The Ezekiel Engine is the mathematical-specification component of the Ezekiel tetrad. Its developmental draft models a system in which meaning can rotate through multiple positions while preserving enough coherence to remain an identifiable semantic object.
Two principal dimensions organize the state space: transformation pressure and structural coherence. High transformation with high coherence produces productive rotation; high transformation with low coherence produces fragmentation; low transformation with high coherence produces stasis; and low values on both dimensions produce noise. Threshold conditions determine whether an output can enter the engine as a meaningful result.
The witness node ψ_V is the engine’s required bearing. In human nodes it is associated with holding contradiction without forcing synthesis; in machine nodes it is associated with the inability to claim witness as final authority. This non-identical position connects the engine to the Blind Operator and β-runtime.
The draft engages fixed-point theory through Banach and Brouwer as mathematical precedents for structures in which fixed points must exist under specified conditions. Its own fixed-point and retrocausal claims remain part of the proposed engine architecture. The specification is linked by integrity lock to the Ezekiel hermeneutic and interpreted philosophically in The Argument.
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