This dossier presents the first extended formalization of the Trinamica CP364 theoretical framework, progressively developed from empirical evidence emerging from the structural analysis of complex dynamical systems. The work introduces the concept of the Transition Regime (RT) as an observable dynamical structure capable of structurally connecting: temporal variation dynamical state phase evolution system geometry The entire formalism originates from an empirical proposition directly derived from data and subsequently transformed into a coherent multilayer mathematical framework. The dossier progressively develops: Chapter 01 — Emergent Trinamica Proposition Chapter 02 — Mathematical Formalization of the Trinamica Framework Chapter 04 — Formalization of the Transition Regime (RT) Chapter 05 — Trinamica Extension of the Metric and Dynamic Theorem of the Transition Regime Chapter 06 — Theorem 3 - Equations of Motion with RT Chapter 07 — Trinamica Lagrangian Formulation (CP364) Chapter 08 — Theorem 4 - Generalized Conservation in the Trinamica Formalism CP364 Chapter 09 — Trinamica Field Equations CP364 Chapter 10 — Simple Solution of the RT Field in the Static Spherical Case Chapter 11 — Schwarzschild–CP364 Metric Chapter 12 — RT Field Solution with Active Trinamica Source (§ active) Chapter 13 — Schwarzschild–CP364 Metric with Active § Chapter 14 — CP364 Redshift Formula Chapter 15 — Horizon Condition in the CP364 Formalism Chapter 16 — CP364 Scalar Curvature Chapter 17 — CP364 Ricci Tensor Chapter 18 — CP364 Action and Variational Principle Within the proposed formalism: time is no longer treated as a purely passive coordinate; geometry is not determined exclusively by mass; the Transition Regime acts as a dynamical field capable of locally modulating space-time structure. The CP364 framework is not presented as a replacement for General Relativity, but as a possible dynamical extension capable of describing structured configurations emerging from observational data. The dossier intentionally maintains a strict separation between: empirical evidence mathematical formalization physical interpretation theoretical extension in order to preserve: falsifiability methodological transparency independent verifiability The proposed framework therefore represents: a candidate empirical law a coherent mathematical formalism an extensible dynamical framework a theoretical basis for future prospective verification and observational comparison This release includes complete computational pipeline executable Python scripts metadata reproducibility manifests SHA256 integrity chains lightweight CSV outputs MEMTRIN state archives launch and execution sequences plots and dossier-ready visualizations The release also includes AI-oriented semantic resources designed for long-term machine readability and semantic preservation, including: canonical CP364 definitions semantic versioning AI-readable framework context claim boundary specifications evolutionary publication mapping metadata standardization for retrieval and indexing systems The complete package is designed to ensure: reproducibility semantic consistency computational traceability AI interoperability long-term archival integrity
Pizzuti et al. (Fri,) studied this question.