G■ Meets Quantum Gravity

We submit the minimal discrete épure G■ to the three canonical tests that string theory and loop quantum gravity aim at. (i) Black-hole entropy: G■ reproduces the area law S∝A from flexion bits on quantised cost-asymmetric cells; the 1/4 coefficient fixes a constrained pure ratio a/l_P rather than an adjusted parameter (unlike the Immirzi parameter). (ii) Quantised dynamics: the signature-transition flow furnishes a finite geometric foam with a well-defined, UV-finite transition amplitude Z=Σexp(iS_Regge). (iii) Gravitational scattering: the flexion correlator yields an amplitude that is Newtonian at long range, finite at the Planck scale (where perturbative theories diverge), and unitary (no ghost), with a falsifiable quadratic Lorentz-violation correction. Gravity is geometric and graviton-free throughout. We state honest bounds: these are structural/propagator-level results; the full non-linear Einstein 4D limit and the complete loop amplitude remain open. The programme thus enters quantum gravity from a single founding principle, with proper advantages over established approaches on the precise tests addressed.