  An interpretation of Mach's Principle led us to consider if it was possible
to have a globally inertial universe that was irreducibly associated with a
non-trivial global matter distribution, Roscoe (GRG,2002,34,5,577-602,
astro-ph/0107397). This question received a positive answer, subject to the
condition that the global matter distribution is necessarily fractal, D=2. The
purpose of the present paper is to show how general gravitational processes
arise in this universe. We illustrate the theory by using it to model an
idealized spiral galaxy. One particular subclass of solutions, corresponding to
logarithmic spirals, has already been extensively tested in Roscoe
A&A,1999,343,788-800 (astro-ph/0107305), and shown to resolve dynamical data
over large samples of ORCs with a very high degree of statistical precision.
However, this latter analysis led directly to the discovery of a major new
phenomenology in spiral discs - that of discrete dynamical classes -
comprehensively confirmed in Roscoe A&A,2002,385,431-453 (astro-ph/0107300)
over four large independent samples of ORCs. In this paper, we analyse the
theory to show how the discrete dynamical classes phenomenology has a ready
explanation in terms of an algebraic consistency condition which must
necessarily be satisfied. Of equal significance, we apply the theory with
complete success to the detailed modelling of a sample of eight Low Surface
Brightness spirals (LSBs) which, hitherto, have been succesfully modelled only
by Milgrom's MOND algorithm. We are able to conclude that the essence of the
MOND algorithm must be contained within the presented theory.
