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Prime-Selective Actualization: Axiom VII of the Universal Model Framework.

2025/12/14 by Gericke, Marco · 1 voice
Physics and Astronomy · #Quantum Mechanics and Applications #Origins and Evolution of Life #Quantum and Classical Electrodynamics

paper · doi:10.5281/zenodo.17928270

openalex publication_date 2025/12/14 · openalex created_date 2025/12/15 · openalex updated_date 2026/07/01

Abstract

We introduce Axiom VII (Prime-Selective Actualization, PSA) as a foundational extension of the Universal Model Framework (UMF). While earlier UMF axioms, in particular the invariant information-rate principle (Axiom VI, PIR-I), constrain the kinematically admissible configuration space of physical systems, PSA addresses the unresolved question of actualization: why only a restricted subset of admissible configurations manifests as persistent physical reality. PSA postulates that physical configurations are those information patterns that remain stable under prime-indexed recursive validation, implemented via renormalization-group–like operators acting across prime scales. Configurations that fail this stability criterion remain mathematically admissible but physically unrealized. This principle provides a unified explanatory mechanism for (i) natural quantization, (ii) effective measurement selection without invoking fundamental collapse postulates, and (iii) emergent irreversibility via directional accumulation of validation. The axiom is formulated in a mathematically explicit and falsifiable manner, with direct empirical constraints derived from anomalous scaling exponents. In particular, PSA predicts universal holographic scaling with anomalous dimension η≈2η ≈ 2η≈2; systematic deviation from this value would falsify the axiom. The framework is deliberately substrate-independent and does not posit consciousness or observers at the axiomatic level, although higher-order self-validation processes may admit cognitive or agent-like interpretations in specific realizations. Axiom VII completes the logical structure of UMF by separating what is allowed (PIR-I) from what becomes physically real, offering a testable selection principle at the foundations of physics. This project was developed by Marco Gericke, with structured assistance from a large language model. All scientific concepts and conclusions were generated, verified, and interpreted by the author. Dedicated to Peter Plichta, who envisioned the code before it could be computed.

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