Convergence Selection Theory (Socket Determinism): The Structure of "Water" Across Quantum, Fluids, and Prime Numbers

Convergence Selection Theory (Socket Determinism) proposes a structural interpretation layer for branching phenomena that are often described in the language of probability, instability, or admissibility. Its core claim is limited and audit-first: in some settings, branching may be read as a structurally filtered distinction between admissible and non-admissible progression, provided that the observation-point, coordinate frame, and readout criterion are explicitly fixed. The manuscript develops two application domains: (1) a Navier-Stokes setting, where branching is read as retention or loss of admissibility relative to a chosen readout quantity; and (2) a Riemann-type structural setting, where vertical progression is read as admissible or non-admissible relative to a chosen axis and structural channel. This record does not claim: - a replacement of standard quantum mechanics, - a proof of the Riemann Hypothesis, - Millennium closure for the Navier-Stokes problem, - or the elimination of probabilistic formalisms from operational science. Files included: - MAIN manuscript (PDF/DOCX) - Supplementary Information (PDF/DOCX) - INSTALLME- RELEASETAG External integrity companions are issued separately: - SHA256 file- detached PGP signatures- public key