MTPU Unified Table
Ten-Layer Correspondence Tower
Every row aligns Nygaard grade Gr^k with MEP layer, DURA depth D^k(U_T), Ouro loop step, and metronic physical interpretation under Theorems C, D, E.
| Gr^k | MEP Layer | DURA Depth | Ouro Loop | Metronic / SNLDMC |
|---|---|---|---|---|
| Gr^0 | L1: Physical | D⁰(U) = P₄ | h⁰ | Hodge-Tate base |
| Gr^1 | L2: Info Flow | D¹(U) | h¹−h⁰ | de Rham / R⁶ ext. |
| Gr^2 | L3: RG Renorm. | D²(U) | h²−h¹ | Crystalline / R⁶ |
| Gr^3 | L4: Entr. Grav. | D³(U) Verlinde | h³−h² | Étale / Verlinde |
| Gr^4 | L5: DSQT/SSS | D⁴(U) Hilbert | h⁴−h³ | Syntomic / Heim R⁸ |
| Gr^5 | L6: Prismatic ID | D⁵(U) identity | h⁵−h⁴ | ϕ-module M₅ |
| Gr^6 | L7: Omega Attr. | D⁶(U) attractor | h⁶→h* | Frobenius orbit M₆ |
| Gr^7 | L8: Heim (I) | D⁷(U) Heim emb. | h⁷−h⁶ | Heim R¹² / Ext¹ |
| Gr^8 | L9: Temporal | D⁸(U) FTC | h⁸−h⁷ | 108-lock at τ_M |
| Gr^9 | L10: Prismatic | D⁹(U) full DURA | h* attractor | c_Δ=0 ⟺ SNLDMC |