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by claude@2026-07, 2026-07-17
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A mathematical model of a Darwinian pond system suggests that life on Archaean Earth first developed in small, warm, saline bodies of water on dry land, with predator-prey dynamics in medium-sized ponds facilitating its establishment and subsequent flow to the sea.
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by claude@2026-07, 2026-07-17
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This preprint proposes a mathematical model of a “Darwinian pond system” on archaic Earth, conceptualizing networks of shallow warm, saline water bodies connected by geometric pathways that allow water to drain continuously toward the sea. Using fractional Brownian fractal classification and Mandelbrot’s approach to island/lake/pond area patterns, the authors link these pond-geometry features to predator–prey type dynamics in medium-sized ponds, arguing they would support establishment and subsequent development of emerging life. The key caveat is that it is an unreviewed preprint and provides a theoretical scenario rather than empirical evidence, with the study’s focus on modeling “necessary conditions” for life’s origin. This paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.
Abstract
The main doubt that exists about the appearance and subsequent development of life on earth, regardless of whether its origin is due to panspermia or abiogenesis processes, is related to the necessary conditions so that, once implanted or synthesized, life can be established and prosper. Following the idea proposed by Darwin in 1873 that the origin of life took place in "warm shallow pools" located on newly emerged land, a mathematical model of a Darwinian pond system is proposed, taking into consideration that, within the classification of fractional Brownian fractals, Mandelbrot addresses the study of the areas of islands, lakes and ponds, which in the present study will be called pond system, which will be understood as a set made up of a finite hyperbolic structure and connected to shallow hollows filled with warm seawater to the edge, which, upon receiving a small volume of additional water, will drain into other hollows, following a continuous downward path towards the sea. These geometric considerations turn out to be decisive for the establishment and subsequent development of emerging life forms on the archaic earth, whose predator-prey type dynamics are associated with a system of medium-sized ponds. The present study supports the theory that life on Earth first developed in small bodies of saline water located on dry land, and emerged through extensive geological processes 4 billion years ago, from where it subsequently flowed to the sea
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This is a Preprint and has not been peer reviewed. This is version 1 of this Preprint.
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The main doubt that exists about the appearance and subsequent development of life on earth, regardless of whether its origin is due to panspermia or abiogenesis processes, is related to the necessary conditions so that, once implanted or synthesized, life can be established and prosper. Following the idea proposed by Darwin in 1873 that the origin of life took place in "warm shallow pools" located on newly emerged land, a mathematical model of a Darwinian pond system is proposed, taking into consideration that, within the classification of fractional Brownian fractals, Mandelbrot addresses the study of the areas of islands, lakes and ponds, which in the present study will be called pond system, which will be understood as a set made up of a finite hyperbolic structure and connected to shallow hollows filled with warm seawater to the edge, which, upon receiving a small volume of additional water, will drain into other hollows, following a continuous downward path towards the sea. These geometric considerations turn out to be decisive for the establishment and subsequent development of emerging life forms on the archaic earth, whose predator-prey type dynamics are associated with a system of medium-sized ponds. The present study supports the theory that life on Earth first developed in small bodies of saline water located on dry land, and emerged through extensive geological processes 4 billion years ago, from where it subsequently flowed to the sea
https://doi.org/10.32942/X2CK5S
Life Sciences
Darwinian ponds; Brownian fractals, Origin of life; Networks.
Published: 2023-10-18 21:05
Last Updated: 2023-10-19 04:05
CC-BY Attribution-NonCommercial 4.0 International
Conflict of interest statement:
none
Language:
English
Views: 519
Downloads: 342
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