High Energy Particle Physics

A Finite Carrier Vacuum and Discrete Collision Fractures in the Distinction Engine

Authors: Jason Merwin

We report the emergence of a finite carrier vacuum and macroscopic collision-fracture dynamics within a Distinction Combinatorial, a discrete relational growth model. We demonstrate that the reduced boundary grammar natively forms a hard-core carrier sea (measured densityρC ≃ 0.019092) that organizes into paired capsules, produces nilpotent defect-repair cascades, and supports coherent two-phase carrier-current propagation. This supplies a structured discrete medium, establishing that particle-like bridge formation propagates through a finite capsule sea capable of retaining route memory and observable topological scars.When driven to extreme local density, this discrete vacuum exhibits a deterministic transition. Anchored by the E24 energy tier—which naturally produces a symmetric topological fracture quantitatively aligning with the kinematics of the CMS CMS 6.14 TeV wide-dijet display—we analyze the primary E30 collision channel. The E30 channel reaches a strict bridge peak of $15C_{m AB}$ and shatters via 15CAB → 8CA + 7CB + 15Cspent. Route-flow analysis reveals the underlying graph-mechanical law governing this high-energy scattering: a finite zero-anchor capacity funnel. Contact selections virtually reroute capacity by creating transient replacements, which feeder selections sequentially actualize and consume. As the local zero-anchor pool drains linearly from 15 to 0, the available interaction space collapses, forcing a deterministic final fracture at edge 78--1549. The post-fracture debris retains distinct topological scars (an upstream B-side route-memory hub and a final edge-fracture scar), demonstrating that high-energy path dependence is not a stochastic failure of a continuum, but the execution of remaining legal graph moves within a depleted discrete vacuum.Finally, we project this microscopic vacuum structure to the cosmological scale. The raw finite-count de Sitter baseline is 5.27% high relative to a flat ΛCDM comparison. By applying the open-to-mature registry factor (124/120) and the natively measured microscopic carrier density (1 + ρC ), we derive a combined multiplier of 1.05306, seamlessly closing the residual to match the required 1.05272. This unified result links the local topological density of the discrete foam directly to the global cosmological constant.

Comments: 16 Pages. link is provided to the GitHub repository

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[v1] 2026-06-24 06:05:24

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