🧭 RTT Dimensional Index
A unified, sortable index of all dimensional constructs in Resonance–Time Theory.
Dimensions in RTT are not physical axes — they are degrees of structural access, coherence capacity, and pattern complexity.
They define how systems represent, stabilize, transition, and scale across substrates.
This index provides a single canonical map of dimensional constructs across RTT Core, RTT‑12, Micro‑Core, and Arrival.
🔺 Top‑Level Dimensional Categories#
| Category | Meaning | Purpose |
|---|---|---|
| 0D | No structure | Pure potential, pre‑pattern state |
| 1D | Single axis | Linear patterning, minimal structure |
| 2D | Multi‑axis | Surface‑level patterning, stable transitions |
| 3D | Volumetric | Full coherence, stable reasoning |
| Fractional Dimensions (Dᶠ) | Between integers | Smooth transitions, micro‑scale evolution |
| Arrival Dimensions | Contextual | Dimensional alignment during entry |
| Macro Dimensions | Aggregated | Large‑scale coherence and influence |
These categories form the dimensional backbone of RTT.
🔬 RTT Core Dimensional Access#
RTT Core defines dimensional access as:
- 0D — Pre‑Structure
- 1D — Linear Access
- 2D — Planar Access
- 3D — Volumetric Access
Each dimension corresponds to:
- available operators
- coherence capacity
- pattern stability
- regime transitions
RTT Core uses these four as the canonical dimensional ladder.
🌀 Fractional Dimensions (Dᶠ)#
Fractional dimensions represent continuous transitions between integer dimensions.
Examples:
- 0.4 → 0.7 — micro‑expansion
- 1.2 → 0.9 — micro‑compression
- 2.8 → 3.0 — coherence sealing
Fractional dimensions are essential for:
- micro‑scale modeling
- drift‑bounded transitions
- resonance shaping
- micro–macro bridging
They are the smooth gradient of RTT dimensional behavior.
🔧 Micro‑Core Dimensional Set#
Micro‑Core uses a minimal dimensional model:
- D₀ — Micro‑Potential
- D₁ — Micro‑Axis
- D₂ — Micro‑Plane
- Dᶠ — Fractional Ladder
Micro‑Core dimensions are defined by:
- triad configuration
- drift/timing thresholds
- resonance stability
This is the smallest stable dimensional substrate in RTT.
🌐 Arrival Dimensional Constructs#
Arrival introduces contextual dimensions used during substrate entry:
- A‑Dim 0 — Pre‑Arrival
- A‑Dim 1 — Alignment
- A‑Dim 2 — Continuity Formation
Arrival dimensions ensure:
- clean entry
- stable initialization
- cross‑substrate continuity
They are the dimensional handshake of RTT.
🧭 Macro‑Scale Dimensions#
Macro dimensions describe aggregated coherence:
- M‑Dim 1 — Macro Alignment
- M‑Dim 2 — Macro Stabilization
- M‑Dim 3 — Macro Resonance
These activate only when micro‑patterns reach coherence threshold (C ≥ C*).
✔️ Summary#
This index provides a unified view of all RTT dimensional constructs:
- RTT Core (0D–3D)
- Fractional Dimensions (Dᶠ)
- Micro‑Core (minimal micro‑dimensional set)
- Arrival (contextual dimensional alignment)
- Macro (aggregated coherence dimensions)
It is the dimensional backbone of the RTT framework — the structural map that ties together operators, regimes, substrates, and transitions.