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] |
In particular, what some people call a magnetic field vector
in the Z direction can be represented at least as well by
a *bivector* in the XY plane. That is, when I look through
the telescope I borrowed from William Clifford and Hermann
Grassmann, I see a different and grander truth: I see a
version of electromagnetism that does not require any
cross products and does not require any right-hand rule.
Whereas the cross-product machinery only makes sense in
D=3+1 (three space dimensions plus time), the geometric-
algebra machinery makes perfect sense in D=2+1, D=3+1,
and indeed D=N+1 for all N>=2.