SOLAR - Mathematical Formalization of the CP364 Framework for Coherent Temporal Structures

SOLARIS Navigator is a CP364 (Trinamica) operational dossier providing a mathematical formalization and public replication protocol for extracting temporal signatures from dynamical residual datasets. This release introduces a structured methodology that converts observational time-series residuals into normalized and comparable CP364 quantities, enabling: cross-target comparison, window-based stability testing, falsification by controlled robustness tests, reproducible publishing workflows. Main contents This dossier includes: Operational definitions of CP364 temporal metrics (Δt, μt, mt, TRIN, etc.) Mathematical formalization of the SOLARIS Navigator pipeline Replication and falsification protocol (shuffle test, downsample stability, control discrimination) Public TRIN encoding and signature compression framework Zenodo-ready publication protocol (folder structure, metadata, CITATION.cff template) Integrity hardening via SHA-256 hashes and deterministic manifests Scientific positioning This work does not aim to replace General Relativity. Instead, it provides a structured and testable framework focused on the operational extraction and validation of residual temporal structures in dynamical datasets. Replication The release adopts a Minimal Replication Pack (MRP) logic with: manifest parameters, diagnostics outputs, summary metrics, SHA-256 integrity anchoring. Public vs protected layer A protected companion dossier exists containing the core Signature Engine layer (full 72-bit mapping tables, calibration thresholds, and protected implementation notes).This restricted layer is maintained under embargo for strategic integrity and may be released earlier under formal scientific collaboration. Technical references (dataset and methodology) • Claudio Pizzuti (CP364), “SOLAR Navigator — Lagrangian Orbital System in Angular (θ) and Radial (r) coordinates”. Zenodo. DOI: 10.5281/zenodo.18422393 (30-01-2026) • Claudio Pizzuti (CP364), “SOLAR External — ATLAS Evidence Dossier (CP364): Wave-Metrics, Prisma/Diamond GridA, and Meta-Certified Signatures”. Zenodo. DOI: 10.5281/zenodo.18444771 (02-02-2026) • Claudio Pizzuti (CP364), “SOLAR External: Apophis (99942) — Coherence Signature on SOLAR Baseline (CP364)”. Zenodo. DOI: 10.5281/zenodo.18448549 (04-02-2026) • Claudio Pizzuti (CP364), “SOLAR External: 2I/Borisov — Coherence Signature on SOLAR Baseline (CP364)”. Zenodo. DOI: 10.5281/zenodo.18458621 (06-02-2026) • Claudio Pizzuti (CP364), “SOLAR External: 1I/ʻOumuamua — Coherence Signature on SOLAR Baseline (CP364)”. Zenodo. DOI: 10.5281/zenodo. 18480713 (09-02-2026) Previous work (CP364 interpretive context) • Claudio Pizzuti (CP364), “Gravity as an elastic vortical wave: Observations and Trinamica analysis”. Zenodo. DOI: 10.5281/zenodo.17039525 (04-09-2025) Synthesis document (global SOLAR framework) • Claudio Pizzuti (CP364), “SOLAR MANIFESTO — The dynamic reality of the Solar System in (r, θ): beyond orbits, towards the global structure”. Zenodo. DOI: 10.5281/zenodo.18427665 (30-01-2026)