Chronology | Current Month | Current Thread | Current Date |
[Year List] [Month List (current year)] | [Date Index] [Thread Index] | [Thread Prev] [Thread Next] | [Date Prev] [Date Next] |
Using w = ict, the usual Lorentz xform can be written as:
x' = g(x+ivw/c), and w' = g(w-ivx/c) where g =SQR(1/1-(v/c)^2)
This can be written as the explicitly orthogonal xform:
x' = xCOS(Q) + wSIN(Q) , and w'= wCOS(Q) - xSIN(Q),
where Q is the imaginary angle :
COS(Q) = g , and SIN(Q) = ivg/c
one can maintain the orthogonality of x vs w and x' vs w' axis
pairs in spacetime diagrams.