why is it unlikely that some of the tectonic plates will stop moving
There's nothing to stop them moving.
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It is unlikely that some of the tectonic plates will stop moving because the movement of these plates is driven by the process of plate tectonics, which is fueled by the convective movement of molten rock deep within the Earth's mantle.
To understand why it is unlikely for the plates to stop moving, we need to understand the basic concept of plate tectonics. The Earth's lithosphere, which is broken into several large and small pieces called tectonic plates, floats on the semi-fluid asthenosphere underneath. These plates are constantly moving, albeit very slowly, due to the convection currents that occur in the underlying asthenosphere.
The main driving force behind plate tectonics is the heat generated by the decay of radioactive isotopes in the Earth's core. This heat causes the molten rock in the asthenosphere to rise and cooler material to sink, creating convection currents. As the hot material rises, it pushes the overlying plates apart at mid-oceanic ridges, creating new crust. On the other hand, as the cooler material sinks, it pulls the plates together at subduction zones, where one plate is forced beneath another.
This continuous cycle of heat transfer, convection, and plate movement has been ongoing for billions of years and is unlikely to cease unless there are significant changes in the Earth's internal heat source or the structure of the lithosphere.
Given the vast scale and immense forces involved in plate tectonics, it is highly unlikely that all tectonic plates will stop moving completely. Even if the movement were to slow down significantly, there would still be residual forces and residual heat within the Earth that would continue to drive some form of plate motion.
To conclude, while plate movement can vary in speed and direction over geologic time, it is unlikely for all tectonic plates to stop moving due to the ongoing processes of convection and heat transfer within the Earth's interior.