APT: Observational Test of Effective Persistence

This report presents the formulation, methodology, execution, and results of the rst obser-vational tests of the APT hypothesis (Admissibility-Persistence-Transmission), developed as aclosure equation for the CLEO-LOP-COUT architecture [7, 8, 9, 10, 11]. The central objec-tive is to investigate whether an efective quantity of persistence exists that is approximatelyinvariant across independent cosmological sectors. The hypothesis proposes that observabilitydoes not depend solely on the physical existence of a structure, but on the product of threefundamental conditions: admissibility, persistence, and transmission. The tests carried out usedreal observations drawn from the cosmic microwave background (Planck TE) [1], baryon acous-tic oscillations (DESI DR2 BAO) [2], gravitational lensing combining CMB lensing (SPT-3G,ACT DR6) and cosmic shear (KiDS-1000) [4, 3, 5], and structure growth (DESI ShapeFit) [6].The results indicate an eective persistence P0 = 0.9936±0.0072, compatible with unity acrossall sectors analyzed, with no signicant evidence of temporal evolution (β = 0.052 ± 0.085,0.61σ) and with success in a blind predictive test involving the growth sector (1.02σ diferencebetween prediction and observation). A frozen numerical prediction, with explicit 1σ/2σ/3σdecision bands, is formalized for future, independent tests against the Euclid, Rubin LSST,Simons Observatory, CMB-S4, and final DESI surveys, with no recalibration and no additionalfree parameters.