Maxwell's equations
Thanks George.
Can you tell me what the equations look like in the quaternion algebra.
Do you know why all the textbooks use partial derivatives and vector calculus? The quaternion system seems so much simpler.
hyperbolic numbers
Thanks for that. The algebra I have got in mind not only permits division but it is possible to define a four-dimensional differential calculus.
If I make a four-dimensional potential function and take the first derivative I get a mathematical object consisting of sixteen...
I tried to represent the Lorentz transform which converts a pair of space-time co-ordinates (ct,x) to (ct',x') as a function of a complex variable i.e
ct' + ix' = f(ct + ix)
Unfortunately the rules of complex algebra do not permit this because the complex product is defined as
(a +...