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…