Emergent Fundamental Constants from Geometry in the Operator-Derived Dimension (ODD) Framework

We present the Operator-Derived Dimension (ODD) framework as a geometric theory in which all fundamental constants emerge from the topology and curvature of a higher-dimensional bulk. The cornerstone result of the program is the derivation of discrete action quanta as a topological invariant arising from a sphere-on-sphere intersection. While the absolute SI value of Planck’s constant (h) depends on the operator stiffness scale (Ω), the necessity of quantization (existence of discrete quanta N = 1,2,3,...) is fully predicted. Building upon this geometric origin of quantization, the same Transverse Slicing Operator and bulk curvature simultaneously constrain Newton’s constant, gauge couplings, fermion masses, and mixing angles.In ODD, physical constants are not independent empirical inputs but correlated eigenvalues and topological charges of a single geometric structure.