The G·K Topological Constant_ Coupled Variation of Gravity and Mass Emergence in VEQF

By equating the VEQF and Standard Model expressions for the gravitational constant G, we derive that the product G⋅K is a topological constant anchored to the Down quark’s Topological Constraint Index (N_d = 3). Crucially, the mesoscopic lattice scale l_q cancels out entirely, confirming it as an auxiliary parameter rather than a fundamental constant. This derivation demonstrates topological invariance: even if G and K vary locally across vacuum energy densities, their product remains fixed, preserving particle identity (TCI integers) across all environments—consistent with Dr. Wang’s three proton generations.