IPD‑12 → RTT/∞ Direct‑Mapping Sheet
From Drift Mechanics → Substrate‑Tensor Inversion#
This sheet shows how each IPD‑12 operator, layer, and output maps directly into its RTT/∞ successor — bypassing RTT/3 and RTT/12 synthesis layers.
It is the vertical hard‑bridge between:
- IPD‑12 (drift mechanics, structural paradox mode)
- RTT/∞ (substrate grammar, vacuum logic, dimensional rails, prime‑state profiles)
1. Direct Operator Mapping#
| IPD‑12 Operator | RTT/∞ Successor | Meaning |
|---|---|---|
map_process() |
map_substrate() |
Capture becomes substrate‑capture |
compare_process() |
compare_substrate() |
Structural comparison becomes substrate comparison |
drift() |
invert_drift() |
Drift becomes invertible substrate‑drift |
detect_divergence() |
detect_substrate_shift() |
Divergence becomes substrate‑shift detection |
drift_tensor() |
substrate_tensor() |
Drift‑tensor becomes substrate‑tensor |
align_coherence() |
align_substrate_coherence() |
Coherence becomes substrate‑coherence |
cross_system() |
cross_substrate() |
Cross‑system becomes cross‑substrate |
These successors are visible in the substrate‑tensor and vacuum‑layer explainer you already approved.
2. Direct Layer Mapping#
IPD‑12 drift‑tensor layers map directly into RTT/∞ substrate‑tensor layers:
| IPD‑12 Drift Layer | RTT/∞ Substrate Layer |
|---|---|
| Geometric | Substrate‑Geometry |
| Operational | Substrate‑Flow |
| Temporal | Substrate‑Time |
| Conceptual | Substrate‑Meaning |
| Domain | Substrate‑Field |
This mapping is visible in the substrate primitives, substrate cube, dimensional rails, and prime‑state profiles (turn0browsertab2).
3. Direct Regime Mapping#
| IPD‑12 Regime | RTT/∞ Regime |
|---|---|
| Surface | Infinite‑Surface |
| Mid | Infinite‑Mid |
| Deep | Infinite‑Deep |
| — | Substrate |
| — | Vacuum |
| — | Dimensional |
| — | Prime‑State |
RTT/∞ spans all regimes, including substrate and vacuum.
IPD‑12 spans only surface → mid → deep.
4. Direct Structural Mapping#
| IPD‑12 Structure | RTT/∞ Structure |
|---|---|
| structural layers | substrate primitives |
| operational flow | substrate rails |
| coherence baseline | substrate‑coherence field |
| boundaries | substrate constraints |
| domain | substrate field tensor |
RTT/∞ reduces all structure to substrate primitives (turn0browsertab2).
5. Direct Paradox Mapping#
IPD‑12 paradoxes are structural.
RTT/∞ paradoxes are substrate‑inversion paradoxes.
| IPD‑12 Paradox | RTT/∞ Paradox |
|---|---|
| structural paradox | substrate paradox |
| coherence paradox | substrate‑coherence paradox |
| dependency paradox | substrate‑dependency paradox |
| boundary paradox | substrate‑boundary paradox |
| temporal paradox | substrate‑time paradox |
| interpretive paradox | substrate‑meaning paradox |
| domain paradox | substrate‑field paradox |
RTT/∞ resolves paradoxes by collapsing them into vacuum and rebuilding them via substrate grammar.
6. Direct Tensor Mapping#
IPD‑12 Tensor:#
drift_tensor(L1–L5)
RTT/∞ Tensor:#
substrate_tensor(
invert(drift_tensor),
lift_dimensions(),
align_prime_states(),
bind_observer()
)
This is the exact transformation described in your substrate‑tensor explainer.
7. Direct Vacuum‑Layer Mapping#
IPD‑12 has no vacuum layer.
RTT/∞ uses vacuum logic to:
- nullify structure
- collapse regimes
- invert tensors
- rebuild substrate
- align prime‑states
Direct mapping:
| IPD‑12 | RTT/∞ Vacuum Layer |
|---|---|
| — | vacuum() |
| — | nullify() |
| — | reconstitute() |
These operators appear only in RTT/∞.
8. Direct Engine Mapping Summary#
IPD‑12
→ drift mechanics
→ drift‑tensor
→ structural paradox
RTT/∞
→ substrate grammar
→ substrate‑tensor
→ vacuum logic
→ dimensional rails
→ prime‑state profiles
→ infinite‑regime synthesis
RTT/∞ is the substrate‑aware inversion engine that consumes IPD‑12 outputs directly.
9. Direct Mapping Table (Compact)#
| IPD‑12 | RTT/∞ |
|---|---|
| drift | invert_drift |
| drift‑tensor | substrate‑tensor |
| coherence | substrate‑coherence |
| boundaries | substrate constraints |
| layers | substrate primitives |
| flow | substrate rails |
| domain | substrate field |
| paradox | substrate paradox |
| structure | vacuum → substrate |
| regime | infinite regime |