level.
Estimated potential advancement of extraterrestrial civilizations.
Abstract
In this paper we propose a new mathematical model capable of merging Darwinian Evolution, Human History and SETI into a single mathematical scheme: 1) Darwinian Evolution over the last 3.5 billion years is defined as one particular realization of a certain stochastic process called Geometric Brownian Motion (GBM). This GBM yields the fluctuations in time of the number of species living on Earth. Its mean value curve is an increasing exponential curve, i.e. the exponential growth of Evolution. 2) In 2008 this author provided the statistical generalization of the Drake equation yielding the number N of communicating ET civilizations in the Galaxy. N was shown to follow the lognormal probability distribution. 3) We call "b-lognormals" those lognormals starting at any positive time b ("birth") larger than zero. Then the exponential growth curve becomes the geometric locus of the peaks of a…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsSpace Science and Extraterrestrial Life · Earth Systems and Cosmic Evolution
