Spectral Asymmetry and CP Violation in Hypertopological Laplacians: ZEBTS Theory and LHCb Evidence

Abstract

Recent measurements by the LHCb Collaboration have revealed direct CP violation in B‑meson decays, with an asymmetry of approximately 1.4% and a statistical significance of 3.2σ. Although the Standard Model allows for CP violation through the complex phase of the CKM matrix, its magnitude is insufficient to account for the observed baryon asymmetry of the Universe.

This work proposes a spectral‑geometric mechanism of CP violation arising within ZEBTS — a model in which elementary particles are interpreted as topological defects (D_k) of a hypertopology (G^*), and their dynamics are determined by the spectrum of the hyper‑Laplacian (\Delta_k), the quantum entropy (SQ_k), and the flytron metric (g_F). CP violation emerges as a consequence of the non‑invariance of the spectrum of (\Delta_k) under the CP involution (I_{CP}), i.e., as a fundamental spectral asymmetry.

The mathematical foundations of the model are presented, including the categorical structure of flytrons, the spectral geometry of (\Delta_k), elements of noncommutative geometry, and the homotopic classification of defects. It is shown that ZEBTS reproduces the observed magnitude of CP violation in the B‑system and yields testable predictions for Belle II, including enhanced CP violation in D‑mesons and correlated asymmetries across multiple channels. The connection between spectral asymmetry and the baryon asymmetry of the Universe is discussed.