TEMPORAL DILATION, GEOMETRIC MEMORY, AND INFORMATIONAL SUBSTANCE: a critical–propositional analysis of Rhythm's cosmological texts in confrontation with the Theory of Objectivity, its modal axioms, phenomenic elements, Inducer Effects, cosmological E

This article presents a critical–propositional analysis of Rhythm’s cosmological corpus, especially the proposals concerning Curvature–Temporal–Expansion (CTE) coupling, gravitational time dilation as a source of cosmic acceleration, dual-timeline wave cosmology, the universe as a wave, Multi-Seed Big Bangs, Permanent Curvature Imprints (PCIs), dark energy as curvature attraction, and cyclic cosmological re-seeding through spacetime stress or fracture. The analysis confronts Rhythm’s geometric-informational cosmology with the Theory of Objectivity (TO), particularly its modal axioms, phenomenic elements, Inducer Effects, cosmological Eras, and the TO definition of the transcendent element as knowledge or information produced in atomic relations and equivalent to atomic radiations. The article identifies significant points of compatibility, especially regarding cosmic memory, relational structure, persistent curvature, boundary formation, local-to-global induction, and operational testability. It also highlights points of tension, including the need for modal deduction, the risk of treating spacetime as an absolute substance, the distinction between interpretive equivalence and new physics, and the empirical challenges involved in replacing dark energy or explaining new Big Bang events through geometric memory. The article concludes that Rhythm’s corpus offers a strong dialogue with the Theory of Objectivity, receiving a score of 8.2/10 on the proposed scale of dialogue with TO. The text includes an appendix in TO style, proposing that Permanent Curvature Imprints may be interpreted as phenomenic-radiant memory: geometric records of the transcendent information produced in atomic relations. This analytical text received analytical support from ChatGPT. Keywords Theory of Objectivity; Vidamor Cabannas; Rhythm; Curvature–Temporal–Expansion coupling; CTE; gravitational time dilation; cosmic acceleration; Permanent Curvature Imprints; PCI; Multi-Seed Big Bangs; geometric memory; informational transcendence; Inducer Effects; modal ontology; phenomenic elements; cosmological Eras; dark energy; backreaction; spacetime fracture; universe-wave; dual-timeline cosmology; atomic radiation; cosmic memory.