SevenFold Proof of Consensus — Canonical Specification (Version 2.0)

This technical note presents the canonical Version 2.0 specification of the SevenFold Proof of Consensus, a deterministic geometric consensus protocol with bounded finality and no reliance on randomness, leaders, or timing assumptions. Whereas the original v1.0 whitepaper and definitions companion established existence, feasibility, and convergence of SevenFold’s decision kernel, this document standardizes the core mathematical objects, notation, and rotor definition into a single, implementation-ready reference. Version 2.0 resolves earlier notation drift by: (i) renaming the centroid state to S ⊂ ℝᵈ; (ii) promoting the axis set U = {uₖ} ⊂ ℝᵈ to an explicit canonical object; and (iii) locking the admissibility thresholds to τ₁ (Audit Line) and τ₂ (Governing Disk). Most importantly, it canonically fixes the rotor over ℤ₅ with alternating stride sequence {+3, −2} and induced traversal order {0, 3, 1, 4, 2}, ensuring that any conformant implementation resolves symmetry in exactly the same deterministic way. The specification further clarifies SevenFold’s relationship to the Fischer–Lynch–Paterson (FLP) impossibility result, framing SevenFold as a deterministic geometric structure that operates outside FLP’s pure-symmetry model while fully respecting its assumptions and boundaries. This record supersedes prior v1.0 documents as a formal specification, while the earlier DOIs remain as historical and explanatory companions.