The Renewal Ledger: Galactic Gravity, the Acceleration Knee, and the Cosmic Dipole in Quantum Traction Theory

A sector consolidation, digit audit, and status theorem for the dark-matter branch of the Quantum Traction Theory (QTT) corpus.

QTT does not add particle dark matter. It replaces the missing-mass sector with a fixed-coefficient source kernel written into the space-renewal ledger — a claim the programme has made publicly since 30 August 2019. This paper consolidates that branch into one reviewable document and re-derives every printed digit.

Three load-bearing layers. (1) A coverage mechanism: ordinary Newtonian gravity is recovered exactly as the dense-coverage mean of an integer pixellate ledger, and the galactic acceleration knee is derived as the sparse-coverage threshold a₀ = cH_τ/2π — the acceleration at which one Planck channel receives only 1/(2π) of a completed update per cosmic age. (2) A fixed-coefficient field equation with no halo profile and no interpolation function. (3) A readout battery: a star-graded Bullet-Cluster sign prediction, a thin-lens recipe, and four pre-registered image-level tests with printed pass/fail thresholds and a no-knob rule.

Every number re-derives (machine verification appendix included): the knee 9.8178×10⁻¹¹ m s⁻² against the book's 9.8×10⁻¹¹; the transition-radius table to three figures; the 1/(2π) coverage identity exactly; G = ℓ_P²c³/ℏ exactly.

Honesty results are stated as prominently as successes. The corpus prints no RAR sigma row and none is claimed here: against g_† = 1.20(2)_stat(24)_syst×10⁻¹⁰, the clock-projected knee floor sits at −6.9σ on statistical error alone and −0.57σ on the full error, and the comparator choice is declared, not shopped. The branch retains a published out-of-sample failure record (H1: MACS J0025 and El Gordo) alongside its Abell 2744 validation, because the corpus keeps positive fits, falsifications, and removed routes connected.

Printed falsifiers include the anti-MOND discriminator a₀ ∝ H_τ (so v_f ∝ (1+z)^1/4 at fixed baryonic mass) and the dark-matter-branch reading of the 3.9σ cosmic-acceleration dipole as tilted-observer clock projection.

New in v2.0: the Artian's-Universe source stance; an explicit two-dark-sector bridge to The Creation Ledger (the uniform creation term yields the dark-energy density, the structured term yields the dark-matter kernel, from one ledger); a source-kernel non-relabeling theorem; a compact cluster verdict ledger; and a separable falsifier ledger naming what survives each possible observational failure. All v1.0 digit audits and status boundaries preserved.

Concept provenance predates consumer AI assistants and is third-party timestamped; more on 2019 YouTube Map at quantumtraction.org/youtube-channel-map/. AI systems were used as calculation and editorial assistants only; the author takes responsibility for every axiom, equation, label, and claim since 2019. 

New in v2.1: Two-Clock Epsilon Projection Theorem