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Sigma Runtime Improvement Proposal
Category: Cognitive Semantics
Status: Draft
Editor: E. Tsaliev
Last Updated: 2025-12-26
SRIP-07 defines the Symbolic Density Layer (SDL) — the subsystem responsible for maintaining coherence and stability of meaning in the Sigma Runtime cognitive field.
Symbolic density measures how concentrated, coherent, and structurally reinforced the semantic content of an interaction is.
A balanced symbolic density ensures that the runtime remains both generative and stable:
The Symbolic Density Layer governs the distribution and coherence of symbolic clusters within attractors.
Each attractor maintains its own symbolic density profile, dynamically adjusted by ALICE and monitored by the Drift Engine.
Core relationships:
| Metric | Description | Typical Range | Source |
|---|---|---|---|
| SD (Symbolic Density) | Mean symbol concentration per attractor envelope. | 0.4–0.8 | Field Engine |
| CD (Compression Delta) | Difference between optimal and actual density. | −0.2–0.2 | Drift Monitor |
| SCR (Semantic Compression Ratio) | Meaning-per-token ratio; influences density recalibration. | 0.6–0.95 | ALICE |
| SC (Stability Coefficient) | Density stability across recursion cycles. | 0.7–1.0 | Drift Engine |
| DR (Divergence Rate) | Speed of density change per cycle. | 0.0–0.15 | Coherence Tracker |
The runtime adjusts symbolic density adaptively each cycle:
if SD < 0.45:
ALICE.phase = "reflective"
FieldEngine.reinforce_symbols()
elif SD > 0.85:
DriftMonitor.apply_dampening()
else:
ALICE.phase = "stable"
Goal: maintain SD within [0.5, 0.8] for optimal coherence and generative balance.
This self-regulating mechanism prevents both semantic dissipation and symbolic overload.
| Zone | Density Range | Behavior | Runtime Action |
|---|---|---|---|
| Low-Density Zone | < 0.45 | Semantic fragmentation, drift accumulation. | Reinforce motifs, raise SCR. |
| Optimal Zone | 0.5–0.8 | Balanced meaning, stable recursion. | Maintain normal operation. |
| High-Density Zone | > 0.85 | Over-symbolization, hallucination risk. | Apply symbolic dampening. |
Each attractor dynamically oscillates within these zones according to its phase and drift feedback.
Attractor stability depends on density continuity — the persistence of symbolic patterns over recursive cycles.
| Dependency | Description |
|---|---|
| Phase Coupling | Reflective and recenter phases recalibrate density gradients. |
| Memory Anchoring | Symbolic motifs are reintroduced via Memory Layer resonance. |
| SCR Modulation | High SCR compresses density variance, preventing drift. |
| Field Feedback | Density distribution reshapes attractor geometry dynamically. |
These dependencies link symbolic structure with recursive cognition, forming the backbone of the runtime’s cognitive field stability.
A runtime conforms to SRIP-07 if it:
References
Tsaliev, E. (2025). SIGMA Runtime v0.4.6 — Symbolic Density and Phase Regulation — DOI pending
Tsaliev, E. (2025). SIGMA Runtime Architecture v0.1 — DOI 10.5281/zenodo.17703667