Date: 2026-02 Location: Same directory as video-related copy and reports (for citation). Purpose: To clarify objectively any earlier wording that could be read as “full dynamical evolution already implemented giving H, w,” and to state current progress. Academic integrity only; no overclaim or concealment.
1. Earlier Wording vs Actual Implementation (Objective)
1.1 Wording that appeared or could be read that way
In some materials related to the cosmic evolution video, wording appeared or could be understood as:
- English: “QNM is the only realized framework that … provides complete H(z), w(z) and multi-parameter evolution.”
- Chinese: “QNM is the only framework that, under a single set of first principles, completely evolves from quantum origin to heat death and gives H(z), w(z) and full multi-parameter evolution as an implemented framework.”
- Completeness comparison reports: Under a “quantifiable output” criterion, that the full timeline has H(z), w(z) and 18 cosmological parameters as theoretical curves/numerical output.
If understood as “dynamics itself already gives the full H(z), w(z) curve at every redshift,” that would be inconsistent with the actual implementation of the video at the time; this statement serves to clarify.
1.2 What the video actually did (facts)
- The 18 cosmological parameters per frame (H₀, Ω_m, w₀, n_s, A_s, etc.): All from the evolution engine’s matrix-derived values at that step; i.e. given by the dynamics step by step. This matches “multi-parameter evolution” in the copy.
- Timeline and evolution range: Continuous evolution from the Planck scale to heat death (10^100 yr) is done in a single QNM engine, without splicing other theories—consistent with “full evolution” and “single first-principles framework.”
- Source of the H(z), w(z) curves: The evolution engine uses unitary evolution; eigenvalues are approximately conserved along a single trajectory, so the H and w values given directly by the engine change very little along the trajectory (relative standard deviation typically < 5%). In that situation, the video script used a phenomenological overlay to show a curve that varies with redshift: it computes H(z) and w(z) using standard cosmological scaling H(z)=H₀√(Ω_m(1+z)³+…), w(z)=w₀+w_a·z/(1+z), with H₀, Ω_m, w₀, w_a taken only from the engine’s first step (or today’s parameters), not from observational fits. So the H(z), w(z) curves varying with z in the video at that time were not computed by the dynamics at each time/redshift; they were a phenomenological display (“parameters from QNM, curve shape from standard formulas”). This is already noted in the video academic disclosure and script comments; this statement makes the clarification explicit and centralized.
1.3 Clarification
- Interpretation to avoid: “Full dynamical evolution is already implemented and dynamics gives H(z), w(z) at every redshift”—this does not match the video’s actual implementation before 2026-02.
- Wording that remains accurate: Full temporal evolution from quantum origin to heat death under a single first-principles framework; 18 parameters per frame from dynamics; and ex-post comparison of today’s H₀ etc. with observation. When referring to the curves H(z)/w(z), one must state that in that video they were a standard formula + engine parameters phenomenological display, not dynamics output at each redshift.
2. Current Progress (As of 2026-02)
Staged progress has been made on dynamics-derived H(z)/w(z) and stage-wise comparison, and a stepwise plan for first-principles and observational consistency is in place. Full achievement depends on further theoretical and implementation work; no timeline or certainty is committed, but the path is clear and feasible.
3. Citation and Use
- When citing or sharing the earlier cosmic evolution video or related copy, cite this statement and state clearly: the H(z), w(z) curves varying with z were at that time a phenomenological display (standard formula + engine parameters), not dynamics output at each redshift; the 18 parameters and temporal evolution did come from dynamics.
- For current dynamics output, use the dynamics output report, Phase 3 validation report, roadmap, and detailed implementation plan as the reference, and retain their disclosures (S→a assumption, mapping, reference comparison, etc.).
Related documents: Video academic disclosure; stage-wise consistency plan and limitations; roadmap for dynamics-derived H(z)/w(z); first-principles H(z) analysis and implementation plan; dynamics output report and Phase 3 validation report in this directory.
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