Journal of Theoretical Physics & Mathematics Research
ISSN: 3065-8802 | DOI: 10.64030/3065-8802
Richard H Zander
Lineages are conceived as corridors through time of two-sigma exclusion of uncertainty by Bayesian analysis of numbers of morphological traits and species. Methods of structural monophyly constructed evolutionary dendrograms of a family and of a tribe of bryophytes. Shannon informational bits known for speciation events in these groups allow projections of changes into the past. Sampling and relationships in the present imply kinds and rates of origination and extinction of species. Vopson’s estimates of the mass of one informational bit is used to calculate total mass of information of two bryophyte lineages from total bits associated with speciation over time. Mass-energy equivalence calculations estimated energy needed for archiving information associated with maintenance of structural and thermodynamic integrity over millions of years. Three levels of observational sampling yield similar information for the two lineages. The Rule of Four is a thermodynamically enforced efficiency limit expending the least free energy to keep error correction active and is a hyper efficient compression processor. Pareto Fractal Dimension allows lineages to maintain a maximum of adaptive variation with minimal energetic overhead. The energetic cost of ongoing structural stability of Streptotrichaceae over 100 million years is about 11.7 megajoules, for Pleuroweisieae about 10.7 megajoules. The entire Biosphere of an estimated one million lineages at 25 species per lineage is stabilized over that time at a cost of about 1.1 × 1007 megajoules. The mass-energy equivalence principle may be interpreted as a bound on the structural work done by the Biosphere.