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Temporal Transition Profiles — RTT/1

Profile Dictionary for the Temporal Regime Sequencer (TRS‑Temporal)#

Temporal transition profiles define the canonical shapes, gradient behaviors, instability geometries, vector flows, and temporal‑field interactions across conceptual, computational, physical, and dimensional regimes.

These profiles are used by:

  • TRS‑Seq
  • TRS‑Gradient
  • TRS‑Field
  • TRS‑Instability
  • TRS‑Transition
  • TRS‑Stabilize

Each profile includes:

  • definition
  • temporal signature
  • gradient behavior
  • field behavior
  • instability geometry
  • transition behavior
  • stability envelope
  • canonical TRS‑Temporal output pattern

1. Temporal Signature Profiles#

Profile: Conceptual Temporal Signature#

Definition
A temporal onset formed by conceptual coherence and low‑frequency temporal structures.

Temporal Signature

  • low magnitude
  • stable polarity
  • shallow curvature

Gradient Behavior

  • low gradient sensitivity
  • narrow gradient band

Field Behavior

  • narrow temporal field
  • shallow ridge

Instability Geometry

  • shallow instability zone

Transition Behavior

  • stable transition boundary

Stability Envelope

  • high stability

Profile: Dimensional Temporal Signature#

Definition
A temporal onset formed by dimensional constraints and high‑sensitivity temporal polarity.

Temporal Signature

  • medium‑high magnitude
  • dimensional polarity
  • medium curvature

Gradient Behavior

  • medium gradient sensitivity
  • wide gradient band

Field Behavior

  • medium‑wide field
  • dimensional ridge

Instability Geometry

  • medium instability depth

Transition Behavior

  • medium transition boundary

Stability Envelope

  • medium stability

2. Temporal Gradient Profiles#

Profile: Harmonic Temporal Gradient#

Definition
A stable harmonic temporal gradient formed by computational structures.

Temporal Signature

  • medium magnitude
  • harmonic polarity
  • medium curvature

Gradient Behavior

  • stable harmonic band
  • low drift sensitivity

Field Behavior

  • narrow field
  • harmonic ridge

Instability Geometry

  • shallow instability zone

Transition Behavior

  • stable transition boundary

Stability Envelope

  • medium‑high stability

Profile: Gradient Inversion#

Definition
A temporal gradient formed when stability decreases in one regime while increasing in another.

Temporal Signature

  • medium‑high magnitude
  • inversion polarity
  • polarity flip

Gradient Behavior

  • inversion band
  • high drift sensitivity

Field Behavior

  • medium field width
  • inversion curvature

Instability Geometry

  • medium‑deep instability zone

Transition Behavior

  • unstable transition boundary

Stability Envelope

  • medium‑low stability

3. Temporal Field Profiles#

Profile: Multi‑Regime Temporal Field#

Definition
A multi‑regime temporal tensor binding temporal pathways across R1–R3 or R1–R4.

Temporal Signature

  • very high magnitude
  • tensor polarity
  • high curvature

Gradient Behavior

  • wide harmonic band
  • multi‑regime sensitivity

Field Behavior

  • wide temporal field
  • tensor topology

Instability Geometry

  • deep instability zone

Transition Behavior

  • wide transition boundary

Stability Envelope

  • medium‑high stability

Profile: Dimensional Temporal Constraint#

Definition
Dimensional constraints influence computational temporal pathways.

Temporal Signature

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

Gradient Behavior

  • medium harmonic band
  • dimensional sensitivity

Field Behavior

  • medium‑wide field
  • tensor trough

Instability Geometry

  • medium‑deep instability zone

Transition Behavior

  • medium transition boundary

Stability Envelope

  • medium stability

4. Temporal Instability Profiles#

Profile: Drift‑Amplified Temporal Instability#

Definition
Physical drift amplifies temporal curvature, forming a drift‑sensitive instability zone.

Temporal Signature

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

Gradient Behavior

  • high harmonic sensitivity
  • drift‑wide band

Field Behavior

  • wide drift field
  • drift ridge

Instability Geometry

  • deep instability seam

Transition Behavior

  • unstable transition boundary

Stability Envelope

  • low stability

Profile: Stability‑Coherence Temporal Ridge#

Definition
Computational stability reduces coherence while physical stability increases temporal sensitivity.

Temporal Signature

  • high magnitude
  • coherence‑aligned polarity
  • medium‑high curvature

Gradient Behavior

  • medium harmonic band
  • coherence sensitivity

Field Behavior

  • medium‑wide field
  • resonance ridge

Instability Geometry

  • medium‑deep instability zone

Transition Behavior

  • medium transition boundary

Stability Envelope

  • medium stability

5. Temporal Transition Profiles#

Profile: Cross‑Domain Temporal Transition#

Definition
A temporal transition formed between conceptual and dimensional regimes.

Temporal Signature

  • high magnitude
  • cross‑domain polarity
  • medium‑high curvature

Gradient Behavior

  • medium harmonic band
  • cross‑domain sensitivity

Field Behavior

  • wide field
  • bridge topology

Instability Geometry

  • medium instability depth

Transition Behavior

  • medium‑wide transition boundary

Stability Envelope

  • medium‑high stability

Profile: Drift‑Sensitive Temporal Transition#

Definition
Physical drift amplifies temporal curvature, forming a drift‑sensitive temporal transition.

Temporal Signature

  • very high magnitude
  • drift polarity
  • high curvature

Gradient Behavior

  • high harmonic sensitivity
  • drift‑wide band

Field Behavior

  • wide drift field
  • drift ridge

Instability Geometry

  • deep instability zone

Transition Behavior

  • unstable transition boundary

Stability Envelope

  • low stability

6. Canonical TRS‑Temporal Output Pattern#

{
  "temporal_type": "transition",
  "regime": "R1-R4",
  "temporal_magnitude": 0.83,
  "temporal_direction": "R1↔R4",
  "temporal_curvature": 0.52,
  "instability_depth": 0.22,
  "temporal_field": 0.69,
  "transition_boundary": 0.46
}

Status#

  • Version: 1.0
  • Status: canon‑stable
  • Category: rtt‑temporal
  • Module Path: /docs/rtt/Temporal_Regime_Sequencer/

Updated