Copyright © 2000 David E. Rutherford
All Rights Reserved
Added the four-dimensional permutation symbol term,
, to both
(12.8) and (12.9). Otherwise, (12.8) and (12.9) are unchanged.
Added "
is the four-dimensional permutation symbol" after (12.8).
Added the paper submitted to Physical Review Letters on March 1, 1999 (First Edition).
Added this section and renumbered sections 18 and 19 to sections 19 and 20, respectively.
Added text to this section, otherwise it remains unchanged.
Added equations (18.7), (18.8), and (18.16) describing the products
,
, and
, and
,
, and
along
with associated text.
Changed the positive sign preceeding the term
in (12.8)
and (12.9) to a negative sign.
Changed the "+" and "-" signs preceeding some of the terms in (6.1) to the
combination signs
"
" and
"
" (plus/plus
and minus/minus), along with associated text.
Added the generator of the components of the electric field four-vector,
. Note
that the signs associated with the terms on the right-hand side of (11.1),
actually are the combination signs associated with the transformation matrix
(6.1), but as mentioned in section six, only one of the signs will be used
for simplification. However, before performing any mathematical operations
using (6.1) or (11.1), we must reintroduce the proper combination signs.
Explained that the electric field four-vector equation (18.14) is a combination of two sets of multiplication rules reflecting the changes in (11.1).
Reversed sides of the terms in (18.14), (18.18), and (18.19).
Changed,
,
to,
.
Changed the definition of the spacetime interval,
, back to the
Third Edition definition, that is, it is defined as in (3.2). Therefore,
if
, in (3.2),
even though the spatial part of
is zero, the
potential remains finite.
Copyright © 2000 David E. Rutherford
All Rights Reserved
E-mail: drutherford@softcom.net