This paper formulates a cross-scale extension of the L(6+7) framework in which the canonical variational root, the FRW cosmological branch, the entropy-structured mesoscopic layer, the microscopic photoproduction bridge, the time-branch of controlled irreversibility, the law of stable-history selection, and the meta-cosmological branch of multiverse age are treated as reductions of one common internal-sector mechanism. On that basis, a recursive phase hierarchy of universes and multiverses is introduced as an explicit conjectural extension. Related corpus:- L(6+7): A Unified Lagrangian Across Scales — Cosmology (FRW), Mesoscale UFT, and Vector Photoproduction — https://doi.org/10.5281/zenodo.17957821- L(6+7) Cosmology: Entropic Phase Structure of Universes and LambdaCDM as a Limiting Case — https://doi.org/10.5281/zenodo.17804016- L(6+7), Evolving Dark Energy, and the Hubble Tension: A Unified Internal-Sector Interpretation with Late-Time Dark-Sector Coupling — https://doi.org/10.5281/zenodo.19410050- Controlled Irreversibility, Temporal Order, and the Time-Branch of the L(6+7) Framework — https://doi.org/10.5281/zenodo.19222318- Stable Histories, Entropic Time, and Branch Selection in the L(6+7) Framework — https://doi.org/10.5281/zenodo.19289271- General Theory of Photoproduction on Vector Particles — https://doi.org/10.5281/zenodo.19154744- Entropic Time, Stable Histories, and the Effective Age of the Multiverse within L(6+7) — https://doi.org/10.5281/zenodo.19314286- Multiverse-Induced Gravitational Addendum as a Dark-Matter Proxy: Phenomenological Model and Galactic Rotation-Curve Fits — https://doi.org/10.5281/zenodo.17008898