A thorough analysis of composite inertial motion
(relativistic sum) within the framework of special relativity leads to the conclusion
that every translational motion must be the symmetrically composite
relativistic sum of a finite number of quanta of velocity. It is shown that
the resulting spacetime geometry is Gaussian and the four-vector calculus to
have its roots in the complex-number algebra. Furthermore, this results in superluminality of signals travelling at or
nearly at the canonical velocity of light between rest frames even if
resting to each other.
equivalence principle suggests that gravity and acceleration (centrifugal
force) are indistinguishable from each other and, therefore, equivalent. We
maintain that they are not only equivalent, but even identical, or to rephrase
the main statement of this work: A gravitational force does not exist. Rather,
gravity is a fictitious force, or, more pointedly: Gravity is the centrifugal
force which acts upon material bodies within the rotating S3-hypersphere of the
Universe. These in turn warp the adjacent space-fabric, shaping it to the
well-known field geometry of general relativity.