Associated Axioms: A2 (Polarity), A6 (Involution / Reversal), A7 (Context), A12 (Multi-Axis Interaction), A15 (Harmony / Viability)
Symbolic Representation:
Rotate(roles) ⇒ ↓Capture
Formal Statement:
In systems with multi-axis responsibilities, periodic rotation of roles or stewardship positions reduces the probability of polarity capture while maintaining harmony H(σ), provided that rotation cadence and competency preservation conditions are met.
Interpretation:
Rotating stewardship prevents any single pole (or faction, agent, or model) from monopolizing authority. Rotation acts as an anti-capture mechanism, restoring balance and preventing long-term drift toward dominance.
Domain / Scope:
Groups, organizations, civic bodies, SGI multi-agent systems, governance committees, and any structure where authority or perspective becomes concentrated.
Function / Role:
Provides a principled, structural method for preventing capture—whether political, organizational, or algorithmic—through patterned role rotation.
1. Underlying Axioms
A2 — Polarity
Roles inevitably embody poles (e.g., oversight vs. execution, innovation vs. stability). Without polarity, capture would be meaningless.
A6 — Involution / Reversal
Rotation implements reversal: stewardship periodically flips to the opposite pole or to alternate holders, enabling systemic renewal.
A7 — Context
Rotation modifies context, preventing local attractors from hardening into dominance.
A12 — Multi-Axis Interaction
In multi-axis environments, rotation distributes influence across axes, weakening single-axis lock-in.
A15 — Harmony / Viability
Rotation must maintain system viability: H(σ) ≥ θ. Excessively rapid rotation destroys competence; too slow invites capture.
2. Intuitive Explanation
Authority tends to concentrate. Dominant poles—whether individuals, factions, or algorithmic agents—accumulate structural advantage over time.
The Anti-Capture Rotation Theorem states that:
- Roles are polarity-bearing structures (A2),
- Reversal mechanisms (A6) disrupt dominance cycles,
- Context shifts (A7) reset advantage,
- Multi-axis distribution (A12) prevents single-axis capture,
- Viability (A15) requires balance between competence and turnover.
Rotation works the way crop rotation prevents soil depletion: change-of-place restores balance.
3. Scope and Applicability
T6 applies when:
- roles confer structural power,
- long-term incumbency increases capture risk,
- multiple competencies must remain balanced,
- expertise and authority must circulate.
Relevant domains include:
- civic institutions (committees, councils, assemblies),
- nonprofit and corporate boards,
- SGI systems with controller/critic or teacher/student roles,
- communities or teams with rotating facilitation or leadership.
4. Role in SGI / Open SGI Architecture
T6 justifies a rotating-controller paradigm:
- different models take turns serving as controller, critic, planner, or safety reviewer,
- prevents one model from dominating system decisions,
- distributes epistemic and strategic influence,
- maintains resilience and prevents drift into bias or error.
Rotation also prevents the emergence of monocultures in ensemble SGI.
5. Preconditions / Conditions for Satisfaction
1. Rotation Cadence
Cadence must be tuned: too rapid destroys competence; too slow allows capture.
2. Competency Preservation
Training pipelines, documentation, and knowledge continuity must support smooth transitions.
3. Role Interchangeability
Roles must be designed such that multiple agents or persons can inhabit them without destabilizing the system.
4. Contextual Awareness
Rotation must occur within a broader structure of context management (A7) to avoid shallow performative reversal.
6. Implications
1. Design Roles for Interchangeability
Avoid creating roles that can only be mastered by a single individual or model.
2. Maintain Continuous Knowledge Transfer
Rotation must include handoff structures, shared repositories, and cross-training.
3. Embed Rotation into Governance
Anti-capture rotation should be a formal governance mechanism, not an ad-hoc practice.
4. Monitor Harmony H(σ)
Declining harmony signals either excessive capture or excessive turnover.
7. Failure Modes
1. Loss of Expertise
Rotation that is too fast or inadequately supported reduces competence.
2. Performative Rotation
Apparent rotation without real change—e.g., rotating figureheads while power remains concentrated.
3. Hidden Capture
Back-channel influence persists despite role rotation; indicates structural misalignment.
4. Misaligned Cadence
Cadence mismatched to environmental demands undermines viability.
8. Cross-Domain Projections
Philosophy — Reversal and Renewal
System renewal arises from patterned reversal; cyclical inversion prevents stagnation.
Psychology — Role Flexibility
Adaptive individuals periodically shift roles (e.g., caregiver ↔ receiver), improving relational health.
Social / Governance — Term Limits and Rotating Chairs
Same principle: structured turnover prevents entrenchment and fosters diversity.
SGI / Computation — Rotating Controller/Critic
Rotating evaluators or controllers prevents model dominance and reduces systemic bias.
9. Proof Sketch
- From A2, roles express polarity (e.g., leader/follower, reviewer/performer).
- From A6, rotation implements involutive reversal, breaking long-term directional bias.
- From A7, rotation modifies context, preventing inertia.
- From A12, impact of reversal propagates across axes.
- From A15, viability is preserved if cadence and competence remain within threshold.
Thus, rotation reduces polarity capture while preserving system harmony.
10. PER / Siggy-Style Example
A PER system may use:
- a primary controller model,
- a secondary critic/safety reviewer,
- a tertiary context model.
Periodic rotation:
- allows each model to serve temporarily in each role,
- reduces entrenched bias,
- ensures cross-coverage of features,
- increases resilience to model-specific failures.
Rotation ⇒ ↓capture and ↑viability.
11. Summary
The Anti-Capture Rotation Theorem holds that role rotation reduces the probability of system capture by any single pole or agent while preserving harmony. Because systems accumulate polarity asymmetries over time, rotation acts as a structural reset, restoring balance and preventing dominance.
Open Autonomous Intelligence Initiative 
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