Experimental Tests of the β-Field — A Hierarchy of Curvature-Feedback Detection Methods

The curvature-feedback constant β defines the rate at which the universe erases its own distortions—the speed of self-correction that distinguishes matter from vacuum. This paper organizes all feasible experimental approaches for detecting β into a four-tier hierarchy, ranging from attosecond spectroscopy to long-term curvature resonance.Tier I targets finite-β signatures within atomic systems: isotopic β-shifts, orbital re-coherence times, and 4π rotational periodicities in photoelectron phase maps.Tier II extends to mesoscopic β-synchronization across superconductors, excitonic condensates, and quantum-Hall systems, testing whether multiple finite-β domains can share curvature feedback through the vacuum.Tier III explores deliberate β-perturbation using ultra-intense fields and plasma vortices, seeking transient curvature delays beyond standard QED predictions.Tier IV outlines coherent β-resonance—the theoretical limit in which the vacuum’s own self-correction rate becomes the driven variable.Measurement standards, data criteria, and cross-tier scaling laws are defined to ensure falsifiability and comparability. Together these tiers transform the curvature-feedback model from concept to experiment, offering a path to determine whether geometry itself possesses a measurable rhythm of self-restoration—and whether that rhythm underlies the coherence of all matter and space.