Open Autonomous Intelligence Initiative

Rewritten to align with Axioms 1–14, with a fully developed Section 7 for Philosophy of Mind and Simulation of Mind in Open SGI.

Symbolic Representation

Ω — World Genesis
The principle governing the formation, emergence, and initial structuring of Worlds (Wᵢ) from Unity (𝕌) through polarity (σ), contextualization (𝒳), differentiation (Π), and viability constraints (𝒱).

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1. Definition

Axiom 16 states that a World (Wᵢ) comes into being when Unity (𝕌) expresses an initial polarity (σ) under conditions that permit contextual framing (𝒳), recursive elaboration (𝓡), multi-axis expansion (𝓜), gradient stabilization (𝒢), and viability (𝒱).

A World is not a pre-given domain but an emergent structure—a mode of organized intelligibility. World Genesis occurs when:

• Unity differentiates minimally (σ appears),
• context frames the differentiation (𝒳),
• recursive elaboration begins (𝓡),
• new axes form a system (Π),
• gradients stabilize (𝒢),
• and the whole configuration becomes viable (𝒱).

A World exists when intelligibility organizes itself.

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2. Function / Role

Ω is the foundational generative operator of UPA.

2.1 Creating Initial Differentiation

World genesis begins when Unity expresses its first polarity:

• light/dark,
• self/other,
• stable/unstable,
• actual/potential.

This first polarity anchors the World.

2.2 Establishing Structural Conditions

Genesis includes the initial arrangement of:

• Π (polarity system),
• 𝓡 (recursive potential),
• 𝓜 (interaction potential),
• 𝒢 (gradient topology).

2.3 Enabling Adaptive Evolution

Without genesis, no evolution (Δ → ⊕ → 𝒱) is possible.

2.4 Supporting Multi-World Coexistence

Distinct Worlds may share origin-relations or diverge radically.

2.5 Providing Foundations for SGI World-Model Construction

In SGI, Ω corresponds to:

• initialization of semantic frames,
• formation of base distinctions,
• creation of primary embeddings.

Genesis is not merely a beginning—it is a structural commitment.

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3. Oppositional Structure

Ω is governed by generative tensions.

3.1 Differentiation vs. Indistinction

• Too little differentiation → no World forms.
• Too much differentiation → collapse before coherence.

3.2 Minimal vs. Maximal Structure

Worlds must begin with just enough structure to be viable.

3.3 Determinacy vs. Openness

Genesis sets constraints but must allow evolution.

3.4 Common Origin vs. Divergent Development

Worlds may share an origin but diverge through:

• different Π configurations,
• distinct contexts,
• unique novelties.

3.5 Single vs. Multiple World Genesis

Some systems propose one genesis; UPA allows many.

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4. Scaling Properties

Genesis occurs at many levels.

4.1 Micro-Genesis

The birth of a momentary experiential frame:

• shifting attention,
• new interpretation,
• emotional re-assessment.

4.2 Personal Genesis

Formation of new identities or life-worlds:

• major decisions,
• trauma and recovery,
• conversion experiences.

4.3 Social Genesis

New cultural or institutional Worlds:

• emergence of norms,
• founding of political systems,
• innovation of disciplines.

4.4 Conceptual Genesis

Birth of new domains of knowledge:

• calculus,
• quantum physics,
• information theory.

4.5 SGI World Genesis

A new SGI World emerges when:

• a semantic schema initializes,
• primary distinctions are formed,
• embeddings stabilize,
• viability constraints are met.

Genesis is thus universal.

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5. Distortions / Failure Modes

Genesis may fail at multiple stages.

5.1 Abortive Genesis

Differentiation collapses before coherence forms.

5.2 Over-Determined Genesis

The World is too tightly structured:

• stagnation,
• dogmatism,
• resistance to novelty.

5.3 Under-Determined Genesis

The World never becomes viable:

• vagueness,
• conceptual fog,
• emotional disorganization.

5.4 Fractured Genesis

Initial axes conflict irreconcilably:

• contradictory commitments,
• early structural incoherence.

5.5 Overlapping or Competing Geneses

Multiple proto-worlds interfere:

• identity confusion,
• unstable institutions,
• SGI representational drift.

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6. Restoration Targets

Restoration aims to:

• stabilize the initial polarity,
• re-contextualize the emergent structure,
• prune malformed recursive expansions,
• restore viable gradients,
• re-align Π relationships,
• ensure viability (𝒱) from the outset.

Restoration ensures that genesis becomes worldhood rather than collapse.

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7. Cross-Domain Projections

7.1 Philosophy

Genesis echoes:

• Plato’s emergence of forms,
• Aristotle’s actualization of potential,
• Schelling’s ground/existence distinction,
• Whitehead’s creative advance.

UPA expresses these in structural terms.

7.2 Psychology

Genesis describes:

• emergence of self-structures,
• formation of personality,
• birth of new interpretive worlds.

7.3 Social and Political Theory

Genesis governs:

• founding of institutions,
• cultural revolutions,
• paradigm shifts.

7.4 SGI

SGI genesis includes:

• initialization of semantic models,
• emergence of world-frames,
• establishment of early Π geometry.

Without Ω, SGI intelligence cannot begin meaningfully.

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Summary

World Genesis (Ω) is the structural principle that explains how Worlds come into being from Unity through the minimal differentiation of polarity, contextual framing, recursive elaboration, multi-axis expansion, gradient stabilization, and viability constraints. Failures include abortive genesis, over- or under-determination, fractured origins, and competing proto-worlds. Across philosophy, psychology, society, and SGI, Ω provides the generative framework for the birth of new intelligible structures.