ETE XIII — Observational Signals and Falsification Protocols (how to test a discrete elective space–time with finite phase)

This paper takes ETE—a discrete kinematics and dynamics based on integer counts,
per-layer zero-sum, and a finite W(E8) phase—from the theoretical to the experimental realm.
We propose falsifiable signals with complete measurement protocols: (i) laboratory (multipixel
interferometry, ultracold matter, discrete spectral shifts), (ii) astrophysics/cosmology
(bounded dispersion in gravitational waves, a discrete “knee” in weak lensing, an octahedral
aliasing bound in the CMB), and (iii) a full analysis pipeline with error metrics, bias
controls, and falsification criteria. All predictions are formulated with finite blocks (windows
(T, S)), rational/integer relations, and continuous limits only as effective approximations. We
standardize null models, estimators, and decision thresholds to make every claim reproducible.