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Updated: Feb 17, 2026

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
Published on: September 23, 2025
Relativity for the realm of the living: A proposal for an extended general theory
1Servicio Académico Universitario y Centro de Estudios Paleontológicos (SAUCE-P), Universidad de la República, Santa Isabel s/n, 91500, Sauce, Canelones, Uruguay; Facultad de Ciencias, Universidad de la República, Iguá 4225, 11400, Montevideo, Uruguay.
Abstract:
Biological systems are reinterpreted through a geometric lens that extends the insight of general relativity: organisms and their interactions deform a multidimensional biological hyperspace. Each entity acts as a source that bends a relational field defined by molecular, morphofunctional and ecological axes, altering others' trajectories via attractive (trophic, mutualistic) or repulsive (competitive, avoidance) effects. The framework is explicitly multiscale, accommodating hierarchical organisation from genes to ecosystems and the whole of the biosphere, with a data-fixed ecological metric g estimated from observations (e.g. Mahalanobis/Fisher-Rao) and updated through time. A minimal programme is outlined linking curvature, interaction tensors and geodesic motion, and provide falsifiable predictions: curvature-dependent convergence/divergence of trajectories, finite-speed propagation of ecological influence with a system-dependent bound ceco, and local reduction to classical models. Field equations follow from a variational principle in which the geometric-matter coupling is carried by a scalar field φ, so κ = κ(φ), yielding covariant conservation of the total ecological-geometric current (Noether/Bianchi). The aim is methodological: to offer a coherent language that unifies ecology, evolution and complexity science and to invite collaboration on a dynamic geometry of life, with implications for interpreting large-scale history and for practical ecosystem management.
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