DMDE: epsilon-lattice + EBDD (working hypothesis) — Zenodo-ready bundle (v0.7)

DMDE (working hypothesis): epsilon‑lattice + EBDD (v0.7)

This deposit provides a versioned, self-contained research bundle for the DMDE program (Dark Matter–Dark Energy bridge), including notes, figures, tables, and small reproducibility scripts.

Core elements (order-of-magnitude / working framework):

• ε‑power mass ladder: M(n) = M_Pl · ε^n with ε ≡ sqrt(m_μ/m_τ) ≈ 0.2438515, highlighting discrete scales near μ ≈ 0.332 GeV and a benchmark DM scale m_χ ≈ 5.02 GeV.

• EBDD dark-energy bridge: ρ_Λ^(1/4) = κ · μ · sqrt(m_e / M_Pl) (κ ~ 1), with “electron selection” giving an O(1) match to the observed ρ_Λ^(1/4) ≈ 2.24 meV for μ ≈ 0.33 GeV.

• Portal wedge (vector mediator): allowed region for coupling product (g_χ g_q) vs mediator mass m_V, combining (i) direct-detection upper bounds and (ii) an asymmetry-transfer lower bound (dim‑6, Γ ~ T^5/M^4), plus a perturbativity guide (g_χ g_q ≲ 1).

• Annihilation-consistency overlay: adds a thermal annihilation consistency line (heavy-mediator limit) as an additional falsifiable check.

• Dark-photon option: kinetic-mixing viability window using α_D from annihilation and a BBN decay lower bound, yielding an allowed band for kinetic mixing vs m_{A’}.

Bundle contents:

• PDF note: DMDE_Core_Spine_and_Falsifiers_v0.2_2026-01-06.pdf

• Notes (markdown): mechanism + synthesis + next-level summaries

• Repro scripts (Python): quickcheck runner + portal wedge plotting + supporting calculators

• Figures (PNG) and small CSV/JSON tables used to generate them

Reproduce (quick check):

1. Unzip the bundle

2. cd DMDE_ZENODO_READY_v0.7_2026-01-06

3. Run: python code/dmde_quickcheck_runner_v6_2026-01-04.py

Status: working hypothesis / not peer-reviewed; intended to be iterated via Zenodo versioning and checked via falsifiable constraints.