Physics from Finite Validation: The Electron as a Mode of the Vacuum Network

In the preceding works we presented the vacuum as a network of normal nodes and quantum link-acts. Here the electron is read as a mode of that network, in the one-channel reading of the revised Paper 1 (§5.11): everything moves by distinctions at the locks, and one parameter — delay — separates light from matter. The massless excitation is a transfer; the massive excitation is a closed mode whose own circuits are its clock. The electron's motion is a reassembly of configuration, paying a delay — its mass — at every reassembly, with v < c as the arithmetic of tick costs. From this construction follow, each with its stated status: tunnelling as underpaid reassembly — the exponential decay law confirmed in-model in the linear regime (ln S = −2κd, R² = 0.989; κ~√(V−ω²) in form, coefficient instrument-limited at 0.85; the nonlinear enhancement beyond the linear regime measured and named as a validity boundary); charge as topological winding — the sign of the force from pure statics (opposite kinks attract, like kinks repel, E/E₀ = 1.0000, no fitting), with Coulomb 1/r² a named debt; the σ-state of the vacuum as an equation-of-state structure for Λ — a vacuum at rest synchronises to zero (σ_eff ~ t^−1.4, no plateau), while internal traffic sustains a stationary roughness (σ_stat ~ M^0.55 over 3 seeds), so vacuum energy tracks traffic density through ε = σ²/(2K²); and spin ½ as the twist parity of validation ties — the dynamical link-orientation hypothesis rejected by test (2D and 3D, documented), the geometric carrier identified as the pair-with-ties (the only two-node configuration carrying Z₂, with ties constitutive in the validation ontology), and the spin–statistics connection since supplied at theorem level by the revised Paper 1 (Finkelstein–Rubinstein), with the dynamical test remaining open. Every claim carries its status. The bridge between the two model regimes, named load-bearing at first writing, has since been built in the linear and solitonic regime by the bridge work; the remaining debts — Coulomb scaling, link-memory dynamics, the assembly weight — are collected in the ledger. Simulation code and full numerical protocols are in the Supplementary Material and the open repository. Code: https://github.com/ivan-denysov/finite-validation-electron