Part II: Spectral Quantization of Geometry via the Operator ????

Current preprint develops a quantum geometric framework based on the spectral properties of the operator Ĉ, derived from the relativistic deformation function C(v). The operator is constructed on the compact Hilbert space L²([-v_c, v_c]) and proven to be self-adjoint with a discrete spectrum {Cₙ}. The work establishes spectral completeness, quantized geometric states, and logarithmic entropy near the compressed limit C → 0.This version is also available on Zenodo: https://doi.org/10.5281/zenodo.15309058<br><br>