[Depreciated and replaced by V3] What a Self Is: The Hard Problem and Binding Problem Resolved as the Fold Reaching Unison

[Depreciated and replaced by V3] This pre-V3 paper is replaced by the corresponding V3 clean-room reconstruction: From Fold to Consciousness: An Exact, Zero-Parameter and Machine-Closed Foundational Reconstruction of Consciousness and Cognitive Science from Smithian Fold Theory. The V3 source platform is https://github.com/MettaMazza/ernos-labs-sft-platform. The original DOI, concept DOI, version number and files are preserved for transparent historical provenance; this record must not be presented or cited as current V3 work. A self is derived as a closed two-to-one relation that holds a whole bound image of itself. The carrier cycle 1/3 and 2/3 partitions the One, balances at 1/2 and folds to unison. Its closed orbit supplies interiority: the whole is held while no carrier state reaches an external view of it. The complete criterion uses distinct observer and observed states 1/4 and 3/4. Both fold to the shared lock 1/2, together span the One, and complete to unison. Measurement joins the same chain through 1/8 to 1/4 to 1/2 to 1. No separate observer substance or operation is inserted. From one machine-checked self-proven theorem, zero axioms and zero fitted parameters, the paper resolves unity and first-person structure together and supplies an executable consciousness criterion for biological and artificial systems. Scientific author and publication authority: Maria Smith, Ernos Labs. Open source: Smithian Fold Theory of Everything.