Metering the Planck Length without big G using Artian Geometery* Anchors: A QTT Keystone Framework for the Artian Ruler, Rank-One Geometry, Non-Gravitational Doors, and Source-Only SI Boundaries

A source/readout map for measuring the Planck-length scale without using Newton's constant as the constructor. This paper organizes the Quantum Traction Theory (QTT) program for metering the standard Planck-length scale through the Artian ruler \(_A\), while keeping the measured Newton constant \(Gobs\) out of every non-gravitational constructor. The title intentionally uses Geometery with an asterisk as an author-facing release marker; the formal technical term inside the paper remains Artian Geometry. Concept DOI: 10.5281/zenodo.21190193 Version: 1.0 Author: Ali Attar Website: quantumtraction.org The central distinction is: \[ { Grammar: one ruler must exist ≠ Door: a declared non-G anchor meters it. } \] The rank-one grammar theorem identifies the same completed Artian address event through surface, volume, four-volume, tick, endurance, density, and spectral faces: \[ { _A =2√{{Sₘᵢₙ}{π}} =√Q_Σ/8π =({6Vₚᵢₓ}{π})1/3 =({VSQ}{4π})1/3 =(Δ V_4/4π)1/4 =c t_A = c/E_. } \] The strongest presently executed non-\(G\) energy door is the weak/scalar-photon-edge route: \[ { E_(γ H) = {(√2\,G_F)-1/2} {√2\,q_H R_HEW}, _A(γ H) = { c}{E_(γ H)}. } \] Equivalently, the same route gives the Artian ruler directly from the non-gravitational Fermi anchor: \[ { _A(γ H) = 23/4\, c\, q_H\, R_HEW√G_F. } \] with \[ { q_H=2exp\![-4π^2-1/8ρ^2], R_HEW = exp\![-{αQTT}{8ρ^2}√{6+ρ⁻²}], ρ=2πcosπ/8. } \] The clearest live falsifier is the neutrino-electroweak ruler: \[ { _A(ν) = c/(2π)^5 v^2 √{(ρ^2-1)Δ m₂₁^2}. } \] The paper ranks the available doors by strength, novelty, scientific value, and falsifiability; prints the no-smuggling firewall \[ { {∂_A⁽ⁱ⁾}{∂ Gobs} = {∂ E_⁽ⁱ⁾}{∂ Gobs} =0 } \] inside every legal non-\(G\) constructor; and separates non-\(G\) anchored rows from the stricter source-only SI endpoint problem. The latter remains the Keystone target: \[ { non-G anchored-only SI. } \] Main status labels: Σ-A5X-RANK-ONE-ARTIAN-RULER-GRAMMAR-CLOSED Σ-WEAK-SCALAR-PHOTON-EDGE-NON-G-RULER-EXECUTED Σ-NEUTRINO-ELECTROWEAK-RULER-LIVE-FALSIFIER Σ-ELECTRON-SOURCE-MASS-RYDBERG-CORRIDOR-GREEN Σ-EM-CAPACITY-EDGE-DIRECT-NON-G-MEASUREMENT-PENDING Σ-UEL-FOUR-DENSITY-K2-CERTIFICATE-PENDING Σ-COHERENCE-WALL-DIRECT-RULER-PROTOCOL-GATED The paper is a source-side statement inside Artian's Universe. It treats smooth spacetime and the usual Planck-unit formulas as useful laboratory shadows, not as the ontology from which the Artian ruler is born. Related QTT anchors: Main book v10.01: 10.5281/zenodo.17527179 Newton constant / five faces of \(G\): 10.5281/zenodo.20057430 Keystone Audit: 10.5281/zenodo.21141060 Source-only SI endpoint bridge: 10.5281/zenodo.20936013 Artian capacity endpoint without \(G\): 10.5281/zenodo.21182051 Electron/Rydberg theorem: 10.5281/zenodo.20800371 Photon-edge theorem: 10.5281/zenodo.20628735 Included files: Main PDF paper, Version 1.0 LaTeX source and local style dependency Numerical verification script JSON certificate and SHA-256 manifest Render audit and reconstruction notes