An irreversible thermodynamic model of prebiological dissipative molecular structures inside vacuoles at the surface of the Archean Ocean

Abstract

A prebiotic model, based in the framework of thermodynamic efficiency loss from small dissipative eukaryote organisms is developed to describe the maximum possible concentration of solar power to be dissipated on topological circular molecules structures encapsulated in lipid-walled vacuoles, which floated in the Archean oceans. By considering previously, the analysis of 71 species examined by covering 18 orders of mass magnitude from the Megapteranovaeangliae to Saccharomyces cerevisiae suggest that in molecular structures of smaller masses than any living being known nowadays, the power dissipation must be directly proportional to the power of the photons of solar origin that impinge them to give rise to the formation of more complex self-assembled molecular structures at the prebiotic stage by a quantum mechanics model of resonant photon wavelength excitation. The analysis of 12 circular molecules (encapsulated in lipid-walled vacuoles) relevant to the evolution of life on planet Earth such as the five nucleobases, and some aromatic molecules as pyrimidine, porphyrin, chlorin, coumarin, xanthine, etc., were carried out. Considering one vacuole of each type of molecule per square meter of the ocean's surface of planet Earth ($1.8\ast {10}^{15}$ vacuoles), their dissipative operation would require only ${10}^{-10}$ times the matter used by the biomass currently existing on Earth. Relevant numbers $\left({10}^{20}{-10}^{21}\right)$ for the annual dissipative cycles corresponding to high energy photo chemical events, which in principle allow the assembling of more complex polymers, were obtained. The previous figures are compatible with some results obtained by followers of the primordial soup theory where under certain suppositions about the Archean chemical kinetical changes on the precursors of RNA and DNA try to justify the formation rate of RNA and DNA components and the emergence of life within a 10-million-year window, 3.5 billion years ago. The physical foundation perspective and the simplicity of the proposed approach suggests that it can serve as a possible template for both, the development of new kind of experiments, and for prebiotic theories that address self-organization occurring inside such vacuoles. Our model provides a new way to conceptualize the self-production of simple cyclic dissipative molecular structures in the Archean period of planet Earth.

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