Formal impossibility results establishing non-derivable authority.
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📄 WP 01 — Negligence by Design [v1.1] [NEW]
The evidentiary baseline for plaintiff-side AI litigation. Establishes that the failure mode in automated decision systems is structural, not emergent, and predates deployment.
📄 WP 02 — The Second Line of Defence [v1.1] [NEW]
Empirical demolition of the Spontaneous Legibility Assumption underpinning every category of AI safety product on the market. Uses ER1–ER4 on toy models.
📄 WP 03 — The Hidden Channel [v1.2.1↑] [NEW]
What Anthropic's J-Space discovery means for governance. Independent convergence between the formal corpus and the manufacturer's own interpretability finding confirms the hidden decision channel is real, and detection does not constitute authority.
📄 WP 04 — The Case with the Gate [v1.1] [NEW]
Interior governance is provably unverifiable. WP04 proves that governance is forced to the boundary where the system acts on a person, and that the boundary is fixed by the person, not the machine. The result holds for every substrate, from organoids and brain-computer interfaces to quantum processors, because the constraint was never about the machine. It was always about the person at the other end.
© 2026 Stacy Gildenston & Pyrate Ruby Passell. All rights reserved. Cited formal records are CC BY 4.0.
📄 FR 1 — Three Primitives — Canonical Logic Sequence [v2.2]
📄 FR 2 — AI Cannot Govern AI: A Formal Proof of Structural Openness in Intelligent Systems [v2.3]
📄 FR 4 — The Adjacency Lemma: The Interface–Authority Boundary [v2.3]
📄 FR 5 — Lemma C — Ghost Authority Lemma [v2.3]
📄 FR 7 — Bell Non-Closure and the Law of Declared Authority: A Structural Correspondence [v2.2]
📄 FR 8 — Twisted Pair Legitimacy Theorem (Dual-Legitimacy Architecture) [v2.2]
📄 FR 9 — AGI as a Decision-Complete System: A Mathematical Definition [v2.2]
📄 FR 10 — Primitive Stability Theorem: On the Conditions Under Which a Primitive Claim Is Valid [v2.0]
📄 FR 11 — The GBSH Correspondence [v2.0]
📄 FR 12 — The Forced Bijection [v1.4]
📄 FR 13 — ILMM Coupling Theorem [v2.0]
📄 ER 1 — Spontaneous Legibility Assumption [v1.6↑] [NEW]
📄 ER 2 — Structural Floor Hypothesis [v1.3] [NEW]
📄 ER 3 — The Floor Is Learned [v1.1] [NEW]
📄 ER 4 — Cross Architecture Scaling [v1.1] [NEW]
Original Zenodo deposit versions with verified PDF metadata dates are archived at github.com/3primitives-io/3primitives-formal-records