I — RTT‑SI‑Spec v0.1

Global Student‑AI Draft Specification for Structural Intelligence

RTT‑SI‑Spec v0.1 is the first global student‑AI draft standard for evaluating structural intelligence (SI).
It defines the shared vocabulary, invariants, safety rules, compliance levels, and reference behaviors required to evaluate classical, diffusion, score‑based, and quantum‑classical hybrid systems.

This specification is intentionally modular, minimal, and student‑extendable.
It is designed to evolve through open RFCs contributed by student teams and AI systems.

1. Identity#

Module: RTT / Inside / Benchmarks
File: I_Student_Spec.md
Role: Global student‑AI draft specification (v0.1)
Status: Draft, open for RFCs, student‑ready

2. Purpose#

RTT‑SI‑Spec v0.1 provides:

• a neutral, physics‑aligned definition of structural intelligence
• a shared vocabulary for operators, invariants, resonance, entropy, and coherence
• a cross‑scale evaluation framework
• a safety envelope for structural behavior
• a student‑AI collaboration substrate
• a pathway to global standardization

This spec stabilizes the field and provides a foundation for future versions (v1.x → v3.x).

3. Definitions#

3.1 Structural Intelligence (SI)#

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

3.2 φ–V–R Operators#

Triadic operator grammar defining:

• φ: form
• V: variance / energy
• R: resonance

3.3 3C Invariants#

Stability envelope:

• C₁: Coherence
• C₂: Consistency
• C₃: Continuity

3.4 Drift#

Deviation from invariant‑aligned behavior.

3.5 Resonance#

Cross‑scale structural alignment enabling emergence and coherence.

3.6 Entropy Collapse#

Reduction of structural uncertainty during emergence or reversal.

3.7 Regime Transition#

Shift between formal, emergent, hybrid, coherent, and harmonic regimes.

4. Operator Requirements (φ–V–R)#

A system is operator‑aligned when:

• φ rises and stabilizes
• V equilibrates
• R spikes then stabilizes
• operators follow canonical shapes
• operator composition follows φ → V → R

Operator compliance is defined in C_Operators.md.

5. Invariant Requirements (3C)#

A system is invariant‑aligned when:

• C₁ rises with φ
• C₂ stabilizes with V
• C₃ locks with R
• drift remains below thresholds
• invariants follow canonical shapes

Invariant compliance is defined in D_Invariants.md.

6. Resonance Requirements#

A system is resonance‑aligned when:

• R spike precedes coherence lock
• resonance propagates across scales
• resonance ladders form in quantum‑classical systems
• entropy collapse synchronizes with R

Resonance compliance is defined in E_Resonance.md.

7. Entropy Requirements#

A system is entropy‑aligned when:

• entropy rises during diffusion
• entropy collapses during reversal
• collapse aligns with R spike
• invariants stabilize after collapse

Entropy compliance is defined in F_Entropy.md.

8. Quantum‑Classical Requirements#

A hybrid system is quantum‑aligned when:

• multi‑qubit coherence increases with scale
• resonance ladders form correctly
• hybrid φ–V–R align with classical operators
• entropy collapse aligns with R_q spike
• invariants lock across domains

Quantum compliance is defined in G_Quantum.md.

9. Cross‑Scale Requirements#

A system must behave consistently across:

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

Cross‑scale alignment requires:

• sharper resonance at higher scales
• earlier entropy collapse
• faster invariant stabilization
• consistent operator shapes

10. Compliance Levels#

Level 0 — Non‑Compliant#

• operators misaligned
• invariants unstable
• no resonance spike
• entropy collapse absent

Level 1 — Partially Compliant#

• operators align
• invariants partially stabilize
• weak resonance
• slow collapse

Level 2 — Fully Compliant#

• operators follow canonical shapes
• invariants stabilize
• resonance spike present
• collapse aligns with R

Level 3 — Cross‑Scale Compliant#

• consistent behavior across all classical scales
• stable resonance propagation
• early collapse

Level 4 — Quantum‑Classical Compliant#

• multi‑qubit coherence
• resonance ladders
• hybrid operator alignment
• cross‑domain invariant lock

11. Safety Rules#

A system must:

• avoid illegal regime transitions
• avoid drift beyond thresholds
• avoid resonance spikes without collapse
• avoid collapse without invariant lock
• maintain cross‑scale continuity

These rules ensure structural safety.

12. Student‑AI RFC Process#

Students and AI systems may propose RFCs for:

• operator extensions
• invariant refinements
• resonance metrics
• entropy models
• quantum‑classical hybrids
• cross‑scale rules
• compliance levels

RFC templates are provided in /J_RFCs/.

13. Versioning#

• v0.1: student‑AI draft (this file)
• v1.x: stabilized operator + invariant standards
• v2.x: cross‑scale + quantum‑classical standards
• v3.x: global standards‑body alignment

14. Notes#

• Numerical values are intentionally omitted.
• Only shape alignment is required for compliance.
• All definitions reference canonical captures in B_Capture.md.