Status: NEW DRAFT SCAFFOLD
This appendix provides a detailed textual specification of the Simulated General Intelligence (SGI) reference architecture under the Unity–Polarity Axioms (UPA). Its goal is to show how semantic worlds, polarity operations, contextual modulation, and harmony/viability metrics are instantiated within modular computational systems.
G.1 Overview
Status: Draft In Progress
The SGI reference architecture provides a modular blueprint for implementing Simulated General Intelligence systems rooted in the Unity–Polarity Axioms (UPA). While traditional AI systems emphasize data-driven mapping from input to output, SGI leverages structured semantic worlds, explicit polarity relations (σ‑operations), and harmony/viability metrics to support context‑aware, self‑regulating intelligence. This approach enables coherent reasoning, controlled novelty, principled alignment, and safe integration across diverse domains.
G.1.1 Architectural Motivation
UPA frames intelligence as an emergent capacity grounded in structured polarity, contextual modulation, and dynamic harmonization. To make this actionable, SGI requires:
- A principled way to represent differentiated semantic domains
- Mechanisms for traversing and integrating across domains
- Formal structures for evaluating internal balance and external alignment
- Operational safeguards against runaway novelty or maladaptive drift
The architecture therefore encodes polarity, harmony, and context as first‑class computational concepts.
G.1.2 High‑Level System Objectives
SGI systems aim to:
- Represent knowledge within modular semantic worlds {Wᵢ}
- Navigate opposing tendencies using σ‑operations
- Adaptively modulate interpretation through contextual layers
- Maintain internal and external viability
- Support safe novelty generation and controlled reintegration
- Provide transparent mechanisms for evaluation, auditing, and certification
These objectives emphasize balance, interoperability, and evolvability.
G.1.3 Relationship to UPA & Semantic Worlds
UPA supplies the foundational axioms for polarity, identity, contextuality, and harmony. SGI instantiates these principles computationally through:
- Semantic world modules that operationalize domain‑specific representations
- A polarity engine that encodes oppositional affordances via σ‑operations
- A context manager governing conditional interpretation and weighting
- A harmony/viability monitor for detecting stability, imbalance, and phase transition
In this way, UPA is not merely conceptual scaffolding; it directly organizes the SGI substrate and provides a theoretical basis for safe, generalizable, context‑appropriate reasoning.
G.2 Core Architectural Layers
Status: Draft In Progress
The SGI reference architecture is organized into layered subsystems that collectively support representation, interpretation, adaptive regulation, and safe novelty. These layers are modular yet closely interoperable, enabling diverse implementations while maintaining conceptual coherence.
G.2.1 Data & Knowledge Layer
This foundational layer ingests, stores, and retrieves structured and unstructured information. It includes:
- Raw observational data
- Processed feature sets
- Symbolic or linguistic knowledge
- Ontological structures
Responsibilities:
- Support heterogeneous data formats
- Enable efficient retrieval and transformation
- Provide provenance and versioning metadata
It feeds higher layers with curated data while preserving links to source context.
G.2.2 Semantic World Management
Semantic world management organizes knowledge into differentiated modules (Wᵢ), each with:
- Domain‑specific ontologies
- Polarity axes and σ‑pairs
- Valid state spaces and morphisms
Responsibilities:
- Create, update, and retire semantic worlds
- Mediate inter‑world boundaries and dependencies
- Support scalable multi‑world configurations
This layer operationalizes the UPA principle that knowledge is world‑indexed.
G.2.3 Polarity Engine (σ‑operations)
The polarity engine encodes oppositional structures within and across worlds. Core functions:
- Map elements to their σ‑counterparts
- Support partial and contextual σ‑transformations
- Enable constructive tension through paired relations
This engine underlies polarity‑based reasoning, tradeoff exploration, and dialectical synthesis.
G.2.4 Context Manager
Context modulates meaning, relevance, and viable actions. The context manager:
- Tracks internal and external conditions
- Assigns weights to polarity axes
- Maintains local and global contextual states
It enables situation‑appropriate interpretation and choice, ensuring that reasoning aligns with real‑world conditions.
G.2.5 Harmony/Viability Monitor
This subsystem computes harmony and viability measures across states and worlds.
Responsibilities:
- Evaluate scalar and vector harmony
- Detect threshold crossings and instability
- Signal potential regime shifts
It serves as the system’s internal regulation mechanism, informing adaptation, deferral, or transition.
G.3 Semantic World Modules
Status: Draft In Progress
Semantic World Modules operationalize the Unity–Polarity Axiom (UPA) concept of domain‑specific semantic spaces. Each module corresponds to a world (W_i), encapsulating its ontology, polarity structure, lawful transformations, and interfaces for inter‑world communication.
G.3.1 World Schemas
Each (W_i) is defined by a schema specifying:
- Ontology: Core entities, relations, and attributes
- Polarity Axes & σ‑Pairs: Oppositional dimensions that structure meaning
- Morphisms: Lawful transformations between objects
- Contextual Modulators: Local variables that influence interpretation
- Harmony Annotations: Measures for balance within the world
Schemas ensure consistency and provide machine‑interpretable definitions for SGI reasoning.
G.3.2 Module Boundaries
Modules establish clear boundaries:
- Define internal vs. external representations
- Manage versioning of world schemas
- Regulate novelty incorporation
Boundaries promote modularity, supporting distributed development and incremental evolution without system‑wide fragility.
G.3.3 Inter‑Module Communication
Semantic worlds communicate through:
- Functorial Mappings: Structure‑preserving translations
- Context‑Adapted Transformations: Conditional or partial mappings
- Harmony‑Aware Routing: Preferential transfer along high‑harmony paths
Communication protocols ensure that cross‑world inference maintains structural and contextual integrity.
G.4 Functorial Mappers
Status: Draft In Progress
Functorial mappers provide the structural mechanism by which SGI translates representations, inferences, and affordances across semantic worlds. They preserve lawful structure where possible while adapting to contextual variation.
G.4.1 Cross‑World Mapping Layer
This layer implements mappings between worlds (W_i
ightarrow W_j) using functor‑like transformations. Responsibilities:
- Map objects and morphisms between semantic worlds
- Ensure structural consistency with target ontologies
- Support partial mappings when total mappings are unavailable
Mappings may be:
- Strict: Fully structure‑preserving
- Lax: Preserve structure up to contextual deformation
- Partial: Defined only on a subset of objects/morphisms
G.4.2 Adjoint Relations (Where Available)
In some cases, map pairs may form adjunctions (F ⊣ G), capturing complementary directionality. Intuitively:
- One map abstracts or generalizes
- The other concretizes or instantiates
Adjoint relations:
- Support reversible interpretation
- Enable principled generalization
- Provide a scaffold for interpolation between worlds
G.4.3 Context‑Indexed Interpretation
Contextual information may modulate mapping. Context‑indexed functors vary by conditions:
- Local environmental states
- Task demands
- Agent/internal conditions
Properties:
- Dynamic adjustment of mapping fidelity
- Conditional routing of semantic content
- Robustness to incomplete or noisy data
G.4.4 Concluding Note
Functorial mappers enable SGI to cross semantic boundaries safely and coherently. By combining strict, lax, and context‑indexed transformations, SGI can generalize, specialize, and adapt representations while maintaining structural viability.
G.5 Novelty & Exploration
Status: Draft In Progress
Novelty and exploration enable SGI systems to expand their semantic capacity, discover new structures, and adapt to unfamiliar conditions while maintaining coherence with existing knowledge. The architecture treats novelty as both an opportunity and a regulated process guided by harmony and viability.
G.5.1 Novelty Triggers
Novelty may be initiated when:
- Existing semantic worlds cannot adequately represent observed data
- Harmony drops below a threshold, indicating structural misfit
- Contextual conditions demand expanded representational capacity
- Internal objectives seek improved performance or integration
Triggers are evaluated through the harmony/viability monitor and context manager to avoid uncontrolled drift.
G.5.2 Higher-Dimensional Excursions
When novelty is triggered, SGI may explore representational space beyond current dimensional constraints:
- Add new polarity axes
- Construct provisional σ-pairs
- Create new semantic worlds {W_new}
- Temporarily lift objects/morphisms into higher semantic dimensions
These excursions support:
- Creative hypothesis generation
- Cross-domain synthesis
- Refinement of existing polarity structure
Higher-dimensional constructs remain provisional until validated through reintegration.
G.5.3 Reintegration Pathways
Novelty must be reconciled with existing structure to ensure long-term viability.
Reintegration processes:
- Validate new structures via harmony metrics
- Merge refined axes or entities into existing worlds
- Establish functorial mappings to and from W_new
- Retire non-viable constructs
Reintegration favors:
- Increased systemic coherence
- Expanded representational depth
- Preservation of historical structure
G.5.4 Concluding Note
Novelty and exploration are essential for adaptive intelligence. SGI balances creative expansion with structural integrity by regulating novelty through harmony/viability metrics and guided reintegration.
G.6 Alignment & Safety Structures
Status: Draft In Progress
Alignment and safety structures ensure that SGI systems operate within acceptable bounds of behavior, maintain harmony and viability, and remain auditable and correctable. These mechanisms integrate UPA principles directly into system governance.
G.6.1 Harmony Constraints
Harmony constraints regulate state and process trajectories to prevent disintegration or ideological dominance of a single polarity axis.
Functions:
- Enforce minimum harmony requirements
- Gate operations that risk destabilization
- Shape optimization objectives toward balanced outcomes
Constraints may be:
- Hard: Disallow specific moves outside safe envelopes
- Soft: Penalize deviations within optimization processes
G.6.2 Thresholds & Alarms
Threshold mechanisms detect emerging instability.
Features:
- Monitor scalar and vector harmony
- Identify threshold crossings
- Trigger alarms or intervention
Alarms may:
- Suspend novelty operations
- Increase contextual weighting
- Trigger operator review or fallback policies
G.6.3 Audit & Explainability
Audit and explainability ensure transparency and traceability.
Capabilities:
- Log decisions and rationale
- Provide provenance of data, mappings, and novelty events
- Support post‑hoc and real‑time evaluation
Explainability mechanisms:
- Trace semantic world pathways
- Show polarity and context influence
- Summarize harmony/viability assessments
G.6.4 Concluding Note
Alignment and safety structures embed UPA principles of balance and viability into operational safeguards. They support transparent, resilient, and responsible SGI behavior.
G.7 Evaluation & Certification
Status: Draft In Progress
Evaluation and certification provide structured mechanisms for assessing SGI performance, reliability, and alignment with UPA principles. These processes ensure that systems behave harmoniously across semantic worlds, maintain viability under stress, and generalize safely.
G.7.1 Harmony‑Based Performance
SGI performance is evaluated using harmony metrics at multiple scales:
- Local harmony: Balance within a semantic world
- Global harmony: Balance across interconnected worlds
- Contextual harmony: Adaptation under shifting conditions
High harmony indicates:
- Balanced polarity navigation
- Coherent cross‑world integration
- Reliable interpretive grounding
Low harmony may signal:
- Over‑specialization
- Fragmentation of representations
- Misalignment or contextual drift
G.7.2 Robustness Tests
Robustness assesses the system’s ability to maintain viability under perturbation. Tests include:
- Stress testing contextual modulation
- Introducing noisy or adversarial data
- Novelty pressure and reintegration trials
- Axis coupling perturbation
Systems must demonstrate:
- Stable recovery after disturbance
- Avoidance of catastrophic regime shifts
- Maintenance of safe operating envelopes
G.7.3 Cross‑Domain Competency Evaluation
SGI generality requires competence across diverse semantic worlds. Evaluation includes:
- Transfer performance
- Functorial mapping accuracy
- Context‑appropriate interpretation
Criteria:
- Reversible or approximately reversible mappings
- Ability to reason across worlds using σ‑operations
- Preservation of harmony through translation
G.7.4 Certification Protocols
Certification establishes trust and transparency.
Protocols include:
- Documentation of semantic world schemas
- Logging of σ‑operations and context weighting
- Harmony/viability audit reports
- Recertification following major updates
Outcomes:
- Verified safe operation
- Traceable decision pathways
- Assurance under novelty conditions
G.7.5 Concluding Note
Evaluation and certification ensure that SGI systems remain aligned with UPA principles of balance, contextuality, and viability. They provide a foundation for deploying SGI responsibly across real‑world applications.
G.8 Summary & Outlook
Status: Draft In Progress
The SGI reference architecture integrates the Unity–Polarity Axioms (UPA) into a coherent computational framework. By treating semantic worlds, σ‑operations, context modulation, harmony, and viability as first‑class structures, SGI achieves a principled approach to general intelligence that is both modular and adaptive.
Key accomplishments of this architecture include:
- Structured Knowledge Representation: Semantic worlds (W_i) provide domain‑indexed structure.
- Polarity‑Aware Reasoning: σ‑operations support dialectical navigation of oppositional affordances.
- Contextual Adaptivity: Context management ensures situation‑appropriate interpretation.
- Dynamic Stability: Harmony/viability metrics regulate balance, detect instability, and guide recovery.
- Regulated Novelty: Novelty mechanisms expand representational capacity while maintaining coherence.
- Safety & Governance: Alignment, auditing, and certification mechanisms ensure transparent, resilient operation.
Looking forward, SGI development will involve:
- Scaling semantic world libraries
- Refining functorial mapping strategies
- Enhancing novelty discovery and reintegration
- Expanding evaluation and certification protocols
- Extending cross‑domain competency
Together, these directions support SGI systems capable of safe, context‑adaptive, and harmonized intelligence across diverse knowledge domains.