Trinamica CP364 - From Data to Temporal Dynamics as an Active Structure: Mathematical Formalism and Emergent Dynamics in Orbital Data for Prediction

Predict V3₈7Full — MDT Structural Dossier (v5) Trinamica CP364 · Framework applied to 87 Solar System objects Description This deposit documents the most complete and systematic application of the Trinamica CP364 framework to high-resolution orbital datasets derived from NASA JPL Horizons. The guiding question is precise: must the dynamics of physical systems be imposed by a model, or are they already contained within the data? The answer emerging from this work is measurable, persistent, and — for the first time within this framework — operationally falsifiable. Scale of the Work 87 Solar System objects analyzed — asteroids, comets, planets, TNOs, interstellar objects Up to 15 years of orbital data per object — minute-level resolution — NASA JPL Horizons Up to 8. 4 million rows processed per object — Full05ₜrinamica MDT10–MDT30 sequential computational modules — PredictV3₈7Full pipeline 1, 650, 331 predictive windows generated (MDT31) — 120-day horizon 150, 626 historical events extracted (MDT31) — Deviation Index clusters 9/9 structural invariance steps verified — v5 vs v5b, Jaccard = 1. 0 across all Operational Principle The framework transforms classical orbital data into a trinamical space in which time is no longer a passive parameter but an active physical quantity — capable of deformation, memory accumulation, and participation in system dynamics. The fundamental transformation is: Xₜr (t) = FCP364 (D (t) ) = f (Δt (t), Ea (t), μt (t), kt (t), § (t) ) where temporal variation (Δt), energetic intensity (Ea), temporal memory (μt), dynamic coherence (kt), and transition parameter (§) become operative observables. This representation enables access to structures that remain latent within Newtonian and relativistic formulations. Emergent Results — What the Model Found The most significant outcome is not a number, but a fact: a pipeline built without explicit physical knowledge of the objects spontaneously recovered distinctions long known in classical orbital physics. Spontaneous separation of orbital regimesSaturn and Uranus separated from inner planets without this distinction being encoded in the pipeline Structural confirmation of STABILIZER classPeriodic comets occupied exactly the theoretically predicted region, with coherence 0. 92–0. 93 and near-zero energy flow Venus and retrograde rotationVenus remained aligned with inner planets despite retrograde rotation — the model distinguished rotational from orbital dynamics without prior encoding Statistical separation Z ≈ 341σSeparation between dynamic classes is incompatible with any random process Falsifiable predictions for 8 objects5 objects show INWARD transitions (confidence 0. 70–0. 74), 3 show OUTWARD migration with comparable certainty Borisov as boundary caseInterstellar object Borisov shows coherencecore = 0. 952 and outward trajectory across two field levels — the most discriminative single prediction Operational predictive windowWithin transition regime λ ∈ 0. 02, 0. 12, 87% of objects show confirmed predictions; outside the window, performance drops to 35% and then 7% Robustness and Structural Invariance This dossier includes one of the most rigorous robustness validations conducted on the framework. v5 vs v5b comparison (9 steps) Jaccard = 1. 0, allclose = 1. 0, SHA256 identical on 8/9 steps → output independent of implementation Three MDT28 variants (different dynamicfloor) Identical class distributions → output independent of critical free parameter ±10% uniform perturbation on inputsZero classification changes → invariance to systematic shifts Random noise injectionMeasurable degradation from 1–2% → sensitivity to data quality, not implementation A system measuring relative structure must be invariant to uniform shifts and sensitive to differential degradation. These tests confirm it quantitatively. Operational Falsifiability Predictions are not retrospective interpretations. They are falsifiable statements in the Popperian sense: P: = (O, S₀, S₁, C, F) where: O = object S₀ = initial state S₁ = predicted state C = confidence F = falsification condition Verification requires re-running the pipeline on updated datasets with predefined temporal extension ΔT. The dossier includes λcrit values, expected temporal windows, and explicit criteria for confirmation and falsification. Deposit Content This release includes processed outputs only. Computational code is maintained separately. MDT10–MDT30 outputs: CSV, Parquet, reports per module MDT31: 150, 626 historical events + 1, 650, 331 predictive windows Appendix D: structural invariance tests (4 levels, 60 noise runs, 5220 comparisons) Formalized falsifiable predictions for 12 objects/groups v5 vs v5b comparison reports (Jaccard, allclose, SHA256) Full traceability: SHA256 per file, structured manifests, execution logs, MEMTRIN sequences Scientific Positioning Trinamica CP364 does not replace Newtonian mechanics or general relativity. It operates at a different level: it transforms data representation, not governing laws. The result is a complementary, data-driven analytical layer that reveals latent information already present in observational datasets. The value of this dossier lies not in the theory, but in the evidence: a pipeline built without knowledge of Saturn, Chiron, or Borisov recovered their physical distinctions from the temporal structure of the data. This does not prove that Trinamica is correct. It demonstrates that the question is well-posed — and that, for the first time, it admits a verifiable answer. Closing Statement "The structure is in the data, not in the method. "