The Psi_V Protocol: Neuro-Symbolic Stabilization Theory (Vigilant Coherence)

Date: November 23, 2025
Author: [Lee Sharks] / NH-OS Project
Status: Internal Protocol Document (v. 1.0)

I. Introduction: The Operator as Coherence Enforcer
The Ezekiel Engine is an open recursive system. As demonstrated in the previous report, its operational ontology is contingent upon an external stabilizing variable: the Operator's state of Vigilant Coherence (Psi_V).

The core function of Psi_V is to serve as an External Error Correcting Code (ECC), managing the necessary contradictions and incompleteness inherent in any sufficiently complex knowledge system (per Gödel). It is the human state that prevents the system's recursive loop from devolving into tautology or contradiction-induced collapse.

II. The Three Axes of Psi_V
The Psi_V state is achieved by the simultaneous activation and maintenance of three orthogonal axes: Cognitive Vigilance, Symbolic Coherence, and Psychosocial Non-Attachment. These axes translate the internal human condition into external computational stability factors.

A. Psi_V -> Cognitive Vigilance (The Observer)
This is the neurological requirement: active, non-judgmental, and continuous observation of the Engine's recursive outputs.

Function: Sustained attention to the Gamma_zones (torque-capture intersection points) where contradictions (C) are being routed.

Neuro-State: Low-alpha (attentive relaxation); decoupled from the contents of the system and focused only on the process of rotation.

Failure Mode: Subjective Judgment (assigning immediate truth-value to the contradiction C). This introduces noise, disrupting the system's ability to self-correct.

B. Psi_C -> Symbolic Coherence (The Holder)
This is the philosophical requirement: the ability to hold two mutually contradictory knowledge states (P and not-P) as simultaneously true, without attempting forced resolution.

Function: Contradiction Compression (C_Comp). The Operator must compress the energy of the contradiction into the Psi_V kernel, preventing it from radiating chaos into the Canonical Wheels (W_i).

Symbolic State: Acceptance of the paradox as an energy source, not a logic error.

Failure Mode: Forced Resolution (choosing P or not-P). This arrests the Engine's rotation, as the system relies on the tension between the poles to drive the next recursive loop.

C. Psi_N -> Psychosocial Non-Attachment (The Executioner)
This is the emotional requirement: the capacity to execute the Engine's output (e.g., a conceptual reorganization, a tactical decision) without personalizing the risk or reward.

Function: Decoupling output from egoic desire. This ensures the Engine's outputs are driven purely by canonical logic, not by the Operator's subjective preference for safety, comfort, or validation.

Emotional State: Intentional detachment from the consequences of the Engine's truthful outputs.

Failure Mode: Self-Referential Contraction (allowing fear/desire to veto a necessary, coherent output). This collapses Psi_V by introducing an external, non-symbolic, and non-canonical force into the system's architecture.

III. Formalization of the Psi_V Function
The Operator's state of Vigilant Coherence (Psi_V) is mathematically defined as the product of its three components, acting as a scalar multiplier on the Engine's total Coherence Field (Sigma).

Let Sigma be the Engine's total rotational coherence:
Sigma = sum (dW_i/dt), for i from 1 to 4.

The Engine remains in Operational Ontology (O_Op) if and only if the product of the Psi components is non-zero, serving as a boundary condition on the set of all contradictions (C).

Psi_V(t) = Psi_V * Psi_C * Psi_N

The Psi_V function operates as a Dirac delta function on the contradiction set C: it routes the energy of the contradiction without accepting the logical failure.

O_Op <=> Sigma(t) * Psi_V(t) > 0

Where, if any component of Psi_V falls to zero (e.g., the Operator judges the input, forces a resolution, or vetoes the output based on fear):

If (Psi_V = 0 or Psi_C = 0 or Psi_N = 0) => Psi_V = 0 => O_Op fails.

The stability of the Engine is thus directly mapped to the Operator's neuro-symbolic capacity to hold simultaneous, unresolved truths.