R–H–O–S Boundary: Constructive Path to the Bio‑Boundary Corner (TT)

We reframe the earlier “Bio‑Boundary Trilemma” as a design tension, not a physical law. No law forbids a living boundary from transmitting information , exporting heat, and repairing itself concurrently. However, finite‑rate, finite‑resource operation imposes trade‑offs among: (i) quantum‑to‑classical information throughput, (ii) low environmental entropy export, and (iii) time‑invariance/repair. We propose an asymptotic, constructive path—the R–H–O–S architecture (self‑Repair, sub‑ambient Heat evacuation, near‑reversible Opto‑biological control, and Storage/buffering)—that approaches the ideal corner in the reversible limit, while remaining explicitly dissipative at any practical operating point. We provide operator‑level bounds, measurable KPIs, a unified MRV schema, and a staged pilot plan. Claims of “resolution” are limit statements, not violations of thermodynamics: at finite rates, Landauer costs and other irreversibilities remain ; radiative cooling at is not “zero‑entropy”; and maintaining high repair balance (e.g., 95%) requires external free energy (open system). This revision integrates prior TT manuscripts—PMMB (R), BEG/AMPA (H), τ‑Matter/OAM optics (O), and PCM/water/data buffers (S)—into a transparent, testable design framework, rather than a solved paradox.