Spin Set as Coherence Disclosure Coherence Geometry and Spin State Probabilities Sections 162 through 165

We now construct an explicit single-spin realization of the proposed disclosure map. The construction connects an oriented plane, a rotor, a quantum state, and measurement probabilities. Its main result is conditional: standard spin predictions follow once the geometric representation and the rules for statistical mixtures are specified. We identify those inputs rather than treating them as consequences of coherence alone.