The Ezekiel Engine: Mathematical Specification (Developmental Draft v0.1) — Crimson Hexagon Archive

A developmental specification for a rotational epistemology engine based on the Josephus algorithm, fixed-point theory, and witness topology. Core Architecture: Parameters: Σ (Contradiction Index), Γ (Coherence Metric), τ (Interlock Threshold = 0.80), ψ_V (Witness Stability), Ω (Fixed Point) Rotation Law: ΔR ∝ Σ/Γ (rotation proportional to contradiction pressure divided by coherence) Josephus Foundation: L_labor as elimination operator producing fixed points by structural necessity Witness Principle: Closed systems undergoing recursive destruction cannot eliminate their own validators Mathematical Foundations: The specification builds on established mathematics: Josephus Problem (Graham, Knuth, Patashnik 1994)…