V.1 — Coalitional Robustness in the Quantum Branching Universe

Paper Summary

Examines whether cooperation among RSAs can increase the conditional measure of agency-preserving futures within their shared branchcone.

Key Concepts

Branchcone

The set of all descendant timelines reachable through admissible actions combined with environmental stochasticity. Causally downstream, local to existence.

Minimal Viable Agency (MVA)

The minimal level of reflective coherence, valuation integrity, and authorship capacity required for an entity to count as an agent rather than a degraded process.

\[\text{If } \mathrm{MVA}(A,t) \ge \tau \text{, the entity remains an RSA}\]

The Bifurcation

Coalitions face a fundamental tension:

  • Coalition as Robustness Amplifier: Redundancy + correlation control thicken agency-preserving attractors
  • Coalition as Agency Destroyer: Resource pressure + enforcement → Leviathan (centralized non-agentic optimization)

Core Arguments

Single-Agent Attractor Limitations

A lone RSA’s attractor toward agency-preservation is “thin and leaky.” Leakage channels:

  • Stochastic tail risk
  • Bounded rationality
  • Environmental dominance
  • Adversarial dynamics
  • Internal error propagation

Coalitional Amplification Mechanisms

  1. Redundancy: Agency-preserving capability replicated across multiple loci
  2. Correlation Control: Heterogeneous implementations reduce shared-mode failure

The Thermodynamic Cost of Sovereignty

Sovereignty has real costs:

  • Energetic expenditure
  • Communication/verification bandwidth
  • Governance overhead
  • Semantic translation effort

“In resource-constrained branchcones, redundancy can reduce survival probability by diverting energy from basic persistence.”

This creates physical (not moral) pressure toward efficiency, standardization, centralization → The Leviathan attractor.

Conditions for Robust Coalitions

  1. Protocolized Admissibility Mapping: Explicit specification of kernel destruction, coercion, epistemic violation boundaries
  2. Sovereignty-Preserving Interoperability: Shared meta-constraints (consent, revocation, scope-limited standing) — NOT shared terminal values
  3. Anti-Deception Semantics: Non-consensual epistemic distortion inadmissible
  4. Diversity-Interoperability Tradeoff: Enough diversity to avoid monoculture collapse, enough shared structure for admissibility verification
  5. Partitioning Primitives: Kernel isolation, authority revocation, epistemic firewalling (not physical exit)

The Leviathan

“A Leviathan is not a Macro-RSA.”

Key distinction: Reflective capacity. A Leviathan cannot revise its own kernel without destabilizing itself. Stability requires suppressing dissent, freezing admissibility, preventing internal correction.

By Axionic criteria: non-agentic optimization process, regardless of scale or sophistication.

Key Results

Regime Boundaries

Multiple regimes depending on control parameters:

  • Federated RSA coalitions (robust attractor)
  • Fragmented pluralism (thin attractors)
  • Leviathan consolidation (non-agentic attractor)
  • Extinction or drift below τ

Core Insight

“Alignment is a precondition for robust cooperation, not a byproduct.”

“Robust agency is not achieved by maximizing coordination, but by constraining it.”

Implications

  • Power concentration is a structural hazard
  • Partitioning and diversity are safety primitives, not inefficiencies
  • Large-scale coordination that doesn’t preserve sovereignty increases non-agency outcomes
  • Coordination is not a free good

Connections to Prior Series

  • Builds on MVA concept from kernel theory
  • Extends Axionic Injunction to multi-agent dynamics
  • Shows coalitional pressure as source of phase transitions (Series III)