From Nothing to Fold: A Premise-Free, Parameter-Free and Machine-Closed Foundation for Smithian Fold Theory

Foundation Branch Paper 001, version 1.3.0, preserves the complete sixteen-theorem Foundation record while publishing its full-field extension roadmap. The 5,222 candidate decisions, 64 adverse controls, 16 independent reproductions and 32/32 prior obligations remain unchanged and fully traceable. The root-traceable chain runs from the premise-free operational root through structural One, exact positive count and parts, the minimal Fold, exact operations, half-One, two-preimage dynamics, mechanically scoped primitive uniqueness, recursive form closure, replayable proof traces, one-way measurement custody and the unique fail-closed admission route. No axiom, fitted parameter, numerical zero, signed proof magnitude, irrational or imaginary proof value, floating proof equality or measurement-selected law is admitted. Version 1.3 distinguishes current-evidence completion from permanent closure. It registers continuing work on grammar reach, induction, constructor uniqueness, proof portability and adversarial authority studies without replaying, weakening or rewriting the admitted Foundation. The paper integrates Maria Smith's authorship outside credentialed and funding access with an evidence-based argument for transparent, reproducible science against paywalls, opaque oracles and capital-driven knowledge restriction.