THE DYNAMIC ANISOTROPY OF STAR CLUSTERS: relaxation, inverse energy equipartition, and inductive effects in confrontation with the Theory of Objectivity

This article presents a critical–propositional analysis of Václav Pavlík, Douglas C. Heggie, Anna Lisa Varri, and Enrico Vesperini’s work Relaxation and Evolution towards Inverse Energy Equipartition in Star Clusters (Zenodo, 2024), in confrontation with the Theory of Objectivity (TO). The analysis examines how the astrophysical study of star clusters, velocity anisotropy, relaxation processes, mass segregation, core collapse, and inverse energy equipartition may be interpreted through the modal, phenomenic, and relational categories of the Theory of Objectivity. The article argues that initial anisotropy can be read, within TO, as a kinematic Inductive Effect that conditions the later evolution of the stellar system, preserves dynamical memory, and produces measurable physical information. The study articulates Pavlík et al.’s astrophysical model with the foundational bibliography of TO, its recent modal and testability-oriented developments, and a broader supporting bibliography in physics, cosmology, philosophy of science, and theories of emergent order. Special attention is given to the TO concepts of phenomenic elements, Inductive Effects, the cosmogonic theorem, cosmological Eras, boundaries, relational objectivity, and the transcendent element understood as knowledge or information produced in atomic relations and equivalent to atomic radiations. The article concludes that Pavlík et al.’s work does not constitute a cosmogony or an ontology of the universe, but offers a highly relevant astrophysical laboratory for dialogue with the Theory of Objectivity, especially regarding the emergence of order, dynamical memory, boundary effects, and the production of objective information in complex stellar systems. This analytical text received analytical support from ChatGPT. Keywords: Theory of Objectivity; Vidamor Cabannas; Václav Pavlík; star clusters; stellar dynamics; anisotropy; inverse energy equipartition; mass segregation; core collapse; N-body simulations; Inductive Effects; phenomenic elements; modal ontology; dynamical memory; relational objectivity; astrophysics; cosmology; objective information; atomic radiation.