Abstract
In this paper we present a new point of view on space–time–matter (STM) theory. First, some weak points from earlier research papers on STM theory are presented. Then, we obtain in a covariant form the fully general \(4D\) equations of motion for STM theory. This enables us to classify the \(5D\) motions and to give a new definition of the fifth force in \(4D\) physics.
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