Minkowski, Quaternions,  Bicomplex Numbers

Welcome to a new way of looking at the geometry of space-time. Yes, non-Euclidean 4 dimensional geometry can hurt your brain  - but I've tried to pitch this at 1st-year undergrad level and explain it all step-by-step (for my benefit as much as yours, to be honest).    1.  The Geometry of Bicomplex Numbers. Find out where bicomplex numbers come from, and how to make one (geometrically speaking).  Study the first (correct) derivation of the modulus of a bicomplex number (but tell me if you got there before me!) View the maths : Commutative Quaternions and Minkowski (published 3rd January 2003.   Date of publication has been independently recorded.) 2. From Numbers to Dark Matter (via Gravity). All those bicomplex numbers make you think about number 'growth'  -  between dimensions as well as within. Is number really System Theory?   See what that tells us about Space and Gravity (the link below summarises some topics from my forthcoming book). Read about the theory of  Gloopy Space : Dynamic Number and Dark Matter (published 16th February 2007.   Date of publication has been independently recorded.)

more to it than meets the i

Mail the author : tim01.shelton-jones@virgin.net

My name is Tim Shelton-Jones.  I am a mathematician (amongst other things) currently grappling with some promising ideas in number theory.   I assert that I am the sole author of this website, including the two pages linked to on the right.