Aureus Binarii Calculus Derivii; Ecce Fideli Gravitas Humo!

This paper proposes a triadic mechanics of form: distinction (a primitive binary cut that opens alternatives), delineation (the stabilization of the cut into boundary and principle), and determination (an emergent balance among interacting boundaries that becomes a condition for further operation). A formal instance (The General Mechanics of Determination) is developed in which a bounded state ψ ∈(0,1) (a determinacy index) induces a multiplicative potential O= Odds(ψ) ∈(0,∞) and an additive gauge Φ = BlnO. An additive segment-label map E (work-ledger) together with a transfer compatibility axiom forces the exponential multiplier m(a) = exp(a/B) and the canonical weld Φ(y)−Φ(x) = E(g), ψ= σ(Φ/B). Beyond this scalar kernel, an abelian obstruction class measures “difference in repetition”: when [ω] = 0 the regime is classical-like in the internal sense that ledger+endpoints are compositionaly complete (scalarization), while when [ω] ̸= 0 the scalar ledger is incomplete and word-level holonomy supplies a necessary non-scalar invariant (non-scalarizability). For electron-type classes, non-classicality localizes to the unique minimal invariant core A: off-core the obstruction trivializes and scalar closure holds, while on-core holonomy-witness loops persist with zero scalar cost. The broader thesis is that truth remains primitive, yet determination can be mechanically complete as a closed, revisable accounting whose failures of scalar closure are themselves structurally legible and localizable.