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Coherence Tensor Profiles — RTT/1

Profile Dictionary for the Coherence Tensor Engine (CTE)#

Coherence tensor profiles define the canonical shapes, behaviors, stability envelopes, and collapse geometries of coherence tensors across conceptual, computational, physical, and dimensional regimes.

These profiles are used by:

  • CTE‑Compute
  • CTE‑Tensor
  • CTE‑Gradient
  • CTE‑Field
  • CTE‑Collapse
  • CTE‑Stabilize

Each profile includes:

  • definition
  • tensor signature
  • field behavior
  • gradient behavior
  • collapse geometry
  • stability envelope
  • canonical CTE output pattern

1. Structural Coherence Profiles#

Profile: Structural Invariant Tensor#

Definition
Coherence arising from structural invariants (symmetry, conservation, monotonicity).

Tensor Signature

  • medium‑high magnitude
  • stable direction
  • low curvature

Field Behavior

  • narrow field
  • shallow coherence ridge

Gradient Behavior

  • low drift sensitivity
  • high alignment

Collapse Geometry

  • no collapse point
  • rigid boundary

Stability Envelope

  • high stability

Profile: Structural Constraint Tensor#

Definition
Coherence enforced by computational or physical constraints.

Tensor Signature

  • medium magnitude
  • constraint‑aligned direction
  • medium curvature

Field Behavior

  • moderate field width
  • constraint ridge

Gradient Behavior

  • medium drift sensitivity

Collapse Geometry

  • shallow collapse basin

Stability Envelope

  • medium‑high stability

2. Gradient Coherence Profiles#

Profile: Coherence Gradient Alignment#

Definition
Coherence gradients across regimes align, forming a coherence ridge.

Tensor Signature

  • high magnitude
  • bidirectional vector
  • medium curvature

Field Behavior

  • wide field
  • ridge formation

Gradient Behavior

  • high alignment
  • medium drift sensitivity

Collapse Geometry

  • no collapse point

Stability Envelope

  • high stability

Profile: Drift‑Sensitive Coherence Gradient#

Definition
Drift curvature influences coherence gradients.

Tensor Signature

  • medium‑high magnitude
  • drift‑aligned direction
  • high curvature

Field Behavior

  • medium‑wide field
  • drift ridge

Gradient Behavior

  • high drift sensitivity

Collapse Geometry

  • medium collapse basin

Stability Envelope

  • medium stability

3. Boundary Coherence Profiles#

Profile: Abstraction‑Boundary Tensor#

Definition
Coherence forms at the boundary between conceptual abstraction and physical measurement.

Tensor Signature

  • medium magnitude
  • abstraction → measurement direction
  • medium curvature

Field Behavior

  • narrow field
  • boundary ridge

Gradient Behavior

  • medium alignment

Collapse Geometry

  • shallow basin

Stability Envelope

  • medium‑high stability

Profile: Gradient‑Boundary Tensor#

Definition
Aligned gradients across regimes produce boundary coherence.

Tensor Signature

  • high magnitude
  • aligned direction
  • medium curvature

Field Behavior

  • wide field
  • alignment ridge

Gradient Behavior

  • high alignment

Collapse Geometry

  • medium‑deep basin

Stability Envelope

  • medium stability

4. Tensor‑Field Coherence Profiles#

Profile: Multi‑Regime Coherence Tensor#

Definition
A multi‑regime tensor binds coherence across R1–R3 or R1–R4.

Tensor Signature

  • very high magnitude
  • tensor direction
  • high curvature

Field Behavior

  • wide field
  • tensor topology

Gradient Behavior

  • high alignment
  • medium drift sensitivity

Collapse Geometry

  • deep basin

Stability Envelope

  • high stability

Profile: Dimensional Tensor Constraint#

Definition
Dimensional tensors constrain computational coherence pathways.

Tensor Signature

  • high magnitude
  • dimensional → computational direction
  • medium‑high curvature

Field Behavior

  • medium‑wide field
  • tensor trough

Gradient Behavior

  • medium alignment

Collapse Geometry

  • medium‑deep basin

Stability Envelope

  • medium‑high stability

5. Collapse‑Point Coherence Profiles#

Profile: Coherence Collapse Basin#

Definition
Drift amplification creates a coherence collapse basin.

Tensor Signature

  • very high magnitude
  • drift‑aligned direction
  • high curvature

Field Behavior

  • wide field
  • collapse basin

Gradient Behavior

  • high drift sensitivity

Collapse Geometry

  • deep collapse basin
  • instability ridge

Stability Envelope

  • low stability

Profile: Coherence Collapse Ridge#

Definition
Coherence decreases in one regime while sensitivity increases in another.

Tensor Signature

  • medium‑high magnitude
  • inversion direction
  • medium‑high curvature

Field Behavior

  • medium field
  • collapse ridge

Gradient Behavior

  • medium drift sensitivity

Collapse Geometry

  • medium‑deep basin

Stability Envelope

  • medium stability

6. Canonical CTE Output Pattern#

{
  "tensor_type": "gradient",
  "regime": "R1-R4",
  "tensor_magnitude": 0.83,
  "tensor_direction": "R1↔R4",
  "coherence_curvature": 0.52,
  "collapse_point": null,
  "stability_envelope": 0.79,
  "gradient_alignment": 0.88
}

Status#

  • Version: 1.0
  • Status: canon‑stable
  • Category: rtt‑structural
  • Module Path: /docs/rtt/Coherence_Tensor_Engine/

Updated

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