We derive the Newtonian gravitational constant G from quantum inputs alone, obtaining 6. 6742989 × 10⁻¹¹ m³kg⁻¹s⁻², in agreement with CODATA to 0. 007σ with no free parameters. The formula: \ G = cmₑ² (2421) ² ^21 (1 + 1842) ² \ establishes that G can be computed from \ (, c, mₑ, \) alone and can be verified in a single computation. Six brackets trace a continuous chain from the Higgs vacuum expectation value through strong-force confinement (QCD), weak-force phase geometry (QFT), the electron mass (EM), fine-structure hierarchy scaling (QED), and a spacetime closure term. The derived G enters the Einstein-Hilbert action as a calculated coefficient rather than a free parameter, with the on-shell condition inherited from the Hamiltonian constraint of general relativity. The same geometric integers independently reproduce the MW/MZ mass ratio to 0. 0075σ and resolve the ATLAS/CMS Higgs mass tension, placing the joint coincidence probability below 10⁻⁴. If gravity is the terminal output of a quantum processing chain executed by every atom, the question is no longer how to quantize gravity, but how many other atomic flows remain to be discovered.
John Lehew (Wed,) studied this question.