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Mirrors. "PT-theorem".

We found our first mirror
in 2d world.
(142)

But the image of an image,
through a succession of two mirrors, is identical to the initial object :

(143)

Same thing in 3d :

(144)

...We
said that 4d-structure were comparable to animated holograms. In a way, you,
me, are animated holograms. We are 4d structures. We are oriented in space
( if I remember, the liver in on the right ) and in time. We can appreciate
what is "right", what is "left", what goes from past to future, avec what
goes backwards in time.

If you meet an enantiomorphic
human creature, the test is simple : look were is his liver.

...The
chronologic test is more difficult. But, normally, if you talk with an antichron
man, after a while, you will remark that :

  • He knows enerything you are going to tell him.
  • He ignores your precedent sentences.

( If he seems to know
everything, he's God, by definition ).
Suppose an animated hologram
meets another animated hologram. He can look at it through an ordinary looking
glass. He can look at it through a time mirror .
See :
[1] : J.P.Petit : Univers enantiomorphes à flèches du temps
opposées. French Comptes Rendus de l'Académie des Sciences de
Paris.t.284, serie A, 1977, p.1315 ( Enantiomophic universes with opposite
time's arrows )

[2] : J.P.Petit : Univers en interaction avec leur image dans le miroir
du temps . French Comptes Rendus de l'Académie des Sciences de Paris.t.284,
serie A, ( 6 june ) 1977, p.1413 (Universes interacting with their image in
a time-mirror).

Consider the movement of the Moon around Earth :
(145)

Consider the mirror-image
of this system :
(146)

Then reverse the time
:
(147)

The movement of the Moon
and its PT-symmetrical are identical.

...Physically
: Imagine you can take a movie of it. You seat at distance and film the movement
of the Moon around the Earth. Then you make a copy of the film. You use two
projectors. In the first you introduce the film with correct orientation.
In the second, you turn the film, reverse the space orientation of the frames
:
(148)

Notice : this movie corresponds
to a 3d space-time ( x, y, t ).
Then, when projecting
the images of a screen, you reverse the chronology of the second series of
frames.
(149)


God is a giant
snail whose pedunclar eyes are each connected of half interacting brains,
with opposite biologic clocks.

(If you have another definition,
send ot by e-mail. We will publish
it, mentioning the author, of course ).


Index Dynamic Groups Theory