Audit note. This paper derives the Planck mass via holographic self-consistency between 4. 8. 8 node geometry and the Friedmann equation, yielding MP² = 24²ₐ₂₃³/ (H₀_) at 0. 07\% numerical agreement with CODATA. The exact algebraic theorems of §§2--4 (silver-ratio area cancellation, Euler-characteristic flatness, holographic trap identity) are immune to formula-freedom audit. However, the gravitationally active vacuum energy Eₕ₀₂^grav = 34² derived in §6 is assembled post-hoc from three independently motivated but phenomenologically coupled parameters (Sₕ₀₂ from Part 16, a structural fraction 3/4 from R1--R4 counting, and a radiative-coupling factor ^-1) into a screening factor S = 458. 15. The walk-operator self-energy derivation of S from first principles is currently open. Per t The Planck mass follows from holographic self-consistency: MP² = 24*pi*alpha²*LambdaQCD³ / (H0*OmegaLambda), yielding MP=1. 2217e19 GeV (0. 07% error). The vacuum energy density rhoLambda=9*alpha²*LambdaQCD³*H0 matches observation exactly, resolving the cosmological constant problem. The 4. 8. 8 tiling has zero Euler characteristic, making spatial flatness topologically inevitable. v2. 0 (2026-06-12): an in-PDF dated status/erratum note has been added reflecting the June 2026 canon audit (DRIFT/ANCHOR ledger) ; see the paper's status note for the specific corrections, supersessions, or upgrades. 2026-06-20 legacy canon revision: This is a canon-reconciled legacy version. Planck-mass route superseded by proton-primary/selector analysis The paper retains its historical derivation trail but carries a 2026-06-20 canon revision note identifying current status and superseded claims. 2026-06-21 canon refresh: This version incorporates the 2026-06-21 ANCHOR/DRIFT/PTMS canon refresh and rebuilt local PDF.
D. G. Elliman (Sun,) studied this question.