IPD‑12 → RTT/∞ Boundary Map
Inter‑Process Drift ↔ Substrate‑Aware Infinite‑Regime Engine#
RTT‑IPD‑12 and RTT/∞ occupy maximally separated layers in the RTT canon:
- IPD‑12: Mid → Deep regime, drift mechanics, coherence alignment, cross‑system mapping.
- RTT/∞: Infinite regime, substrate grammar, inversion operators, dimensional synthesis, vacuum‑layer logic.
This boundary map defines exact limits, compatibilities, and non‑translatable structures between the two engines.
1. Boundary Summary Table#
| Category | IPD‑12 → RTT/∞ | Notes |
|---|---|---|
| Structural Capture | ✔ Compatible | RTT/∞ accepts IPD‑12 structural maps |
| Process Comparison | ✔ Compatible | RTT/∞ can ingest comparison baselines |
| Drift Detection | ✔ Compatible | RTT/∞ can use drift as substrate‑layer input |
| Drift‑Tensor | ✔ Input Only | RTT/∞ can extend tensors but not reuse them directly |
| Coherence Alignment | ✔ Compatible | RTT/∞ generalizes coherence into substrate coherence |
| Cross‑System Mapping | ✔ Compatible | RTT/∞ expands into cross‑substrate mapping |
| Structural Paradox | ✔ Compatible | RTT/∞ resolves paradoxes at substrate level |
| Multi‑Domain Drift | ✔ Compatible | RTT/∞ can synthesize multi‑domain drift outputs |
| Substrate Grammar | ✖ Not Available in IPD‑12 | RTT/∞ only |
| Inversion Operators | ✖ Not Available in IPD‑12 | RTT/∞ only |
| Dimensional Synthesis | ✖ Not Available in IPD‑12 | RTT/∞ only |
| Vacuum‑Layer Operators | ✖ Not Available in IPD‑12 | RTT/∞ only |
| Composite Infinite‑Regime Operators | ✖ Not Available in IPD‑12 | RTT/∞ only |
2. Operator Boundary Matrix#
IPD‑12 Operators → RTT/∞ Compatibility#
| IPD‑12 Operator | RTT/∞ Compatibility | RTT/∞ Successor |
|---|---|---|
map_process() |
✔ Compatible | map_substrate() |
compare_process() |
✔ Compatible | compare_substrate() |
drift() |
✔ Compatible | invert_drift() |
detect_divergence() |
✔ Compatible | detect_substrate_shift() |
drift_tensor() |
✔ Input Only | substrate_tensor() |
align_coherence() |
✔ Compatible | align_substrate_coherence() |
cross_system() |
✔ Compatible | cross_substrate() |
RTT/∞ Operators → IPD‑12 Compatibility#
| RTT/∞ Operator | IPD‑12 Compatibility | Reason |
|---|---|---|
substrate() |
✖ Not Compatible | IPD‑12 does not operate on substrate layers |
invert() |
✖ Not Compatible | IPD‑12 cannot invert drift or regimes |
vacuum() |
✖ Not Compatible | IPD‑12 does not operate on vacuum layers |
dimensional_synthesize() |
✖ Not Compatible | IPD‑12 is not dimensional |
infinite_blend() |
✖ Not Compatible | IPD‑12 cannot blend infinite regimes |
substrate_tensor() |
✖ Not Compatible | IPD‑12 cannot compute substrate tensors |
3. Module Boundary Matrix#
IPD‑12 Modules → RTT/∞#
| IPD‑12 Module | RTT/∞ Compatibility | RTT/∞ Equivalent |
|---|---|---|
| Drift Detection | ✔ Compatible | Substrate Drift Detection |
| Drift‑Tensor | ✔ Input Only | Substrate Tensor Layer |
| Process Mapping | ✔ Compatible | Substrate Mapping |
| Coherence Alignment | ✔ Compatible | Substrate Coherence Layer |
| Cross‑System Pack | ✔ Compatible | Cross‑Substrate Pack |
| Domain Drift Packs | ✔ Compatible | Domain‑Substrate Synthesis |
| Composite Drift Analyzer | ✔ Compatible | Infinite‑Domain Analyzer |
RTT/∞ Modules → IPD‑12#
| RTT/∞ Module | IPD‑12 Compatibility | Reason |
|---|---|---|
| Substrate Engine | ✖ | IPD‑12 cannot access substrate grammar |
| Inversion Layer | ✖ | IPD‑12 cannot invert drift or regimes |
| Vacuum Layer | ✖ | IPD‑12 cannot operate in vacuum logic |
| Dimensional Layer | ✖ | IPD‑12 is not dimensional |
| Infinite‑Regime Layer | ✖ | IPD‑12 is not composite or infinite |
4. Structural Boundary#
Compatible Structural Elements#
- structural capture
- process identity
- boundaries
- layers
- operational flow
- coherence baselines
- drift maps
- drift‑tensor layers
- cross‑system relationships
- structural paradoxes
Incompatible Structural Elements#
- substrate layers
- inversion layers
- vacuum layers
- dimensional layers
- infinite‑regime composites
- refractive substrate logic
- substrate‑aware operators
IPD‑12 cannot cross into substrate or dimensional layers.
5. Regime Boundary#
| Regime Layer | IPD‑12 | RTT/∞ | Compatibility |
|---|---|---|---|
| Surface | ✔ | ✔ | Full |
| Mid | ✔ | ✔ | Full |
| Deep | ✔ | ✔ | Full |
| Composite | ✖ | ✔ | None |
| Substrate | ✖ | ✔ | None |
| Dimensional | ✖ | ✔ | None |
| Vacuum | ✖ | ✔ | None |
| Infinite | ✖ | ✔ | None |
RTT/∞ spans all layers, including substrate and dimensional.
IPD‑12 spans only up to deep regime.
6. Drift → Substrate Mapping#
IPD‑12 drift layers map into RTT/∞ substrate layers:
| IPD‑12 Drift Layer | RTT/∞ Substrate Layer |
|---|---|
| Geometric Drift | Structural Substrate |
| Operational Drift | Process Substrate |
| Temporal Drift | Temporal Substrate |
| Conceptual Drift | Interpretive Substrate |
| Domain Drift | Cross‑Substrate Layer |
RTT/∞ can invert, blend, and synthesize these layers.
IPD‑12 cannot.
7. Paradox Boundary#
IPD‑12 identifies structural paradoxes.
RTT/∞ resolves substrate paradoxes, dimensional paradoxes, and infinite paradoxes.
| Paradox Type | IPD‑12 | RTT/∞ | Compatibility |
|---|---|---|---|
| Structural | ✔ Detect | ✔ Resolve | Full |
| Regime | ✖ | ✔ | None |
| Dimensional | ✖ | ✔ | None |
| Substrate | ✖ | ✔ | None |
| Infinite | ✖ | ✔ | None |
8. Summary#
IPD‑12 is compatible with RTT/∞ for:#
- structural capture
- drift detection
- drift‑tensor input
- coherence alignment
- cross‑system mapping
- paradox identification
- multi‑domain drift
IPD‑12 is NOT compatible with RTT/∞ for:#
- substrate grammar
- inversion operators
- vacuum‑layer logic
- dimensional synthesis
- infinite‑regime blending
- substrate mapping
RTT/∞ extends IPD‑12 by:#
- operating across substrate and dimensional layers
- resolving paradoxes at infinite depth
- blending drift into substrate tensors
- synthesizing across infinite regimes
Together, IPD‑12 and RTT/∞ form the drift → substrate → infinite synthesis pipeline of the RTT canon.