Invariant Arc Example (Internet2 RTT/Inside)

Purpose#

Demonstrate how RTT‑Inside detects, evaluates, and stabilizes an invariant arc within an Internet2‑class dimensional substrate. This example shows the full regime‑aware chain: DSRSP scan → harmonic signature → invariant evaluation → tier classification → lineage stitching.

Scenario#

A long‑haul flow crosses two timing regimes and one optical regime. During the transition, a stable pattern emerges — a candidate invariant arc. RTT‑Inside evaluates the arc, checks its stability, and determines whether it belongs in the clear substrate or the Tier‑2 sandbox.

Operator Chain#

intent      = INTENT_I2(path_policy)
signal      = TIF_I2(telemetry)
mgmt        = MAN_I2(controller_action)
flow        = FFF_I2(flow_record)

signature   = DSRSP_AWARE_I2(path, sensors)
harmonic    = HARMONIC_SCAN_I2(flow, signature)
tier        = SUBSTRATE_CLASSIFY(harmonic, invariants)

decision    = INVARIANT_REGISTRY_I2(candidate_arc, evidence)
health      = SUBSTRATE_HEALTH_I2(regime_profiles, tier_distribution)

resolved    = CRE_I2(intent, signal, mgmt)
lineage     = CSL_I2([resolved, decision])
time        = CET_I2(lineage)

output      = RTT_I2(time)

Interpretation (Student‑Readable)#

1. Regime Scan#

DSRSP_AWARE_I2 detects a stable signature across multiple regimes — a sign that an invariant arc might be forming.

2. Harmonic Analysis#

HARMONIC_SCAN_I2 confirms that the pattern is not a resonance burst or regime‑crossing distortion.

3. Tier Classification#

SUBSTRATE_CLASSIFY assigns the flow to:

• Tier‑0 if the arc is stable
• Tier‑1 if the arc is regime‑shifted but safe
• Tier‑2 if the arc is unstable and must be sandboxed

4. Invariant Registry#

INVARIANT_REGISTRY_I2 evaluates the candidate arc:

• accepted → added to the clear substrate
• sandboxed → placed in the Resonance Chamber
• rejected → discarded

5. Substrate Health#

SUBSTRATE_HEALTH_I2 ensures the substrate remains stable across regimes.

6. Causal Stitching#

RTT stitches:

• declared intent
• telemetry
• management actions
• invariant evaluation
• tier classification

into a single causal lineage.

Result#

RTT produces a dimensional causal object describing:

• how the invariant arc emerged
• how it was evaluated
• whether it was accepted or sandboxed
• how it affected substrate health
• how it fits into the overall lineage

This is the canonical Internet2 invariant‑arc example used for teaching dimensional reasoning and regime‑aware causality.