Re: MOND-like effect of not assuming flatness at infinity

In my previous posting, I assumed the function f(m/M) to
be the square root simply in order to match MOND.

However, if the surface area of a sphere surrounding the
mass is assumed to have exactly a fraction m/M missing,
then the effective radius of the sphere has been contracted
by a factor sqrt(1-m/M). This forms the cosine of the
angle by which the cone deviates from flatness, so the
sine of the same angle (and the angle itself in radians)
is equal to sqrt(m/M).

This therefore provides a model which gives the
same predictions as MOND but with a single physically
meaningful parameter (the mass M of the universe)
rather than an arbitrary acceleration parameter.
At the same time, the geometric model in terms of
cones might help to make it easier to analyze situations
involving multiple sources, such as clusters of galaxies.

.