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We conduct a comprehensive spectro-temporal analysis of repeating Fast RadioBursts (FRBs) utilizing nine distinct sources, the largest sample to date. Ourdata set includes 175 sub-bursts and 31 multi-component bursts from 11 datasets, with centre frequencies ranging from 149-7144 MHz and durations spanningfrom 73 \mu s-13 ms. Our findings are consistent with the predictions of theTriggered Relativistic Dynamical Model (TRDM) of FRB emission. We affirm thepredicted quadratic relationship between sub-burst slope and frequency, as wellas a linear dependence of bandwidth on frequency that is consistent withmildly-relativistic Doppler broadening of narrow-band emission. Mostimportantly, we confirm the sub-burst slope law, a predicted inverserelationship between sub-burst slope and duration, to hold consistently acrossdifferent sources. Remarkably, we also discover that the drift rates ofmulti-component bursts follow the same law as the sub-burst slopes, anunexplained result that warrants further investigation. These findings not onlysupport the TRDM as a viable framework for explaining several aspects of FRBemission, but also provide new insights into the complex spectro-temporalproperties of FRBs.

Validating the Sub-Burst Slope Law: A Comprehensive Multi-Source Spectro-Temporal Analysis of Repeating Fast Radio Bursts