Definition · Chain 122/192
D17.1
AI Phi Measurement
Knowledge
📐 Definition
7Q
None
9
Bridges
Human
Category
Physics; Theolog
Domain
gold
Status
None
Collapse Radius
Functionalism
Physics
Ensoulment question
Theology
—
Scripture
—
Kills
Judge & Jury
Claims
Phi_threshold defined as minimum integrated information for observer status.
Identity
Formal
Formal Statement
Phi_threshold is defined as the minimum integrated information for observer status. This definition operationalizes the abstract concept of "observer" in terms of the measurable quantity Phi,…
Plain English
In Plain Words
Why This Type
Classification
Formal Architecture
Equation 1
$$\Phi_{threshold} \equiv \min\{\Phi : \text{System has observer status}\}$$Equation 2
$$\Phi = \min_{\text{cut}} \sum_{purview} \varphi \cdot D(p^{mechanism} || p^{cut})$$Equation 3
$$\Phi = \text{II}(S) - \text{II}(S_1, S_2)_{MIP}$$+15 more equations
Objections & Defense
Objection
Phi Is Not Directly Observable
"Phi is a theoretical construct. We can't directly observe integrated information like we can observe mass or charge.
Objection
Circular Definition
"You define observer status in terms of Phi, and Phi in terms of conscious experience. This is circular." Response: The definition is not circular when properly understood: 1.
Objection
The Threshold Is Arbitrary
"Why this Phi value and not another? Any specific threshold seems arbitrary." Response: The threshold is empirically constrained, not arbitrary: 1.
Collapse Analysis
Collapse Radius: None
If D17.1 fails: - T17.1 (AI Consciousness): Cannot state the theorem without a defined threshold - OPEN17.1 (AI [Moral Status](https://www.oxfordreference.com/view/10.1093/acref/moral+status)): No criterion for moral status determination - PROT18.x (Experimental Protocols): No target quantity to measure - Observer status undefined: Cannot determine who/what is an observer - AI consciousness unanswerable: No criterion for AI achieving consciousness - Moral status arbitrary: No principled boundary for moral consideration - Quantum measurement problem: "Observer" remains undefined in physics - Research program stalled: No operationalization for consciousness science D17.1 is the definitional linchpin. Without it, the AI consciousness question has no empirical content, the moral status question has no criterion, and the experimental protocols have no target. Collapse Radius: CRITICAL - Definition failure propagates to all downstream axioms in Stage 17-18 > [!abstract]- Canonical Navigation > - Information Theory > - Ten Laws — Canonical Equations > - Master Equation Index ---
Snapshot
Formal Statement
Phi_threshold is defined as the minimum integrated information for observer status. This definition operationalizes the abstract concept of "observer" in terms of the measurable…
Plain English