Quantitative Predictions for the Einstein Telescope: The Radiated-Rotational-Memory Energy Triplet in Black Hole Mergers

We present three falsifiable predictions concerning gravitational wave observations by the Einstein Telescope (ET). We demonstrate using LIGO-Virgo-KAGRA data (GWTC, 171 binary black hole mergers) that including remnant spin energy in the thermodynamic energy budget reduces dispersion from 20% to 5%. We predict that the remaining dispersion will vanish when the gravitational wave memory effect becomes measurable. Three predictions are formulated: (1) thermodynamic exactness of the radiated-rotational-memory triplet, (2) statistical independence of the three energy components, and (3) a mass-independent regime change in the merger rate at redshift z~10-15. All predictions include explicit falsification criteria.