| 10 |
(136b)
(136c)
Let us return to :
(136d)
i.e to the PT-group.
Then, is such space, There are uniform rectilinear moves.
The PT-group :
(137)
is built from the
(138)
(Space oriented,
time-oriented group).
..Geometrical
objects of such a space are movements . This group acts on movements.
Later, we will only consider particles' movements, but, in general, a geometrical
object of space time is some sort of hologram animated is time. There are
sets of (xi , yi , zi , ti ) points which are called event-points .
Clearly, the PT-group
contains terms which describe some symmetries :
(138b)
P-symmetry ( Pfor "parity"
) refers to space orientation. The action of the first matrix reverses space,
gives :
(139)
The second reverses the
time-arrow :
(140)
The third is :
(141)
which reverses both space
and time.
...We
will refind similar components with the four components "complete Lorentz
group", further. From the latter we will build the complete Poincaré
Group, which is the tool to build relativistic elementary particles.
...Clearly,
PT-group can "create" antichron movements, reverse the arrow of time, through
Tand PT symmetries . In the following we will search if these antichronmovements may correspond to real paths or not.
Index Dynamic Groups Theory