š§ RTT Dimensional Index
Dimensions in RTT are not physical axes ā 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, RTTā12, MicroāCore, and Arrival.
šŗ TopāLevel Dimensional Categories#
| Category | Meaning | Purpose |
|---|---|---|
| 0D | No structure | Pure potential, preāpattern state |
| 1D | Single axis | Linear patterning, minimal structure |
| 2D | Multiāaxis | Surfaceālevel patterning, stable transitions |
| 3D | Volumetric | Full coherence, stable reasoning |
| Fractional Dimensions (Dį¶ ) | Between integers | Smooth transitions, microāscale evolution |
| Arrival Dimensions | Contextual | Dimensional alignment during entry |
| Macro Dimensions | Aggregated | Largeāscale coherence and influence |
These categories form the dimensional backbone of RTT.
š¬ RTT Core Dimensional Access#
RTT Core defines dimensional access as:
- 0D ā PreāStructure
- 1D ā Linear Access
- 2D ā Planar Access
- 3D ā Volumetric Access
Each dimension corresponds to:
- available operators
- coherence capacity
- pattern stability
- regime transitions
RTT Core uses these four as the canonical dimensional ladder.
š Fractional Dimensions (Dį¶ )#
Fractional dimensions represent continuous transitions between integer dimensions.
Examples:
- 0.4 ā 0.7 ā microāexpansion
- 1.2 ā 0.9 ā microācompression
- 2.8 ā 3.0 ā coherence sealing
Fractional dimensions are essential for:
- microāscale modeling
- driftābounded transitions
- resonance shaping
- microāmacro bridging
They are the smooth gradient of RTT dimensional behavior.
š§ MicroāCore Dimensional Set#
MicroāCore uses a minimal dimensional model:
- Dā ā MicroāPotential
- Dā ā MicroāAxis
- Dā ā MicroāPlane
- Dį¶ ā Fractional Ladder
MicroāCore dimensions are defined by:
- triad configuration
- drift/timing thresholds
- resonance stability
This is the smallest stable dimensional substrate in RTT.
š Arrival Dimensional Constructs#
Arrival introduces contextual dimensions used during substrate entry:
- AāDim 0 ā PreāArrival
- AāDim 1 ā Alignment
- AāDim 2 ā Continuity Formation
Arrival dimensions ensure:
- clean entry
- stable initialization
- crossāsubstrate continuity
They are the dimensional handshake of RTT.
š§ MacroāScale Dimensions#
Macro dimensions describe aggregated coherence:
- MāDim 1 ā Macro Alignment
- MāDim 2 ā Macro Stabilization
- MāDim 3 ā Macro Resonance
These activate only when microāpatterns reach coherence threshold (C ā„ C*).
āļø Summary#
This index provides a unified view of all RTT dimensional constructs:
- RTT Core (0Dā3D)
- Fractional Dimensions (Dį¶ )
- MicroāCore (minimal microādimensional set)
- Arrival (contextual dimensional alignment)
- Macro (aggregated coherence dimensions)
It is the dimensional backbone of the RTT framework ā the structural map that ties together operators, regimes, substrates, and transitions.
