Abstract

Abstract The cellular structure of the Earth's crust emits the strain waves of which the interference pattern recreates the original cellular structure of the Earth's crust. This is the loop theorem, which also explains the five preferential directions of the strain waves propagation on the Earth's crust. The strain waves form a pentagrid of which its orientation is defined by the Earth's daily rotation. Past synchronized earthquakes (that form Omega-sequences with current earthquakes) are positioned perpendicularly with respect to the wavefronts of the strain waves (pentagrid). They are thus positioned on the dual tiling to the original tiling formed by the pentagrid. This dual tiling is ordered. It can be either nonperiodic Penrose or periodic non-Penrose tiling. Near the Euler's poles related to the tectonic plates rotations occur structures called the Penrose stars. Deflation and inflation rules for the Penrose tiling develop concentric circles of earthquakes and new fault planes around the Euler's poles. Concentric circles within the earthquake interaction patterns appear and disappear constantly in an unsynchronized manner around numerous possible Euler's poles. But when such patterns synchronize their motion around one common Euler's pole the transform faults and ridge segments form and the tectonic plate boundary is formed. The Omega-Theory shows that the tectonic plates arrange themselves into the quasicrystal order.

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