Version history-Quantum Narrative School

Version history 时间：2026-05-20 浏览次数：91次

The latest updates are all in zenodo, and I will update zenodo first when I am busy recently

MA, N. (2026). The Nature of Reality: The Quantum Narrative Matrix Hypothesis. Zenodo. https://doi.org/10.5281/zenodo.20290323

Addressing Eugene Wigner’s puzzle of the “Unreasonable Effectiveness of Mathematics,” this paper proposes the Quantum Narrative Matrix (QNM)—a framework that transforms mathematical ontology from a metaphysical concept into a rigorous, computable physical theory.Instead of merely describing how the universe behaves (like the Standard Model), QNM explains why these laws exist. It models reality as an evolving high-dimensional information structure (N=21), demonstrating how observable spacetime, matter, and causal dynamics emerge naturally from abstract mathematical constraints. This framework offers a scientific answer to the “Source of Reality,” moving beyond descriptive physics to Generative Ontology.

Inputs: (π, e, i), parent N=22 --[CH/GUE-like (β=2) symmetry-breaking/projection]--> N_eff=21 -> U(21) -> 17 cosmological observables; N_eff=21 is constraint-selected (topology + holography), not a tunable parameter.

Scope note: this is a model-level mechanism claim under preregistered assumptions, not a claim of automatic theorem-level uniqueness beyond those assumptions.

Version update (since 2026-05-19)

I uploaded the main paper together with the supplementary package UPLOAD_PACKAGE_C3_EXECUTION_REVIEW_20260519_EN.zip, which contains the public English-only machine-readable evidence for reproducible C3 execution-review closure (C3_READY_FOR_EXECUTION_REVIEW) under frozen governance (R11/R12 readiness ledgers, conflict-free snapshots, alternative-exclusion summaries, and claim-boundary documents).The paper and package keep a strict honesty boundary: this release supports execution-review-ready closure and auditable gate completeness, but does not claim that final-law completeness is formally proven.

Version update (since 2026-05-19)

I uploaded the supplementary package UPLOAD_PACKAGE_H22H21_SYMMETRY_BREAKING_20260519_EN, which provides the essential English-only evidence for the H22→H21 effective-dimension symmetry-breaking channel (complex Hermitian, GUE-like, beta=2), including fixed-protocol replay summaries (independent quick/high-budget, random-projection high-budget, cross-parent high-budget, and robust seed-mining). The main paper was updated to state this mechanism at near-theorem evidence-candidate tier with single-author origin-priority wording, while keeping strict claim boundaries: no final formal theorem claim and no global C3-closure claim.

Version update (since 2026-05-18)

The C2 internal-enhanced execution completed all configured blocks (PATH_A/B/C/D and AUDIT_ORDER4/6/7/8/9) under machine- readable governance. The status ledger records C2_ALL_BLOCKS_EXECUTED_READY_F OR_REVIEW with final state C2_READY_FOR_R EVIEW . Here, PATH_A/B/C/D are parallel reproducibility lanes, and ORDER4/6/7/8/9 are governance audit bundles; this establishes execution closure-for-review and evidence completeness, not theorem- level closure.

Version update (since 2026-05-17)

I uploaded the supplementary evidence package UPLOAD_PACKAGE_C1_A_DOMINANT_MULTI_CHANNEL_20260517_EN.zip, containing the archived C1 materials for the A-dominant multi-channel chain (including independent dual-path reproducibility and preregistered counterexample stress records). Under frozen protocol governance and audit-gated controls, the QNM high-dimensional matrix framework maintains a reproducible empirical mapping to observable cosmological parameters, retains C0 closure in the archived STRICT3 package, and completes C1 requirement alignment in the archived 2026-05-17 C1 package under the frozen recognition standard (where C0 denotes the academic-standard evidence-closure tier, and C1 denotes theorem-grade alignment checklist closure rather than final-law completion); theorem-level uniqueness/necessity claims and any assertion of final-law completeness remain explicitly reserved.

Version update (since 2026-05-16)

I uploaded the supplementary evidence package UPLOAD_PACKAGE_C0_A_DOMINANT_MULTI_CHANNEL_STRICT3_20260516_EN.zip, containing the archived STRICT3 materials for the A-dominant multi-channel chain. Under frozen protocol governance and audit-gated controls, the QNM high-dimensional matrix framework establishes a reproducible empirical mapping to observable cosmological parameters and reaches C0 closure in this archived package (where C0 denotes the academic-standard evidence-closure tier), while theorem-level uniqueness/necessity claims remain explicitly reserved.

In the manuscript, the corresponding scope language has been aligned at key claim-control locations so that closure status and claim boundaries are stated consistently.

Version update (since 2026-05-12)

I uploaded a focused supplementary evidence package for truth-gate closure under the TBP governance update (V7_20260512). The package anchors the machine-readable result that theorem_claim_readiness.all_relevant_hard_gates_pass = true, while preserving boundary discipline (closure_level_statement_allowed = false) and keeping third-party auditor sign-off as a post-closure mandatory compliance lane (independent_auditor_replay_signed = false, independent_auditor_replay_postclosure_required = true).

In the main manuscript, this update is reflected at the key positions where claim scope is controlled: the claim-level abstract and positioning language, the TBP anchor paragraph in Section 7.7.1 (AUDIT_ORDER [1]–[9] pointer), the boundary statements in Section 8.2, the candidate master-relations context in Section 8.3 (M1–M6), and the machine-read status table in Appendix C. These locations now consistently express: truth gates pass.

Version update (since 2026-05-12)

I uploaded a supplementary item titled “QNM/ACEH Candidate Master Relations M1–M6: A Priority Note” (v1.0, 2026-05-12). It mainly records the programme-level candidate master relations M1–M6 (spectral closure–readout chain, working point N = 21, and β = 2 / GUE-like class as the current winning spectral class) together with claim boundaries and a suggested citation. In the main manuscript it corresponds to Section 8.3 (Candidate Master Relations and Priority Statement (M1–M6)) and the parallel index Appendix B.12;

Claim posture (theory-facing). The manuscript now states clearly—in Abstract, Introduction, §7.12.4, §8, and §8.2—that the work is an audit-governed candidate framework with theorem-grade evidence engineering, not theorem-level closure.

TBP / gates (experiment-facing index). §7.11.1 and the §8.1 table summarize what the Theorem Breakthrough Programme locks mean for readers: which T1/T2/T3 gates remain open without adding new numerical headline results.

QNM / DFC / ACEH (theory packaging). §7.12.4 reframes academic significance as candidate-level structural unification plus audit-governed science, explicitly theorem-oriented but not closed; Appendix C adds compact tables (C.1–C.3) that index the same lock-file story for external readers.

Repository anchor. The §7.7.1 TBP / AUDIT_ORDER [1]–[9] paragraph remains the main-text pointer to THEOREM_CLAIM_HARD_GATES_STATUS_20260511.json

Version update (since 2026-05-11)

Added a candidate-level follow-up boundary statement, explicitly distinguishing strong-candidate status from closure-level claims and preventing over-interpretation of follow-up outcomes.Location in manuscript: Appendix C addendum paragraph (immediately before “Theoretical Purity and Consistency Rate”).

Added a multi-filter evidential framing (replay robustness, formal mechanism controls, blind-freeze governance), clarifying that the current strength comes from structured non-elimination across filters rather than a single-point result.Location in manuscript: same Appendix C addendum paragraph (immediately before “Theoretical Purity and Consistency Rate”).

Added a structural-triad clarification for QNM/DFC/ACEH, with explicit role separation across evidence anchor, dynamical interpretation, and algebraic closure target to preserve cross-layer epistemic firewall discipline.Location in supplementary materials: QNM/DFC/ACEH Structural Triad Supplement.

Added a consolidated follow-up audit package with candidate-level status-chain and disclosure-governance framing for external review consistency.Location in supplementary materials: QEUBP Supplementary Audit Addendum and the synchronized follow-up submission bundle.No headline claim-level theory numerics were revised by this update.

Version update (since 2026-05-10)

Version update (since 2026-05-02)

Version update (2026-04-23)

Manuscript (vX): Revised Abstract + §1 (A1.1): three-tier, firewall-aligned abstract; pointer to independent rescoring (DONE); preliminary AI-baseline band 3/17–17/17 with heterogeneity caveat and links to Supplementary Material S / the four-way blind-baseline note; §§1.5–1.6 plus exploratory macro-scale wording; explicit deposit / no-fallback integrity sentence; no changes to CLAIMS_MATRIX or frozen headline numerics.

Companion upload: Revised main PDF plus Preprint_Upload_Bundle/ — minimal audit pack (Material S, blind baseline, independent rescoring, challenge results shell, Planck/SEED rules digest, reproduction entry, frozen scoring artefacts). Supplements A/B are not duplicated in the bundle (already deposited as PDFs).

Version update (2026-04-11)

Under QNM’s structural reading, all seventeen mapping formulas trace back to a single mathematical object: the complex exponential e^{iθ}. It underlies the unitary group, seeds GUE statistics, and carries π (periodicity), e (the base), and i (complex structure). The core QNM claim is that this is not a coincidence: e^{iθ} is the algebraic root at the matrix substrate, and the observable universe is its projection.

Supplement_IF-EB_e_i_pi_plus_1_eq_0_to_17_Cosmological_Parameters_EN.html, …_ZH.html, …Cosmological_Parameters.html (plus paired .md) — IF-EB supplement From e^{iπ} + 1 = 0 to 17 cosmological parameters: Euler-triad / U(N) pipeline note.

Version update (2026-04-10)

Supplementary_P-R_NARROW_300draws_4N_19-22_Gap_Panel_20260409_EN.html — P-R mapping rigidity (narrow): 300 preregistered draws, N ∈ {19,…,22}; runner-up gap Δ, η² panel table, Figure S-PR1 (κ knobs and ‖ln κ‖₂ vs Δ), honesty firewall.

Supplementary_P-R_WIDE_1000draws_11N_16-26_EXT_20260409_EN.html — P-R mapping rigidity (wide + EXT): 1000 draws × eleven N levels (16–26) and extension batch; gap/panel summary and same disclosure style as the narrow companion.

Supplementary_Preregistered_NullTests_PipelineA_AlignedCount17_L1_L2_L3_20260410.html — Preregistered null models Levels 1–3: protocols, tallies, figures, and honesty firewall for L1/L2/L3.

Pipeline A — disclosure stack (main manuscript)§5.3.3.1.1 adds a six-layer indexed summary (cross-N 15/17, extended RSS scan, R1 null, B-1 derived S₈, P-R 300/300, post hoc gap / additive panel readout) with an explicit rule: do not merge distinct protocols into one pooled significance claim. A short English synopsis reports min Δ ≈ 1.43, mean Δ, and balanced additive sum-of-squares split on the 300×4 panel; draw×N interaction is not separately identified (one mean per draw×N cell)—the residual must not be read as a standalone “N×κ interaction variance.” §7.7.2.3 and §8 (Limitations) cross-link this stack, the JSON, and the supplement.

P-R batch (archived; no new experiment in this note)Preregistered κ_code drift on {19,…,22}: argmax N = 21 in 300/300 draws (r excluded mean aligned_count_17); R2+ and global uniqueness remain out of scope. Exploratory ‖ln κ‖₂ vs Δ is weak on U[0.5,2.0]⁴ (see JSON)—not a substitute for widening κ or R2+ tests.

The public code repository has not yet been synchronized with this main-manuscript and supplementary update.

Version update (2026-04-08)

Supplementary PDF added: consolidated memo for the exploratory N=21 / Sym² fuzzy-sphere toy layer (same firewall as §3.3.4 / repository companion: not Pipeline A Planck claims).

Version update (2026-04-07)

Pipeline B / geometric closureThe main text gives operational definitions of (G\in\mathbb{R}^{2+3N}) and (\varepsilon), and separates the (N\le 9) and (N=21) regimes: closure diagnostics at small (N) must not be extrapolated to large (N) without explicit statement; failure of the large-(N) inverse map under the same threshold as small (N) is disclosed in the text.

Phase 1–style (\varepsilon) landscape (concepts and terminology)Track α ((\varepsilon) from spectral + Haar + two-leg dynamics-induced change in (G)) is distinguished from track β ((\varepsilon) from the L-BFGS map isomorphic to Phase 0); the two (\varepsilon) scales are not directly comparable. Expanded pilot results (random vs perturbed; fuzzy-group statistics, etc.) are summarized in main-text §7.7.3.1.

Epistemology and statistical wordingBonferroni illustration, alternative reading for β results, “necessary but not sufficient” boundaries, and falsifiability wording are tightened where the main text cross-cuts these topics. Figures S1–S4, if they appear only as layout/caption templates in a future formal supplement, are governed by that supplement (the main PDF does not depend on them).

Manuscript placementThe Introduction adds ontological distinction from string-theoretic tradition and states the logical independence of the Pipeline A cosmological chain from modular geometric-closure diagnostics; §7.7.3.1 gives closure metrics and an (N=9) pilot summary; figures and prose are aligned with this disclosure stance and checked for internal consistency.

Dark energy and Planck countingThe main text foregrounds (w_0) and (w(z)), falsifiability relative to (\Lambda)CDM, and the holographic end-state narrative; it clarifies 18 core outputs vs Planck-scalar agreement tallied on 17 quantities (tensor (r) reported separately) and deprecates legacy 16/18 packaging.This deposit is manuscript-only. The public code repository is not synchronized with this revision; the current public implementation emphasizes the Pipeline A static-mapping side and does not ship a full reproducible bundle for Pipeline B dynamics and geometric closure.

Version Update (2026.04.06)

(1) §7 — Self-referential fixed-point framework and tripartite correspondence: maps the three QNM mechanisms (topological constraint, ordering preference, integral coupling) onto the three conditions of the Banach fixed-point theorem; defines the operational self-consistency metric ε_geom and the geometry-space cycle Ψ(G) ≡ E(R(G)); proposes three candidate inverse-mapping schemes; includes a four-phase falsification roadmap. Entire section is declared (A)-level only.(2) §1.3 — Priority and intellectual-property notice for the tripartite-mechanism framework and its fixed-point correspondence.(3) §7.2.1 — Terminological equivalence table: lists equivalent phrasings for each mechanism to facilitate cross-referencing and prevent ambiguity.(4) §3.5.6 — 62-row cross-scale table documentation fingerprint.(5) Structural fingerprint statement (§7.2): five-element conjunction that identifies the specific contribution of this work.All new material maintains the (A)/(B) separation established in v2.8. No (B)-scope claims are extended.

Pipeline status note: preliminary results indicate that the static-ensemble pipeline (Pipeline A) is unlikely to yield non-trivial structure in ε_geom and may be discontinued. The dynamical pipeline (Pipeline B, BFSS+Myers leapfrog) remains under active development. Updated computational results are expected in the next version.

Version Update (2026.03.21)

N=21 material is layered into the fixed-N main chain, dimension scan / selection disclosure, and phenomenological cross-N comparison (including κ scale-anchor stratification and reproduction switch notes). §7 complexity–cosmology usage is unified under complexity-tracking and the CV correspondence; wording and definitional scope are tightened across the manuscript.

Version update (2026.03.20)

The release includes the full visualization QNM cosmic evolution: Birth to Death (four acts: quantum genesis → inflation → cosmic web → holographic heat death) and a single supplementary PDF, Supplementary Material: QNM Cosmic Evolution Film — Methodology and Integrity Disclosure, documenting scope, methodology boundaries (model-driven main 3D chain vs conventions/tuning vs inset reference/mock/illustration), and reproducibility notes aligned with the rendering pipeline. Main 3D tracers are not obtained by fitting to survey or P(k) data; any auxiliary regression on simulated proxies is separate from the main chain. Please cite the video together with this PDF.

Version Update (2026.03.17)

Version Update (2026.03.07)

A new supplementary PDF, Supplementary Material: QNM Cosmic Evolution from Genesis to Holographic Heat Death, accompanies the full visualization video QNM cosmic evolution: Birth to Death (four acts: quantum genesis → holographic inflation → structure formation → holographic heat death).

Version Update (2026.03.04)A new supplementary PDF, Supplementary Material: Microscopic Dynamics and Validation of Emergent Spacetime Geometry from Matrix Quantum Mechanics, collects the numerical details of metric emergence, light-cone and double-commutator–Laplacian checks, and local thermodynamics and entanglement entropy scaling. It includes key figures S1–S5 (metric expansion, t-SNE manifold, Laplacian check, E–S correlation, and entanglement scaling). See main text §1 (Introduction), §7.6 (emergent gravity), §7.7 (Future Work), and the supplementary material directory.Submission package contents unchanged; PDF and cosmic_evolution video updated.

Manuscript (2026-03-03) Duplicate figures removed (Figure 2 only in §3.3.1; Section 6 references Figure A1–A2 in §4.6). HTML figure markup corrected (no nested <figure>). Figures and Tables: 17.

GR emergence In the cosmological limit the framework gives thermodynamic emergence of GR: Friedmann equation from first principles (Appendix D); Clausius relation dE = T dS verified numerically (Pearson ≈ 0.99); link to Jacobson (1995). → Paper: §7.6, Appendix D, Figure 16 (dE/dt vs T·dS/dt).

Local gravity emergence (2026-03, implemented) Phase I: Second-order perturbation gives Veff∼1/r2(effective D=4); static two-block diagonalization gave non-Newtonian scaling (V∼r0.4), consistent with a dynamical / one-loop interpretation. Main text §7.7. Phase II: Banded-HH light-cone; bandwidth comparison (1 vs 3): BW=1 slow and localized, BW=3 shows a clear linear cone with veff≈5.68. In addition, a dedicated double-commutator–Laplacian check (script gr_emergence_phase2_laplacian_check.py) confirms that diag(−[H,[H,h]]) matches the discrete ∇2h with correlation ≈ 1.00 and scale factor ≈ 2, closing the loop between theory note §4b and numerics. Figure 17 and Supplement (Fig. S3). Main text §7.7. Phase III (preliminary): ELEL–SLSL correlation ≈ −0.90; two-particle runs with Bell state and exchange coupling; entanglement entropy scaling SA(LA) for 1D chain gives CFT-like logarithmic scaling with effective central charge ceff≈1.28 (N=14), indicating emergent spatial connectivity. Main text §7.6–7.7; Supplement Fig. S5.

Phase IV – Emergent 3D geometry (2026-03-04, closed):  N=21 BFSS-type matrix dynamics (with Myers term) yields a stable fuzzy 3-sphere: (i) X3 eigenvalue spectrum is an equally spaced ladder (spin-JJ structure, SU(2) irrep); (ii) under quartic perturbation V∼ϵTr(X34) (ϵ=0.01), the matrix heatmap shows structural modulations (checkerboard/domain walls), i.e. incipient block-diagonalization / gauge symmetry breaking. Mass perturbation at ϵ=0.02 leaves the continuous diagonal band intact (topological robustness). Main text §6.2.1, §7.7.3; Figures 19 and 20; full set in Supplementary Materials (02_Supplementary_Materials/figures/, phase4_).

Other GR-Emergence numerics (2026-03): Thermodynamic first law dE=TdSdE=TdS verified (correlation ≈ 0.99); distance-operator ⟨d2⟩(t) vs Friedmann-like aref(t) (Pearson r≈0.92); t-SNE manifold shows two-phase evolution (frozen → geometric expansion). Main text §7.6; Figures 16, 18.

Cosmic fate (phantom, no Big Rip) QNM has w₀ ≈ −1.01 but N=21 is finite → C(t) bounded → late-time Ċ→0, H→0. So w<−1 is transient; no Big Rip; asymptote is holographic heat death.

→ Paper: §6.4. N=21 / D=6

N=21 from constraint satisfaction (topology + holography); D=6 from N = D(D+1)/2 (a posteriori). → Paper: §3.3, §5.3.3, Geometric Resonance Theorem.

A-system & tripartite time A-system run (2026-02-08): H(z), w(z), evolution-endpoint H₀ in range of early/late measurements. Three arrows (Algorithmic, Topological, Thermodynamic) at each step; see §7.4 and Supplementary “Tripartite Nature of Time”.

Code / numbers Core scripts use first-principles constants (e.g. 1/π², √(π·e), 8π²). Results in §4.6, Table 5.1, §5.10, §6.2, RUN_ANALYSIS_REPORT_20260208.

Cosmic evolution video (2026.03.01) Full dynamical evolution only: H_CDHD = (1/3)(dC/dt)/C, w(z), H_eigen, C(t), Δ from engine each step; no phenomenological H(z)/w(z) overlay.

MCMC (2026.03.01) Single-chain convergence (R‑1 < 0.02); working toward R‑1 ≤ 0.015. Outputs in chains/ and multichain/; final posterior to replace cited observational constraints in a later release.

Academic Cosmic Evolution Run (2026-02-08)

The A-system complete cosmic evolution script generate_academic_cosmic_evolution_figures.py has completed a standard academic run. Results are incorporated into the main paper (Section 4.6, Table 5.1, Sections 5.10 and 6.2) and documented in a standalone analysis report. The run was executed on 2026-02-08 from 00:12:51 to 00:13:12. Configuration: N = 21 with 10 independent realizations; all 10 completed successfully (10/10). Each realization used 200,001 integration steps, reaching present cosmic time ≈ 13.8 Gyr. The evolution-endpoint Hubble constant is H₀ = 68.26 ± 2.55 km/s/Mpc (range 63.99–73.29), and the evolution-endpoint dark-energy parameter is w₀ ≈ −1.01 (phantom-type). There were no phantom crossings (0): w(z) stays near a Λ-like form throughout. Outputs and the narrative report live under 05_Core_Source_Code/A/01_figure_generation/output/academic_paper_figures/, with RUN_ANALYSIS_REPORT_20260208 (Chinese/English Markdown and HTML). Evolution begins in the Planck-era (quantum-matrix) regime; the redshift track runs from very high z to the present (z ≈ 0), consistent with the main-text idea of starting from the ultra-early universe when the quantum matrix runs. Planck and SH0ES in the figures are reference comparison only and are not used as inputs in the derivation.

Static vs dynamic vs Planck 2018 — parameter comparison

Parameters compared to Planck in the main paper and deviation figures come from the static ensemble (unit-norm random matrices, 100 runs). The dynamic (academic run) column gives evolution-endpoint values from the 2026-02-08 run. For σ₈, the dynamic run gives a raw evolved-matrix-scale value ≈ 1.594 ± 0.002; only the static σ₈ (≈ 0.8099 ± 0.038) is used for Planck comparison (see the report and main text). H₀: Planck 67.36 ± 0.54; static QNM 68.47 ± 4.82; dynamic QNM 68.26 ± 2.55 km/s/Mpc. σ₈: Planck 0.8111 ± 0.006; static 0.8099 ± 0.038; dynamic 1.594 ± 0.002 (raw; not used vs Planck). n_s: Planck 0.9649 ± 0.0042; static 0.9574 ± 0.0008; dynamic 0.9577 ± 0.0005. A_s (×10⁻⁹): Planck 2.100 ± 0.034; static 2.082 ± 1.76; dynamic 2.30 ± 2.29. Ωm: Planck 0.3153 ± 0.0073; static 0.3255 ± 0.0056; dynamic 0.3233 ± 0.0037. ΩΛ: Planck 0.6847 ± 0.0073; static 0.6745 ± 0.0056; dynamic 0.6766 ± 0.0037. w₀: Planck not listed as a single reference row; static −1.0098 ± 0.0009; dynamic −1.0095 ± 0.0009. w_a: static 0.00166 ± 0.00013; dynamic 0.00164 ± 0.00016. ℓ₁: static 226.22 ± 13.77; dynamic 227.79 ± 8.19. ℓ_d: static 1207.89 ± 73.78; dynamic 1216.55 ± 43.68. σ₈_seed (dynamic only): 0.272 ± 0.0003. τ: Planck 0.0544 ± 0.0073; static 0.0522 ± 0.0066; dynamic not reported in this comparison. z_reion: static 8.22 ± 0.39; dynamic not reported. S₈: static 0.8436 ± 0.040; dynamic not reported. Data sources: Planck from PLANCK_REFERENCE in code; static ensemble from 05_Core_Source_Code/all_cosmological_parameters_summary.csv (100 runs); dynamic from 05_Core_Source_Code/A/01_figure_generation/output/academic_paper_figures/18_parameter_summary.csv (10 realizations, 2026-02-08).

Core Achievement (2026.01.28)

The Quantum Narrative Matrix (QNM) theory derives 18 cosmological parameters from first principles without empirical curve-fitting or free parameters, achieving statistical consistency for 16/18 parameters (88.9% alignment rate), including 13 high-precision matches (<3% deviation) and 3 strong agreements (3–6% deviation) with Planck 2018. The values below are from the static ensemble (used for Planck comparison in the main paper).

I. Primordial Perturbations & Inflation (3 parameters)

ParameterQNM Prediction (static)Planck 2018DeviationStatusn_s0.9570 ± 0.00080.9649−0.82%✅ ExcellentA_s (×10⁻⁹)2.082 ± 1.7632.100−0.84%✅ Excellentr0.0575 ± 0.0013<0.056—TheoreticalII. Background Geometry & Cosmic Composition (8 parameters)

ParameterQNM Prediction (static)Planck 2018DeviationStatusH₀ (km/s/Mpc)68.47 ± 4.8267.4+1.59%✅ ExcellentΩ_m0.3253 ± 0.00560.315+3.28%✅ ExcellentΩ_b0.0462 ± 0.00210.0492−6.28%✅ GoodΩc0.2792 ± 0.00510.2642+5.68%✅ ExcellentΩΛ0.6747 ± 0.00560.685−1.51%✅ Excellentt₀ (Gyr)13.52 ± 1.0213.801−2.03%✅ Excellentw₀−1.0098 ± 0.0009−1.03−1.96%✅ Excellentw_a0.0017 ± 0.00010.00.0017✅ ExcellentIII. Acoustic Scales & Horizons (3 parameters)

ParameterQNM Prediction (static)Planck 2018DeviationStatusℓ₁226.22 ± 13.77220.0+2.83%✅ Excellentℓ_d1207.64 ± 73.761210.0−0.20%✅ Excellent100θ*0.9753 ± 0.04151.04092−6.30%✅ GoodIV. Structure Formation & Ionization (4 parameters)

ParameterQNM Prediction (static)Planck 2018DeviationStatusσ₈0.8099 ± 0.03810.811−0.14%✅ ExcellentS₈0.8433 ± 0.03980.834+1.11%✅ Excellentτ0.0522 ± 0.00660.054 ± 0.007−3.29%✅ Excellentz_reion8.22 ± 0.397.68+7.0%✅ GoodKey results (programme framing)

Statistical Summary

Item

Value

Total parameters

18

Statistically consistent

16/18 (88.9%)

High-precision (<3% deviation)

13

Strong (3–6% deviation)

3 (Ω_m, Ω_c, Ω_b)

Good

1 (z_reion: +7.0%)

Theoretical interpretation

1 (r: geometric noise floor)

Within observational uncertainty

1 (τ: -3.29%, within 1σ of Planck)

Derivation Methods

All parameters are derived from first principles via:

The Tripartite Nature of Time:This theory resolves the "Time Arrow" paradox by defining time as a three-stage emergent process:

Micro: Algorithmic iteration (Reversible/Unitary).Meso: Topological constraint (Causal).Macro: Thermodynamic selection (Irreversible).This hierarchy explains why the macroscopic universe exhibits an arrow of time while microscopic laws remain symmetric.

Rigorous Empirical Validation:Based on "Golden Regime" simulations (100 independent runs), my model achieves a statistical significance of Z>7.91σ. It accurately reproduces 7 out of 8 key cosmological parameters (including Ωₘ, nₛ, σ₈) with deviations <3% from Planck 2018 baselines. Notably, the deviation in the 8th parameter (H₀) represents a successful prediction of late-time Phantom acceleration, aligning perfectly with SH0ES local measurements (H₀≈71) rather than early-universe extrapolations.

Three Core Mechanisms (Core Value Points of the Theoretical Framework)

The uniqueness of the QNM framework lies in its complete three-mechanism coupled dynamics system, where these three mechanisms work together to generate self-consistent cosmic solutions from high-dimensional possibility space:

(1) Iterative Generation Mechanism (Mechanism of Possibility Creation)- Continuously generates new possibility states through recursive mathematical operations, forming the fundamental driving force of cosmic evolution- Mathematical implementation: Recursive functions and iterative mappings- Physical correspondence: Quantum fluctuations and vacuum excitations

(2) Topological Constraint Mechanism (Enforcement of Logical Consistency)- Ensures self-consistency and stability of generated structures through topological invariants and algebraic constraints- Mathematical implementation: Topological invariants and algebraic constraints- Physical correspondence: Conservation laws and symmetries

(3) Ordering Preference Mechanism (Selection Mechanism for Stable Structures)- Prefers structures with maximum stability and minimum complexity among numerous possibilities- Mathematical implementation: Optimization algorithms and stability criteria- Physical correspondence: Energy minimization and entropy increase principles

These three mechanisms are tightly coupled, working together to realize the dynamic generation process from "essence" (high-dimensional mathematical structures) to "phenomena" (observable universe), solving the fundamental problem of "the unreasonable effectiveness of mathematics in physics."

Statement of Originality and AttributionThe foundational framework of the Quantum Narrative Matrix (QNM) and the “Quantum Narrative School” has been formally recorded in major public encyclopedias (including Baidu Baike). Note that these early records represent the conceptual foundation prior to the development of the three core mechanisms and the mathematical derivation of cosmological parameters presented in this paper.The evolution of this theory has involved extensive interdisciplinary dialogue with distinguished scholars and experts from institutions including the Venice Academy of Fine Arts, the National University of Defense Technology, Peking University, and Chang’an University, as well as renowned contemporary artists and cultural leaders. Related academic exhibitions were held at the Xi’an Chanba Silk Road Cultural Center. All historical documentation and correspondence have been preserved.

Proper citation and attribution are required for any reference to or use of this work.

As an interdisciplinary practitioner, I still have many knowledge gaps. I just want to share that I have presented or discussed my work with professors and friends, but that doesn’t mean my work is necessarily accurate. I still need extensive testing and multi-faceted validation to confirm its accuracy.

Thank you very much to all readers!