What question did this study set out to answer?

This work aims to extend the KIT framework to gravity and derive Newton's constant using Riemann zeros.

March 26, 2026Open Access

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

Key Points

This work aims to extend the KIT framework to gravity and derive Newton's constant using Riemann zeros.
Extended the KIT framework to include gravity and lattice saturation.
Reinterpreted Einstein's field equations within a lattice equilibrium context.
Derived Newton's constant with an error of 0.06% using a mathematical equation involving Riemann conjugate pairs.
Resolved discrepancies in Cavendish experiment results through predictions on the stochastic nature of G.
Gravity is identified as a force restoring KIT lattice saturation.
Newton's constant is derived with high accuracy, showing G fluctuates at about 0.06%.
Explained the connection between photons and gravitons within the KIT framework.
Addressed six open problems in gravitational physics, including the hierarchy problem and the nature of dark energy.

Abstract

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 - Nₗocal, 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) Date: March 23, 2026, Seoul

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