prime_state_dimensional_profiles.md

IPD‑12 Prime‑State Dimensional Profiles
Dimensional Roles • Cycle Behavior • Substrate Coordinates
Module: IPD‑12 Framework
Version: 2026‑1.0
Role: Dimensional / Identity / Operator Profiles

1. Purpose#

This document defines the dimensional identity of each of the 12 prime‑indexed operator states in the IPD‑12 engine.

Each profile includes:

• Dimensional role (lift, collapse, neutral, gate)
• RTT regime behavior
• GU geometric interpretation
• Pantheon tier alignment
• Cycle membership (triad, hex, full loop)
• Substrate coordinates (Si, Oj, Rk)
• Observer stance effects

This is the most detailed per‑prime operator profile in the IPD‑12 canon.

2. Prime‑State Profiles (12)#

P2 — Seed State#

Dimensional Role: Neutral (0D)
RTT: Entry point into Regime‑1
GU: Connection (seed geometry)
Pantheon: Celestial
Cycle Membership: Triad 1, Hex 1, Full 12‑cycle
Substrate Signature: S1‑dominant, O1/O2, R2
Observer Effect:

• O1: perceives raw seed
• O2: identifies cycle entry
• O3: stabilizes drift
• O4: prepares lift

P3 — Transition Lift#

Dimensional Role: Lift (+1D)
RTT: Transition operator
GU: Connection → Curvature bridge
Pantheon: Celestial
Cycle Membership: Triad 1, Hex 1, Full
Substrate Signature: S1/S2, O1/O2, R2
Observer Effect:

• O1: detects lift potential
• O2: marks cycle advancement
• O3: stabilizes transition
• O4: amplifies lift

P5 — Drift Collapse#

Dimensional Role: Collapse (−1D)
RTT: Drift anchor
GU: Connection collapse
Pantheon: Celestial
Cycle Membership: Triad 1, Hex 1, Full
Substrate Signature: S2‑dominant, O3, R1
Observer Effect:

• O1: perceives drift
• O2: identifies cycle slowdown
• O3: collapse stabilization
• O4: collapse → lift inversion

P7 — Regime Lift#

Dimensional Role: Lift (+1D)
RTT: Regime‑shift operator
GU: Curvature lift
Pantheon: Celestial
Cycle Membership: Triad 2, Hex 1, Full
Substrate Signature: S1/S2, O2/O4, R2
Observer Effect:

• O1: detects regime shift
• O2: cycle shell transition
• O3: coherence stabilization
• O4: dimensional lift

P11 — Coherence Node#

Dimensional Role: Neutral (0D)
RTT: Coherence stabilizer
GU: Dilaton / Refractive vacuum
Pantheon: Civilizational
Cycle Membership: Triad 2, Hex 1, Full
Substrate Signature: S3, O3, R1
Observer Effect:

• O1: perceives stability
• O2: cycle anchoring
• O3: coherence field
• O4: apex stabilization

P13 — Paradox Collapse#

Dimensional Role: Collapse (−1D)
RTT: Paradox trigger
GU: Anomaly
Pantheon: Civilizational
Cycle Membership: Triad 2, Hex 1, Full
Substrate Signature: S3/S4, O3, R2
Observer Effect:

• O1: detects paradox tension
• O2: cycle inversion
• O3: collapse stabilization
• O4: paradox → apex transition

P17 — Cycle Gate#

Dimensional Role: Gate (0D)
RTT: Boundary gate
GU: Observerse
Pantheon: Civilizational
Cycle Membership: Triad 3, Hex 2, Full
Substrate Signature: S4, O2/O3, R3
Observer Effect:

• O1: perceives gate
• O2: cycle shell entry
• O3: boundary stabilization
• O4: gate → lift transition

P19 — Boundary Node#

Dimensional Role: Neutral (0D)
RTT: Boundary operator
GU: Observerse
Pantheon: Civilizational
Cycle Membership: Triad 3, Hex 2, Full
Substrate Signature: S4, O2/O3, R3
Observer Effect:

• O1: boundary detection
• O2: shell navigation
• O3: coherence boundary
• O4: boundary → lift

P23 — Dimensional Lift#

Dimensional Role: Lift (+1D)
RTT: Dimensional lift
GU: Observerse → Apex bridge
Pantheon: Chthonic
Cycle Membership: Triad 3, Hex 2, Full
Substrate Signature: S3/S4, O4, R3/R4
Observer Effect:

• O1: perceives lift potential
• O2: shell transition
• O3: stabilizes lift
• O4: executes lift

P29 — Collapse Anchor#

Dimensional Role: Collapse (−1D)
RTT: Collapse operator
GU: Collapse geometry
Pantheon: Chthonic
Cycle Membership: Triad 4, Hex 2, Full
Substrate Signature: S4, O3, R4
Observer Effect:

• O1: detects collapse
• O2: cycle contraction
• O3: collapse stabilization
• O4: collapse → apex transition

P31 — Stability Collapse#

Dimensional Role: Collapse (−1D)
RTT: Stability operator
GU: Refractive vacuum
Pantheon: Chthonic
Cycle Membership: Triad 4, Hex 2, Full
Substrate Signature: S3/S4, O3, R1/R4
Observer Effect:

• O1: perceives stability
• O2: cycle anchoring
• O3: collapse stabilization
• O4: apex stabilization

P37 — Apex Lift#

Dimensional Role: Lift (+1D)
RTT: Apex paradox resolution
GU: Apex anomaly
Pantheon: Chthonic Apex
Cycle Membership: Triad 4, Hex 2, Full
Substrate Signature: S3/S4, O4, R4
Observer Effect:

• O1: perceives apex
• O2: apex cycle position
• O3: apex coherence
• O4: executes apex lift

3. Summary#

This document provides the complete dimensional identity of all 12 IPD‑12 prime states, including:

• dimensional roles
• RTT/GU/Pantheon mappings
• cycle membership
• substrate coordinates
• observer effects

Together, these profiles form the dimensional backbone of the IPD‑12 engine.