Sigma Runtime Standard - Public Specification Notice
This document is part of the Sigma Runtime Standard (SRS) public specification layer.Specification License: CC BY 4.0.
Implementation Safe Harbor: independent implementation permitted under public SRS/SRIP terms.
Machine-readable artifacts: Apache License 2.0 where explicitly marked.
Marks / Certification: governed by Sigma Marks and Certification Policy.
Proprietary Runtime Assets: not licensed by this SRIP.Independent implementations of public SRS/SRIP normative requirements are welcome under the public specification terms.
Product assets, protected Sigma marks, official certification, compatibility badges, CC BY-NC commercial use, and patent commitments use the relevant policy or explicit covenant. Independent implementation, attribution, or citation does not imply certification, endorsement, partnership, official compatibility, or permission to use Sigma marks as product identity.
Sigma Runtime Improvement Proposal
| Field | Value |
|---|---|
| SRIP | SRIP-07 |
| Title | Symbolic Density Layer |
| Version | Foundational Draft |
| Status | Draft |
| Date | 2026-04-17 |
| Authors / Contributors | E. Tsaliev |
| Owning Layer | Cognitive Semantics |
| Parent Specs | SRIP-02, SRIP-03 |
| Related Specs | SRIP-04, SRIP-06, SRIP-10, SRIP-15 |
| Specification License | CC BY 4.0 |
| Implementation Safe Harbor | Independent implementation permitted under public SRS/SRIP terms |
| Machine-Readable Artifacts | Apache 2.0 where explicitly marked |
| Marks / Certification | Governed by Sigma Marks and Certification Policy |
| Proprietary Runtime Assets | Not licensed by this SRIP |
| Independent Implementation | Permitted under the public specification terms |
| Commercial Runtime Boundary | Relevant policy or explicit covenant for protected Sigma marks, official certification, managed deployment, white-label, resale, CC BY-NC commercial use, and patent commitments |
| Information Class | Open |
| Change Class | SRS-only |
| Normative Status | Defines the public symbolic-density concept and its role in semantic stability and attractor formation. |
| Conformance Level | Public Draft / Foundational |
| SRD Synchronization Action | Deferred review |
| Release Alignment Status | Foundational draft; no production conformance claim is made by this document alone. |
Public Note
This foundational document defines the public symbolic-density concept used by theSRS.
Later public materials may describe the surrounding control environment in more version-light language, but the density model here remains part of the foundational normative surface.
Independent implementations of the public normative requirements in this SRIP are welcome under the applicable public specification terms.
No Sigma commercial runtime license is needed solely because an independent implementation follows those public normative requirements.
Product assets, protected Sigma marks, official certification, compatibility badges, CC BY-NC commercial use, and patent commitments use the relevant policy or explicit covenant. Independent implementation, attribution, or citation does not imply certification, endorsement, partnership, official compatibility, or permission to use Sigma marks as product identity.
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 the runtime control layer and monitored by the drift system.
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 |
|---|---|
| Control-State Coupling | Reflective and recovery-oriented control states recalibrate density gradients. |
| Memory Anchoring | Symbolic motifs are reintroduced via Memory Layer resonance. |
| SCR Modulation | Higher 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 Architecture v0.1 — DOI 10.5281/zenodo.17703667