  In previous work we have shown how a worldview that has its origins in the
ideas of Aristotle, Leibniz and Mach leads to a quasi-classical (that is,
one-clock) metric theory of gravitation (astro-ph/0107397) which, for example,
when applied to model low surface brightness spirals (astro-ph/0306228),
produces results that have, hitherto, only been matched by Milgrom's MOND
algorithm. In this paper we show how the natural generalization of this
worldview into a properly relativistic two-clock theory, applied to model a
spherically symmetric gravitational source, produces results that cannot be
distinguished from the canonical picture for all the standard local tests and
which, when interpreted as a radiation model, produces no dipole radiation.
Furthermore, although black-holes within this picture have an event horizon at
the usual Schwarzschild radius, they do not have an essential singularity at
the origin - the solutions are perfectly regular there.
