Why the Algebra Does Not Break Down

The axioms are scale-invariant. {S, B, R, C} do not contain a scale. The scales (ℏ, c, G, m_ε) are consequences of the axioms, not inputs. The same algebra operates at every scale: two sectors, one break, irreversible records, finite propagation. At quantum scales — superposition, measurement, uncertainty. At atomic scales — spin, exclusion, shell structure. At stellar scales — curvature, horizons, Hawking radiation. At cosmological scales — Λ, decoherence, the classical limit.

There is no regime where the algebra breaks down because the algebra does not depend on a regime. No new axiom is introduced at the Planck scale. The same axiom covers all regimes. The Planck scale is not a wall. It is where the two readings of the axiom — the quantum reading and the gravitational reading — become equally loud. The one-loop correction is the quietest whisper of this fact: at macroscopic scales the quantum reading is nearly silent (δG/G ~ 10⁻⁷⁰); as you approach the Planck scale it becomes a conversation; at the Planck scale both voices speak at equal volume. And now you know what that conversation sounds like: ℓ_P²/L². You have heard it derived. You have seen it forced.