
The fine-structure constant α ≈ 1/137.036 has no derivation in the Standard Model.This paper presents a four-step derivation from the Canon unified field theory’spressure axiom to the golden angle θ_φ = 360°/φ² ≈ 137.508°, closes the 0.47° gapthrough torsional slip in a funneled-spring recursion (Version 3), adds the slip-timeinterpretation (Version 4), and now adds two conceptual refinements (Version 5):(1) the gap θ_φ − 1/α = 0.472° is identified as the slip operator — an identity, not acorrection; and (2) the causal order of the recursion is stated explicitly: Tension →Surplus → Torsion → Slip → Acceleration → Maintained Motion, where slip is thecause of acceleration and acceleration refers strictly to the restart of theelectromagnetic recursion into the next coherence interval. The mean rate of thatrestart is a = g²/ω, derived from existing operators with no new parameters.Version 5 introduces no new mathematics. The self-consistency condition 1/α =360°/φ² − 2g/ω is numerically verified to a residual of −8.45×10⁻⁶°. The singleopen parameter g/ω = 0.004117 rad has not been evaluated from first principles.That evaluation remains the open problem.Scope and version history. V1: identified the 0.47° gap; proposed quantumcorrection hypothesis. V2: derived the discrete-spiral operator; provednon-circularity. V3: replaced multi-operator correction with the slip mechanism in afunneled spring; same numerical result, physical picture complete. V4: added theslip-time interpretation; t_coh and g/ω shown to be a single parameter; dimensionalanalysis of the coherence time. V5: identified the gap as the slip operator (identity);stated the canonical causal order; derived the mean EM recursion restart rate a =g²/ω. The mathematics of V3 is unchanged throughout.
Ontology, Physics, Mathematical physics, Physics/methods, Quantum physics, Nuclear physics, Particle physics, Physics/standards, Theoretical physics, Atomic physics
Ontology, Physics, Mathematical physics, Physics/methods, Quantum physics, Nuclear physics, Particle physics, Physics/standards, Theoretical physics, Atomic physics
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