Original ledger status
SCALE.OVERDET.01
SCALE.OVERDET.01
THE SINGLE MASS ANCHOR IS OVER-DETERMINED; NO DERIVABLE ABSOLUTE SCALE IS A THEOREM (2026-06-18): sharpens the No-Unit theorem (v153). [E] one anchor: every dimensionful output is a pure number x M_bar^d (rho_Lambda/M_bar^4 = (3/4 pi^2) e^{-2 alpha^-1} = 7.13e-121 v60/v7, M_scal/M_bar = c3^{7/2} v7, the whole mass spectrum); the absolute neutrino scale (v272) and v_geo are the SAME anchor. [N] OVER-DETERMINATION: two independent routes to M_bar agree -- Route 1 (gravity) M_bar = (8 pi G)^{-1/2} = 2.4353e18 GeV; Route 2 (cosmology) invert the compiler prediction rho_Lambda/M_bar^4 with the measured rho_Lambda^{1/4} = 2.24 meV -> M_bar = 2.438e18 GeV, agreeing to 0.11%. [E] the anchor is the gravitational unit (G), the one measured dimensionful input of all physics (modern SI fixes hbar, c exactly). [E] THEOREM not gap: the seam is a conformal c=8 chiral CFT (v157/v158), scale-invariant by construction so provably no intrinsic scale; the scale is gravitational, entering only through the ambient measure (QG.AMB.01). [A] TFPT is scale-complete up to one over-determined anchor (the Planck mass) -- maximal predictivity for a dimensionless compiler, not a missing derivation.
Recorded status: Identity [E] + over-determination [N] + re-typing [A]
Dependencies, status detail and source
Canonical status: [E] one anchor + the conformal-seam reason; [N] the two-route over-determination (gravity vs dark energy, 0.11%); [A] the re-typing of v_geo to an over-determined anchor = the Planck mass. Sharpens v153/v78.
Dependencies: ANCHOR.VGEO.02; COSMO.LAM.01; QG.AMB.01; FLAV.NUSCALE.01
Scripts: v274_scale_overdetermination.py
Location: tfpt_4_frontier
Original CSV, line 367