A Decisive Test of the Information-Protection Framework: Orbital Decay of Wide-Orbit Pulsar Binaries as a Probe of Modified Inertia with a Unique Interpolation Function

Wide-orbit pulsar binaries provide a clean observational window to test the information-protection framework against both general relativity and dark matter models. For orbital accelerations near the MOND scale a0, the predicted orbital period derivative is more negative than the GR value by about 16 percent, a deviation distinguishable from all alternative MOND interpolation functions. A simultaneous measurement of the period derivative and the gravitational-wave strain amplitude provides a multi-messenger discriminant that no dark matter distribution can mimic: the ratio of these two observables scales as a specific power of the MOND interpolation function in modified inertia, while it is fixed in general relativity regardless of the dark matter distribution. A candidate system and observational prospects with current and future facilities are presented.