Lorentzian Branch Selection Audit: Kinematic Families, Conditional Selectors, and a Fail-Closed Classification

Abstract

This technical research note audits whether the physically realized finite Lorentzian kinematic branch can be selected from principles genuinely weaker than a finite invariant signal speed, Lorentzian causal cone, Lorentzian signature, or target-equivalent input. The generalized one-parameter inertial family admits hyperbolic/Lorentzian, Galilean and elliptic branches. Hyperbolicity, causal order, stability and unitarity, no-signalling and information locality, and several emergence mechanisms are tested against explicit negative controls. An independent adversarial audit corrected an earlier causal-incomparability overclaim and confirmed that no reviewed route supplies a generic noncircular selector. The terminal global classification is NOT_ESTABLISHED: the record neither derives the finite Lorentzian branch from genuinely weaker principles nor proves that the branch is an irreducible empirical primitive. Restricted conditional selectors are preserved within their declared assumptions. Novelty status remainsThis work has not undergone formal peer review. NOVELTY_NOT_ESTABLISHED.