DARK MATTER, PRIMES, AND QUANTUM INFORMATIONAL HOLOGRAPHY: a critical–propositional analysis of Jason D. Padgett's hypothesis in confrontation with the Theory of Objectivity

This article presents a critical–propositional analysis of Jason D. Padgett’s Dark Matter, Primes, and Quantum Information Holography (QIH): A Symmetric Collapse and Prime Resilience Hypothesis, published on Zenodo under DOI https://doi.org/10.5281/zenodo.8410689. The analysis examines Padgett’s speculative connection between prime number distributions, quantum decoherence, holographic information, and dark matter in confrontation with the Theory of Objectivity (TO). It evaluates possible compatibilities and tensions between Padgett’s hypothesis and the modal axioms of TO, especially regarding distinction, boundary, phenomenic elements, Inductive Effects, the cosmogenic theorem, and the cosmological Eras of the Theory of Objectivity. The article argues that Padgett’s hypothesis should not be read as a direct explanation of dark matter, but as a heuristic model of informational asymmetry and resilience. In TO terms, prime numbers may function as formal models of asymmetric distinction, while dark matter may be interpreted as a domain of indirect objectivity, where information produced in atomic relations—equivalent to atomic radiations in the Theory of Objectivity—manifests through gravitational and structural effects rather than direct luminosity. This analytical text received analytical support from ChatGPT. Keywords: Theory of Objectivity; Vidamor Cabannas; D. Padgett; dark matter; prime numbers; Quantum Information Holography; QIH; quantum decoherence; informational asymmetry; modal ontology; phenomenic elements; Inductive Effects; cosmogenic theorem; cosmological Eras; indirect objectivity; atomic information; atomic radiation; critical–propositional analysis.