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

Life (Basel)

International Academy of Astronautics (IAA) and IAA SETI Permanent Committee; IAA, 6 Rue Galilée, 75016 Paris, France.

Published: April 2017

The discovery of new exoplanets makes us wonder each new exoplanet 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) . We call -lognormal a lognormal pdf starting at instant (birth). Then, the lifetime of any living being becomes a suitable -lognormal . Next, our : each species created by evolution is a -lognormal whose peak lies on the number of living species. This exponential is the 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 -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.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5492140PMC
http://dx.doi.org/10.3390/life7020018DOI Listing

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