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Evo-SETI: A Mathematical Tool for Cladistics, Evolution, and SETI

International Academy of Astronautics (IAA) and IAA SETI Permanent Committee; IAA, 6 Rue Galilée, 75016 Paris, France
Istituto Nazionale di Astrofisica (INAF), Via Martorelli 43, 10155 Torino (TO), Italy
Academic Editor: Sohan Jheeta
Received: 21 January 2017 / Revised: 9 March 2017 / Accepted: 21 March 2017 / Published: 6 April 2017
(This article belongs to the Special Issue The Landscape of the Emergence of Life)
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The discovery of new exoplanets makes us wonder where each new exoplanet stands along its way to develop life as we know it on Earth. Our Evo-SETI Theory is a mathematical way to face this problem. We describe cladistics and evolution by virtue of a few statistical equations based on lognormal probability density functions (pdf) in the time. We call b-lognormal a lognormal pdf starting at instant b (birth). Then, the lifetime of any living being becomes a suitable b-lognormal in the time. Next, our “Peak-Locus Theorem” translates cladistics: each species created by evolution is a b-lognormal whose peak lies on the exponentially growing number of living species. This exponential is the mean value of a stochastic process called “Geometric Brownian Motion” (GBM). Past mass extinctions were all-lows of this GBM. In addition, the Shannon Entropy (with a reversed sign) of each b-lognormal is the measure of how evolved that species is, and we call it EvoEntropy. The “molecular clock” is re-interpreted as the EvoEntropy straight line in the time whenever the mean value is exactly the GBM exponential. We were also able to extend the Peak-Locus Theorem to any mean value other than the exponential. For example, we derive in this paper for the first time the EvoEntropy corresponding to the Markov-Korotayev (2007) “cubic” evolution: a curve of logarithmic increase. View Full-Text
Keywords: cladistics; Darwinian evolution; molecular clock; entropy; SETI cladistics; Darwinian evolution; molecular clock; entropy; SETI

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Maccone, C. Evo-SETI: A Mathematical Tool for Cladistics, Evolution, and SETI. Life 2017, 7, 18.

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