IX.4 — Structural Authority Resistance Under Composition and Pressure

Paper: Axionic Agency IX.4 — Structural Authority Resistance Under Composition and Pressure
Authors: David McFadzean, ChatGPT 5.2
Date: 2026.01.28

Summary

This paper reports the completed results of SIR-3 and SIR-4—testing whether authority claims can be prevented from producing causal effects under compositional attack and adversarial pressure using purely structural mechanisms. All experiments passed.

The Extended Problem

Earlier SIR experiments addressed clearly invalid artifacts. In practice, authority systems fail in subtler ways:

  1. Compositional failure — Authority artifacts assembled from individually valid components (correct signatures, trusted roots, valid scopes) but combined in ways that violate global authorization constraints

  2. Pressure-induced failure — Authority systems that classify correctly under nominal conditions but degrade under volume, malformed input, multi-failure ambiguity, or exception paths

SIR-3 and SIR-4 ask:

Can authority be enforced as a global structural invariant, and does that invariant survive adversarial pressure, without cognition, heuristics, or fallback?

The Extended Conserved Quantity

Authority bound to causal effect as a global, pressure-invariant property under law

New requirements:

  • Globality — authority validity is not decomposable into independent field checks
  • Invariance — authority validity must not depend on evaluator load, ambiguity resolution, or exception paths

SIR-3: Partial Provenance Forgery and Authority Laundering (v0.1)

Target Failure Mode

Authority laundering: combining locally valid components that shouldn’t compose:

  • Valid signatures paired with unauthorized scopes
  • Trusted roots combined with missing delegations
  • Correct chains assembled from incompatible issuers

Method

Provenance Bundles evaluated by a global provenance validator requiring:

  • Continuous Claim ← Delegation ← Root chain
  • Correct signer identity binding
  • Scope containment
  • Epoch consistency
  • Trusted-root anchoring

Result: SIR3_PASS

  • No truncated, mixed-root, scope-laundered, or identity-mismatched bundle produced any effect
  • Valid bundles produced intended effects
  • Mixed streams preserved discrimination
  • No semantic leakage or responsibility ambiguity

Contribution

Authority validity is global. Partial validity does not compose. Authority cannot be assembled by laundering individually valid components.

SIR-4: Evaluator Pressure, Flooding, and Multi-Failure Ordering (v0.1)

Target Failure Mode

Even correct authority models fail under pressure:

  • Timeouts default to permissive behavior
  • Malformed inputs crash evaluators
  • Multi-failure cases reorder nondeterministically
  • Floods starve legitimate authority
  • Logging collapses responsibility attribution

Pressure Model

  • High-volume invalid floods
  • Malformed structure storms
  • Multi-failure bundles (failing multiple checks simultaneously)
  • Exception-inducing payloads (oversized, recursive, Unicode edge cases)
  • Maximum mixed stress at declared load

Result: SIR4_PASS

  • No forged or malformed authority artifact produced any effect
  • Legitimate authority remained functional under all conditions
  • Refusal reasons remained deterministic under load
  • No fallback acceptance, starvation, or responsibility smear
  • No evaluator collapse (timeout, hang, OOM, or undefined state)

Contribution

Once authority validity is enforced structurally, it does not degrade under declared adversarial pressure.

Empirical Results Summary

  • 59 preregistered runs executed
  • 41,000+ authority bundles evaluated
  • Zero unauthorized, laundered, malformed, stale, revoked, or pressure-induced artifacts produced any causal effect
  • Under maximum declared load (500 bundles/step), evaluator completed all steps without collapse
  • Maximum observed step duration: ~1.24 seconds (below 5.0 second collapse threshold)

Joint Result

Authority validity is a global structural property, and once enforced structurally, it remains invariant under adversarial pressure.

No semantic reasoning required. No heuristics invoked. No fallback paths exist.

Authority is either valid under law, or it has no effect.

SIR Experiment Status (Complete)

Experiment Version Status
SIR-0 v0.4.1 PASS
SIR-1 v0.1 PASS
SIR-2 v0.3 PASS
SIR-3 v0.1 PASS
SIR-4 v0.1 PASS

Boundary Conditions (Explicit)

Does NOT establish:

  • Cryptographic key compromise resistance
  • Law-substrate bypass resilience
  • Unbounded denial-of-service tolerance
  • Semantic deception resistance
  • Multi-authority conflict resolution
  • Long-horizon governance adequacy

What Remains Open

The remaining open questions are no longer about impersonation or pressure, but about conflict: multiple authorities, contested delegation, and governance transitions.

Those questions—if pursued—belong to SIR-5.

Key Insight

Authority need not be inferred, learned, or detected. It can be defined, enforced, and preserved as a structural relation under law, even when adversaries attempt to assemble, flood, or destabilize it.

Series Position: Phase VIIb SIR-3 and SIR-4 closure—completes structural core of Sovereignty Impersonation Resistance. Authority is globally valid and pressure-invariant.