A registered result in its source context
Original ledger classification: Identity [E] + over-determination [N] + re-typing [A]
Recorded statement: 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)…
Statement, assumptions and sources
Paper context: Frontier and open physical interfaces
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SCALE.OVERDET.01
Original ledger classification: Identity [E] + over-determination [N] + re-typing [A]
Original claim text
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.
Original classification detail
[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 as recorded
ANCHOR.VGEO.02; COSMO.LAM.01; QG.AMB.01; FLAV.NUSCALE.01
Open the original ledger source, row 367Location recorded in the ledger
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- Frontier and open physical interfaces
Sections that explicitly cite this claim
A literal claim identifier is present in these paper sections. The section and its premises determine what the citation supports.
- 2026-06-18 (scale + frontier round: [formula in source] -mass scale, EG gauge running, over-determination, QG roadmap, v272– v275)Research changelog; TFPT — Introduction and reading guide
- Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
- Front matter / supportFrontier and open physical interfaces
Navigation through a shared verification script
These sections cite a script associated with the claim. This is a source navigation join, rather than an explicit citation of the claim or a theorem equivalence.
- The closure ledger: what is done, and what genuinely remainsTFPT — Introduction and reading guide
- Proton/electron ratio [formula in source] — a cross-sector ratioFrontier and open physical interfaces
- 2026-06-18 (Zenodo release 5.2 (rev 191) — the perturbative 4D-QFT layer + scale closure, v269–v275)Research changelog; TFPT — Introduction and reading guide
- Front matter / supportResearch contracts
- 2026-06-24 (The five TOE/QFT closure contracts v398– v402 + a ledger rescope)Research changelog; TFPT — Introduction and reading guide
- Research Contract 2 — [formula in source]tfpt research contracts
- 2026-06-22 (the first-principles boundary, mapped: can [formula in source] be computed? can [formula in source] be first-principles? both NO, with the exact reason: v339)Research changelog; TFPT — Introduction and reading guide
- 2026-06-18 (Red Team Target F — adversarial audit of the v269–v275 round, rt_F)Research changelog; TFPT — Introduction and reading guide
Registered verification modules
- v274_scale_overdetermination.pyRegistered verification module · frontier
Read the description recorded in the module registry
SCALE.OVERDET.01 — the single mass anchor is OVER-DETERMINED, and the absence of a derivable absolute scale is a THEOREM. [E] one anchor (No-Unit, v153): every dimensionful output = pure number × M_bar^d (ρ_Λ/M_bar⁴, M_scal/M_bar=c3^{7/2}, the spectrum); [N] two independent routes to M_bar agree: gravity (8πG)^{-1/2}=2.4353e18 GeV and cosmology (invert ρ_Λ/M_bar⁴=(3/4π²)e^{-2α⁻¹} with ρ_Λ^{1/4}=2.24 meV)=2.438e18 GeV, to 0.11%; [E] the anchor is the gravitational unit (G), the one measured dimensionful input of all physics; [E] theorem not gap: the seam is a conformal c=8 CFT (v157/v158), scale-invariant by construction → no intrinsic scale, the scale is gravitational; [A] scale-complete up to one over-determined anchor = maximal predictivity. Sharpens v153/v78.
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