High Energy Particle Physics

Empirical Signatures of a Discrete Topological Vacuum: Correlating LHCb Angular Tensions and CMS Dijet Fractures

Authors: Jason Merwin
Comments: 12 Pages. A code repository is provided

The assumption that spacetime is a continuous manifold faces persistent challenges from localized, unexplained anomalies in both high-energy scattering and flavor-changing neutral currents. This manuscript investigates an alternative framework in which the vacuum is modeled as a discrete, combinatorial topological lattice rather than a continuous background. This structural approach dictates a strict geometric maturity boundary at the coordinate | cos θ| = 1/3, equivalent to the collider kinematic variable χ = 2. We test this exact geometric constraint against two independent collider datasets. In the high-energy regime, CMS particle-level dijet distributions at 13 TeV reveal a macroscopic lattice fracture: a 30.5% residual cross-section excess immediately prior to this χ = 2 boundary, followed by an abrupt post-boundary collapse in the 6.0 to 7.0 TeV bin. In the low-energy limit, LHCb angular measurements of the B0 → K∗0μ+μ− decay demonstrate geometric steering, matching the framework’s directional predictions across five primary angular rows (Z = 5.88). By correlating TeV-scale structural shattering with GeV-scale geometric steering at the identical topological coordinate, these results provide empirical weight to a discrete relational vacuum as an explanatory model. To ensure methodological rigor and avoid post-hoc curve fitting, strict geometric forward predictions for future independent B0 data have been prospectively defined.
Category: High Energy Particle Physics