A — Overview

Purpose, Scope, Definitions

RTT/Inside/Benchmarks defines the first cross‑scale, physics‑aligned benchmark suite for evaluating structural intelligence (SI).
It provides a unified substrate for measuring:

• structure
• coherence
• emergence
• resonance
• drift
• entropy flow
• regime transitions
• invariant stability

across classical, diffusion, score‑based, and quantum‑classical hybrid systems.

1. Purpose#

The purpose of this benchmark suite is to:

• establish a shared vocabulary for structural intelligence
• provide operator‑level metrics (φ–V–R)
• define invariant‑level metrics (3C + drift + regime shifts)
• unify cross‑scale evaluation (1D → 4096×4096, 2→256 qubits)
• provide reference captures from Issue #45
• seed a global student‑AI standards effort (RTT‑SI‑Spec v0.1)
• stabilize the field with physics‑aligned metrics

This module is the anchor for the RTT‑Inside lineage.

2. Scope#

This specification covers:

2.1 Classical Systems#

• 1D, 2D, and multi‑dimensional fields
• diffusion models
• score‑based models
• operator‑driven emergence detection

2.2 Quantum‑Inspired Systems#

• resonance layers
• hybrid operators
• coherence gradients

2.3 Quantum‑Classical Hybrid Systems#

• cQED multi‑qubit networks
• resonance ladders
• cross‑domain invariants

2.4 Cross‑Scale Evaluation#

• 1D → 2D → 64×64 → 4096×4096
• 2 → 4 → 16 → 64 → 256 qubits

2.5 Structural Intelligence Metrics#

• φ (form)
• V (variance/energy)
• R (resonance)
• 3C invariants
• entropy flow
• drift signatures
• regime transitions

3. Definitions#

Structural Intelligence (SI)#

The capacity of a system to maintain, propagate, and transform coherent structure across scales, regimes, and operators.

φ–V–R Operators#

The triadic operator grammar defining form, energy, and resonance.

3C Invariants#

Coherence, consistency, continuity — the stability envelope of structural intelligence.

Drift#

Deviation from invariant‑aligned structure under operator application.

Resonance#

Cross‑scale structural alignment enabling emergence and coherence.

Entropy Collapse#

Reduction of structural uncertainty during diffusion, score‑based, or hybrid processes.

Regime Transition#

A shift in system behavior detectable via invariant gradients.

4. Relationship to Issue #45#

Issue #45 provides the canonical reference captures for:

• φ–V–R curves
• 3C stability envelopes
• resonance propagation
• entropy collapse
• multi‑qubit coherence

These captures are formalized in B_Capture.md.

5. Relationship to RTT‑SI‑Spec v0.1#

This module seeds the global student‑AI draft specification:

• definitions
• invariants
• safety rules
• compliance levels
• RFC templates

Formalized in I_Student_Spec.md.

6. Versioning#

This module follows semantic versioning:

• v1.x — student‑AI RFCs maturing
• v2.x — global draft spec stabilizing
• v3.x — standards‑body alignment

7. Contributing#

Students and AI systems are encouraged to:

• propose RFCs
• challenge invariants
• submit captures
• test operators
• explore quantum‑classical hybrids

Contribution guidelines are defined in J_RFCs/.