This second book on Unity Root Matrix Theory extends its original three-dimensional
formulation, as given in the first book, to an arbitrary number of higher dimensions.
Unity Root Matrix Theory is formulated with strong adherence to concepts in mathematical
physics and it is thought it may provide a discrete formulation of physical phenomena
at the Planck level and upward. Consequently, it is essential that the theory incorporates
the geometric dimensionality present in established physical theories. In particular,
it must naturally embody the four-dimensional spacetime of Special Relativity, the
five dimensions of Kaluza-Klein theory, and the eleven or more dimensions of Grand
Unified Theories such as String Theory.
Not only has an n-dimensional extension of Unity Root Matrix Theory successfully
been achieved, whilst retaining all the three-dimensional mathematical and physical
properties detailed in the first book, but a complete n-dimensional solution has
been obtained which exhibits the geometric property of compactification, or dimensional
reduction. This solution shows that dimensional shrinkage of higher dimensions may
occur over long evolutionary timescales.
The emergence of compactification and other physical phenomena gives further confidence
that n-dimensional Unity Root Matrix Theory may, indeed, offer a discrete formulation
of Physics starting at its most elemental level.