  This is the first version of a submission made to vixra back in August 2009.
It is concerned with the exploration of various ideas due to Roy Frieden of the
University of Arizona in his manuscript "Physics from Fisher Information",
which was originally published in December 1998 by Cambridge University Press.
In addition to exploration and investigation of same, a key aim of this article
is/was to further develop the ideas mentioned in the aforementioned work, as
well as explore various exotic differentiable structures and their relationship
to physics. Apart from the original component of this manuscript, a series of
survey chapters are provided, in the interest of keeping the treatise
self-contained. The first summarises the main preliminary results on the
existence of non-standard structures on manifolds from the Milnor-Steenrod
school. The second is a standard introduction to semi-riemannian geometry. The
third introduces the language of geometric measure theory, which is important
in justifying the existence of smooth solutions to variational problems with
smooth structures and smooth integrands. The fourth is a short remark on PDE
existence theory, which is needed for the fifth, which is essentially a typeset
version of a series of lectures given by Ben Andrews and Gerhard Huisken on the
Hamilton-Perelman program for proving the Geometrisation Conjecture of Bill
Thurston.
