Geometric Gravity Theory (GGT): Resolution of the Hierarchy Problem via Clifford Torus Instanton Suppression in the ODD Framework

Gravity is uniquely weaker than the Standard Model forces by 34 orders of magnitude. In the Operator-Derived Dimension (ODD) framework, this hierarchy is a geometric consequence of projecting a 5D bulk onto a 4D hypersphere (S4). While gauge forces are confined to the intersection seam (N = 3), gravity propagates through the full encapsulating bulk volume (N = 4).We derive Newton’s constant G explicitly from the bulk curvature scale k and the anchor mass Manchor ≈ 173 GeV. The hierarchy arises from an exponential volume suppression factor e−S4 , where S4 is the geometric action of the hypersphere. We calculate that a geometric action of S4 ≈ 78 naturally reproduces the observed Planck scale (G ∼ 10−39 GeV−2) from the electroweak scale, unifying gravity with the Standard Model geometry.