Emergent Phase Structure in Deep GNSS Residuals: Analysis of Front-Tail Dynamics and Helical Coherence within the Trinamass v3 Observational Framework

Emergent Phase Structure in Deep GNSS Residuals: Analysis of Front-Tail Dynamics and Helical Coherence in the Trinamass v3 Observational Framework Multi-station study on public IGS data — 4 global stations, April–May 2026 Description This dossier documents the results of the Trinamass v3 (TMv3) observational pipeline, applied to the deep residual analysis of public GNSS data (IGS/MGEX) across four global stations: ABPO00MDG (Madagascar), BRUX00BEL (Belgium), MATE00ITA (Italy), and WTZR00DEU (Germany), over the time window 30 April – 14 May 2026. The dataset comprises 15 days of continuous observation, 50 RINEX files, and approximately 120. 6 million observational slots. The primary result is the unsought emergence of a coherent phase structure in deep GNSS residuals, documented across five independent observational layers: residual field anisotropy (0. 209) ; phase coherence of the dominant track ABPO00MDG/C (0. 995, oscillation confined within 0. 6° over 15 days) ; local elastic front-tail signature (score 0. 861) ; persistent structural anomaly of QZSS (mean robustᵦ 24. 6) ; and a regime transition localised on 7 May, concordant between VIEWB (azimuth 125°) and VIEWC (azimuth 220°) and independently confirmed by the front-tail lag sequence. Unlike Vortexₛcan — a parallel study seeking the same geometry in an astronomical signal — the TMv3 structure passes realistic null models on a cross-station, cross-split, and projection-independence basis, proving more robust than the astronomical reference signal. Why This Work Is Methodologically Relevant 1. Structure that emerged, not by design The TMv3 pipeline was not designed to detect coherent phase structure. Its modules — parsing, residual analysis, 2D/3D/4D visualisation, helical coherence, front-tail lag, observational bridge — were developed progressively with initially separate objectives. The structural convergence emerged as an unplanned outcome, substantially reducing the risk of confirmation bias, intentional fitting, and retrospective signal construction. 2. Originality of the spherical representation in the compositional simplex The use of a dynamic radar/sphere representation on a compositional simplicial basis (CoDa/Aitchison), applied to multi-system GNSS observables, does not appear in the standard GNSS literature. The classical 72-bit method initially adopted did not clearly reveal the signal. The radar/sphere representation made a coherent structure legible, which was subsequently confirmed through a reworked 72-bit framework. The sequence ambiguity → change of representation → emergence of structure → retrospective confirmation constitutes the central methodological contribution of the framework. 3. Prospective independence test passed The regime transition observed on 7 May was detected independently by VIEWB and VIEWC, separated by approximately 95° of azimuthal difference, and confirmed by distinct pipeline modules (TMv3₁6g and TMv3₂0f). The convergence of geometrically independent views and independent modules on the same temporal position substantially reduces the risk of perspective artefacts and dependencies on a single geometric projection. 4. Citizen science on public data, with a traceable and replicable pipeline The entire study was conducted on domestic hardware, using public GNSS data freely downloadable from the IGS service. The pipeline is fully traced module by module with global SHA256 hashes, making every step verifiable and replicable by anyone with access to the same source data. 5. Explicit epistemic separation The dossier maintains a rigorous distinction between observation, statistical structure, geometric representation, and physical claims. The declared results concern exclusively residual structure, anisotropy, phase coherence, front-tail dynamics, and geometric persistence. No claims are made regarding new physics, temporal forces, or physically validated dynamic structures. Qualitative compatibility with open helical continuity structures is indicated solely as a direction for future research. Falsifiability is explicitly declared: the structure is considered invalidated should it fail to persist on independent datasets (TMv4, in preparation). Release Contents This release includes the complete TMv3 lineage (modules 15f → 22f/22g), a frozen release with offline package, observational viewers, archival metadata, SHA256 hashes, and complete pipeline documentation. The dossier consists of 17 sections, 6 mathematical and observational appendices, and Appendix G with over 65 original figures, including animated 4D sequences (multi-view GIFs, 15 frames each) and analytical charts produced by 15 independent pipeline modules. Source data: • 4 IGS stations: ABPO00MDG, BRUX00BEL, MATE00ITA, WTZR00DEU • 50 RINEX files — window 30 April – 14 May 2026 • Precise clock products (IGS/MGEX/JPL/GFZ) and ERP parameters (IERS) • 120. 6 million observational slots — mean valid ratio 80. 8% • Global SHA256: fc123a1fdf952df5f14707e529d006836930992c240935d42318e5e087cdba1a