# Density Field Dynamics v4.0 "Golden Master" — Complete Release Package

**Gary T. Alcock — July 4, 2026 — CC-BY-4.0**
Succeeds the Zenodo v3.3 release.

## What this is

The complete, reproducible release of Density Field Dynamics (DFD), a
flat-spacetime scalar refractive-index theory of gravity with an internal
CP² × S³ microsector:

| File | Contents |
|---|---|
| `DFD_Main.pdf` | The theory (348 pp): axioms, theorems with proofs, derived predictions, falsifiers, revision ledger |
| `DFD_Extended_Derivations.pdf` | Companion volume (76 pp): extended derivations and frontier predictions |
| `main.tex` | **The primary volume source — the main document.** Compile this |
| `*.tex`, `figures/` | Full LaTeX source — both volumes rebuild from this package. `DFD_Extended_Derivations.tex` is fully self-contained (its cross-volume reference targets are baked into its preamble) |
| `reproduce.py` | **One command reproduces the headline numbers** (see below) |
| `README_VERIFICATION.md` | Referee guide to every verification script in the package |
| `DFD_CLASS_verification/` | CAMB-based DFD cosmology engine (CMB, matter power, BAO, lensing) |
| `head_to_head_pipeline/`, `chi_verification/`, `dark_sector_verification/`, `supplement/`, `scripts/` | Verification suites and figure generation |

## Reproduce the headline numbers (one command)

```
python3 reproduce.py
```

No installation needed — the core suite is pure Python standard library.
It recomputes, live, in about a minute — starting with the fine-structure constant itself (alpha^-1 = 137.03599985 from the closed form at k_max = 60, 0.0056 ppm from CODATA, with the neighboring truncations missing by ~1.7%):

- **Ω_χh² = 0.1182** — the dark-matter abundance from finite Chern–Simons
  modular data (8 internal gates, including rival-measure exclusions),
- **H₀ = 72.0897 km/s/Mpc** — from `H₀ = α^28.5/t_P` and CODATA constants
  alone; no cosmological input,
- **|V_cb| = 0.04033** and the locked CKM chain (ΔM_s/ΔM_d = 33.3),
- **ε_K** — including the honestly-booked −13% deficit the theory cannot
  tune away (printed as a deficit, not hidden),
- **σ₈ = 0.8193 / S₈ = 0.7843** — a live CAMB forward run at the derived
  parameter set (`pip install camb` to unlock; cited from the archived reference run
  otherwise).

Every gate is a genuine recomputation with documented inputs, and the suite
exits nonzero if any number fails to reproduce. Discrepancies are wanted:
report them.

## Rebuild the papers

```
pdflatex main.tex && bibtex main && pdflatex main.tex && pdflatex main.tex
pdflatex DFD_Extended_Derivations.tex && pdflatex DFD_Extended_Derivations.tex
```

**Overleaf:** upload the zip as-is — `main.tex` is the main volume's root document and compiles by default; switch the main document to `DFD_Extended_Derivations.tex` to build the companion.

Build the main volume (`main.tex`) first (the Extended volume resolves cross-references from
`DFD_Main.aux`; prebuilt `.aux`/`.bbl` ship in the package so it also builds
as-is).

## Honesty conventions

Every claim in the corpus is tier-labeled (theorem / derived / conjectured /
empirical) with an explicit falsifier. The theory's three discrete inputs
(N_gen = 3, the q₁ = 3 selection, the measure normalization) are marked where
they enter — see the App. F status remarks. Known tensions (ε_K, |V_cb|,
ΔM_s/ΔM_d) are printed with their pre-registered external deciders (Belle II,
FLAG lattice ξ) rather than softened. The verification package follows the
same rule: mismatches are flagged in bold in `README_VERIFICATION.md`, not
papered over.

## Citing

Please cite the Zenodo record DOI of this deposit (v4.0), which supersedes
the v3.3 record.
