From Possibility to Measurement Foundations of a Structural-Realist Ontology of Physical Reality

We present a minimal ontological framework — the Quantum Reality Framework (QRF) — that motivates and constrains central structural features of quantum mechanics from a single primitive: possibility with actualization possibility and actualization disposition, all three inseparable. **New in v30:** Four advances. (1) Task 2 is restructured: 2a is closed; 2b is superseded by the stronger v28 result (geometry necessarily emergent) and reformulated as a uniqueness problem; 2c is retained and sharpened. (2) The derivation of κ_crit is substantially advanced: κ_crit = exp(−g·φ_fund²) is no longer a conjecture but a structural consequence of the condition that physically realizable actualization steps must carry the minimum compatibility of a topologically stable object. Physical realizability = topological stability = minimum compatibility of the fundamental loop generator. (3) Task 5 is identified: does π₁^κ in 3D carry SU(2)-representations? If yes, QRF derives the fermion-boson distinction — not as a postulate but as a topological consequence of the 3D compatibility structure. (4) The task dependency structure is made explicit: Task 5 is the prerequisite for Task 4a; both are downstream of Task 2c. The framework proposes the testable prediction γ_obs/κ = E/ℏ.