An ε-Lattice Hypothesis for the Cosmic Baryon Asymmetry

This version is a mechanism-upgrade checkpoint for the ε-lattice / flavor-determinant baryogenesis program. The core empirical hypothesis remains that the observed baryon yield is controlled, up to an order-one coefficient, by the electroweak-scale down-sector determinant ratio YB ≈ KB · Dd (μEW), with Dd (μ) = yd (μ) yₛ (μ) yb (μ) /yₜ (μ) ³. Earlier versions established the ε-lattice organization, the flavor-determinant bridge, reproducibility scripts, null tests, and low-complexity monomial scans. This version adds a mechanism-side upgrade: determinant-weighted spontaneous baryogenesis with winding enhancement, a frozen explicit source-side benchmark, falsifier gates, a sphaleron/κdyn timing kill-test, and a compact clockwork/monodromy architecture for the required burst–recoil rolling source. New in this checkpoint: 1. A frozen source-side benchmark for the explicit low-scale source sidecar: ρ = 5. 0 and θ = 0. 325. 2. A source benchmark falsifier suite showing that the benchmark remains small-source, regulator-free compatible, and one-rung ε-locked under the tested transport stress envelope. 3. A κdyn timing kill-test showing that the WE-DWSB mechanism is viable only if the CP-odd bias becomes effective sufficiently early relative to sphaleron freezeout, approximately Tₒn ≈ 136–137 GeV for the canonical logistic profile. 4. A roll-profile / field-range test showing that subthermal monotonic or burst–recoil profiles require very large effective winding/path length, of order 10¹4 in the effective τ₁ coordinate. 5. A compact clockwork/monodromy interpretation, with a benchmark q = 3, N = 30 and Nₑff = 3³0 ≈ 2. 06×10¹4, compressing the required effective motion into less than one fundamental turn. 6. A two-scale clockwork benchmark separating the small zero-mode drive scale from the nearest-neighbor clockwork locking scale: f_τ ≈ 250 GeV, Λcw ≈ 185 GeV, Λdrive ≈ 0. 042 GeV. 7. An endpoint-local drive-operator test showing that the required drive-to-lock hierarchy, (Λdrive/Λcw) ⁴ ≈ 2. 6×10^-15, is naturally comparable to the clockwork endpoint suppression q^-N = 3^-30 ≈ 4. 86×10^-15. This deposit remains a hypothesis and falsifiable test program, not a validated baryogenesis theory. The most important remaining open test is whether a technically natural compact clockwork/monodromy sector can realize the endpoint-local zero-mode drive while preserving the determinant bridge, sphaleron timing window, and radiation-subdominant burst–recoil profile. Reproducibility: the v1. 03 mechanism-upgrade bundle contains the sidecar notes, Python scripts, CSV tables, and plots for the source benchmark, timing kill-test, roll-profile analysis, clockwork/monodromy architecture, two-scale clockwork benchmark, and endpoint-local drive-operator test.