Gravity as KIT Lattice Restoration Force: Derivation of Newton's Constant from the First Riemann Zero

This work extends the KIT (Kim's Isotropic Template) framework to gravity and presents the following results: 1. GRAVITY AS LATTICE RESTORATION FORCE Gravity is the force that drives every region of space back to full KIT lattice saturation N=7=2³-1. Local matter creates a deficit δN = 7 - N_local, and the Einstein tensor G_µν is precisely the restoring force eliminating this deficit. The Einstein field equations are reinterpreted as the lattice equilibrium condition. 2. DERIVATION OF NEWTON'S CONSTANT (error 0.06%) Using both members of the Riemann conjugate pair (ρ₁, ρ̄₁): ln(G·mp²/ℏc) = -(4/3)|ρ₁|√(7π) - ln(B(1)) where |ρ₁| = √(1/4+γ₁²) = 14.1436 is the conjugate pair amplitude, and B(1) = |ζ'(ρ₁)|² = 0.6291 is the KIT spectral stiffness — the same quantity that determines the electron mass. Zero free parameters. Error: 0.06%. 3. THE ALPHA-OMEGA CONNECTION (N=0 ↔ N=7) N=0 (photon) and N=7 (graviton) are the boundary modes of the same KIT lattice — the alpha and omega of the particle spectrum. Their mutual connection explains why light is deflected by gravity. 4. SPIN-2 GRAVITON FROM 6+1 CANCELLATION N=7 full saturation contains 7 conjugate pairs. 6 pairs cancel along three spatial axes (3×2=6), leaving 1 residual anchor pair as a symmetric tensor mode → spin-2 graviton. N=7 = 6 (cancel) + 1 (anchor = graviton). 5. CAVENDISH EXPERIMENT DISCREPANCY RESOLVED G itself fluctuates at σ(G)/G ≈ 0.06% due to Planck-scale distribution (SPTH). The observed RMS scatter of precision G measurements (~0.06%) matches this prediction exactly. No experiment can measure the "true" G because G is stochastic. 6. SIX PREVIOUSLY OPEN PROBLEMS NOW RESOLVED: ① Why is G the value it is? → KIT formula ② Why is gravity the weakest force? → lattice attenuation ③ Why does light bend around gravity? → N=0↔N=7 ④ Why do Cavendish experiments disagree? → G fluctuates ⑤ What is dark energy? → residual lattice tension ⑥ The hierarchy problem (10³⁶)? → N=0 vs N=7 amplitude STATUS: Private working notes.These results will be made public after the companion KIT particle mass paper is accepted for publication. COMPANION PAPERS:- KIT Mass Formula: doi.org/10.5281/zenodo.19045290- KIT Superconductivity: doi.org/10.5281/zenodo.19157596 - KIT Quantum Entanglement: doi.org/10.5281/zenodo.19145486- SPTH (Galaxy dynamics): doi.org/10.5281/zenodo.19017035 Author: Yilwook Kim (yilwookim@snu.ac.kr)