Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.



Unity Root Matrix Theory Latest 2112
Posted:
Dec 21, 2012 7:10 AM


Latest news
Unity Root Matrix Theory Mathematical and Physical Advances Volume I
due out early next year  end Jan/Feb 2013.
http://www.urmt.org
This third book in the series on Unity Root Matrix Theory (URMT) advances the subject into Mainstream Physics by detailing how it relates to such topics as The Special Theory of Relativity and Harmonic Oscillators.
The book starts by extending URMT's mathematical methods to handle arbitrary real and complex vectors, and then proceeds to show how Special Relativity and Oscillators can be formulated in the language of URMT. Among the results is the embodiment of Einstein's relativistic energy momentum equation in a 5D formulation, with mass emergent from a scalar potential  quite an achievement given URMT's origins in Number Theory and Diophantine Equations. Additionally, using URMT's unique variational methods, a 4D formulation naturally produces a quadratic, harmonic potential, with a consequent solution for the Harmonic Oscillator. Other topics include Lorentz Transformations and some Mechanics. The book finishes by showing how these real and complex formulations can be recast in integers, i.e. a return to URMT's integer foundations.
This book marks a significant advance in the practical applications of URMT, and is subtitled Volume I in the knowledge that more URMT Physics lies ahead.
The work requires the stuff in the first two books, including the higherdimensional extensions  most of it is in the free stuff below, so it will give you something to read over Xmas.
Unity Root Matrix Theory (URMT)
For general info. and related physics, see
http://www.urmt.org/presentation_URMT_shortform.pdf
For ndimensional, compactification, shrinking dimensions, time evolution, see
http://www.urmt.org/urmt_dimensional_compactification.pdf
For the n=2 Pythagoras case, see
http://www.urmt.org/pythag_eigenvectors_invariants.pdf
Enjoy.
Richard Miller see website for email.
Here's to Rush, today is 2112.



