Gamma Theory v90: An Observational Cosmology Protocol for Testing the Ebihara–Go Phase Transition

This paper presents an empirical protocol for testing the extended Friedmann equation and the Ebihara–Go Phase Transition, derived in Gamma Theory v80, using observational cosmology data. The phase-transition condition ν ≷ ||ξ(z)||²/(4η) governs both the emergence of selfhood in recognition dynamics and the acceleration transition of the universe. The protocol integrates H(z) measurements, CMB constraints, and gravitational-wave dispersion into a unified likelihood model. Hierarchical noise models, prior distributions, MCMC sampling procedures, and the estimation method for the transition redshift z_trans are systematically defined. This work establishes the methodological foundation for empirical testing, while the actual data analysis is reserved for future work (v120).