Appendix G: Governance: no-tuning, LOCK, gate; the anti-circular chain; falsification

This appendix sets out the governance discipline the volume inherits from the physics volume and applies to cosmology. Its four declarations are not stylistic; they are what let a reader separate a prediction from an accommodation on every line of the scorecard. The central rule is No-Tuning: no value or threshold may be adjusted afterward to fit the data.

This volume inherits the governance discipline of the physics volume (its Part I) and applies it to cosmology. The four declarations below are not stylistic; they are what let a reader separate a prediction from an accommodation on every line of the scorecard.

This volume inherits the governance discipline of the physics volume (its Part I) and applies it to cosmology. The four declarations below are not stylistic; they are what let a reader separate a prediction from an accommodation on every line of the scorecard (App (scorecard)).

No-Tuning (no post-hoc adjustment)

No definition, value, closure, gate threshold, or choice of what to report may be adjusted after the fact to improve agreement with the data being explained. In particular the forced quantities—the geometric 2π, the 1/r² inflow law, the deficit construction—carry no free knob; they cannot be retuned to a rotation curve. The only admissible change is a logged version-up (§“v2 change note”), never a silent edit. Forbidden moves, by type: (A) definition tuning, (B) value tuning, (C) closure/model tuning, (D) gate tuning, (E) selection/reporting tuning. Each, if committed, voids the affected claim's grade.

LOCK (single source of truth)

The following are frozen and referenced, never re-derived in place: the per-nucleon inflow rate ν_H=3π⁴+1; the inflow force law a=GM/r² and its deep-field completion through a₀=cH₀/2π; the canonical cell size a=6.33×10⁻¹⁹m; the optical anchors (632.99nm and the 532nm cross-check); and the microscopic imports listed in Appendix D (DOI \href{https://doi.org/10.5281/zenodo.17932566}{10.5281/zenodo.17932566}). A result may use a locked quantity but may not alter it; conflicts are resolved by version-up of the source, not local patching.

Gate and the grading vocabulary

Every quantitative claim is admitted only at a graded tier, and the tier is printed beside it. \textsf{[F]} forced—fixed by geometry, the π-chain, or integers, not adjustable; \textsf{[O]} open—an external empirical input (e.g. G, H₀, the masses); \textsf{[F+O]} structure forced, absolute magnitude external (e.g. the CMB floor: mechanism forced, the radiation-density anchor open); \textsf{[HYP]} a hypothesis with a stated test; \textsf{[SPEC]} speculative, flagged as such. Orthogonally, the empirical relation to standard physics is labelled degenerate (matches the standard account, offered as consistency), distinguishing (differs in a testable way), or conflicting (in open tension). A sentence may assert only what its tier licenses; “derived” is reserved for \textsf{[F]}.

Degrees-of-freedom ledger

The free parameters of the whole construction are few and disclosed: the measured H₀ and the Sun's galactic a_(gal), Ω_(gal) (Ch 6); the optical anchor (Ch 2); and a mass-to-light Υ per galaxy in rotation fits (Ch 6, Ch 8). Everything structural—the 2π, the law's shape, the deficit's positivity, the locking dichotomy—is forced and carries no knob. This ledger is why the scorecard pairs a grade with each number: high accuracy next to a free input is accommodation; next to a forced quantity it is prediction, and the table is built so the distinction cannot hide.

The anti-circular logic chain

The outputs are produced in a fixed sequence that uses only external H₀ and the measured masses as empirical inputs—never the curve being explained:

  1. Input. The single per-nucleon inflow rate ν_H (geometric in the physics volume).
  2. Bulk. Inflow ∝ mass (forced from step 1).
  3. Gravity. The momentum of a 1/r² inflow ⇒ a=GM/r².
  4. Orbits. Kepler and the Solar System follow as a consistency check (no new parameter).
  5. Scale. The inflow-circulation geometry forces a₀=cH₀/2π; here, and only here, the measured H₀ enters. The 2π is geometric, not fitted to rotation curves.
  6. Curves. The radial-acceleration relation and flat curves follow from steps 3 and 5.

Separately, the lattice-optics (non-expanding) distance relation plus measured supernova fluxes give the Hubble diagram (Ch 7), and the deficit gives dark matter and the CMB (Ch 8–9). The crucial property is that the one quantity a critic would suspect of being tuned—a₀—is forced by geometry through 2π, with H₀ its only empirical content. That is what breaks the circularity charge: nothing in the chain is adjusted to the relation it later reproduces.

Falsification criteria

The framework is killed by any of the following: (1) a₀ failing to track cH₀/2π across redshift (it is not a free constant here); (2) absence of the predicted correlation of the locally inferred H₀ with line-of-sight density and direction (Ch 7); (3) deficit lensing measured at γ≠1 for systems where the rotation-fit deficit is well constrained (Ch 8); (4) a confirmed transverse vacuum dispersion at the rate the flat reading gives, which the angle account forbids (Ch 2); (5) a population of merging clusters whose deficit cannot reattach to the gas cores; (6) a present-day observable that demands metric expansion in a way the lattice optics cannot host. Each is a concrete out, stated before the test.