Abstract
Abstract Omori's law describes the frequency of earthquakes before or after the main shocks. The origin of Omori's law has been debated for decades. The Omega-Theory shows that Omori's law is a natural consequence of the existence of geometric Omega-sequences. It appears that the geometric progression of earthquakes is equivalent to Omori's law. Therefore this law is not some fundamental law of earthquake occurrence; rather, it can be derived directly from Bath's law, which describes the fault/wedge interactions. Within the Omega-sequences, earthquakes are predictable events. Their frequency is given by Omori's law. From a mathematical point of view the Omega-sequences are constructible sets of events. Earthquakes within the Omega-sequences are predictable. Earthquakes that are not part of any Omega-sequence are nonpredictable.
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