Pre-registered Tensorial Splashback Prediction for the Nancy Grace Roman Space Telescope

Abstract

CSTM-SB1 is a pre-registered, pre-Roman-science-data prediction derived from the current Constitutive Space-Time Mechanics (CSTM) framework. The manuscript freezes a tensorial, gradient-localized splashback test in which clustering/dynamics and weak gravitational lensing must arise from the same constitutive Hessian and projection without sector-specific retuning. In the current analytic radial realization, the metric response begins at fourth order in the microscopic connection amplitude, followed by eighth- and twelfth-order terms; the quadratic radial branch is excluded by the documented analyticity no-go. The paper also freezes the theory-side PASS/FAIL window 0 B_crit(r). It explicitly does not claim an absolute numerical R_sp/R_200m because the current CSTM corpus does not yet specify the microscopic master Hessian K_* and lifts L_r required to compute that number without convention or astronomical calibration.