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In Geometrical Physics Bthe reader will find our
personal approach, towards building a group acting on ten-dimensional space,
this work being closely related to matter-anti-matter geometry.

Additional dimensions ? Which ones
? What could be their physical meaning ? Could we measure it ?

In his works (G�ometrie et
Relativité, Hermann-France Ed. 1964, Structure of Dynamical Systems,
Birkhauser 1997, and Dunod-France 1973) the french mathematician Jean-Marie
Souriau has widely extended physics in a five dimensional context. Then
one has the four classical dimensions ( x , y , z , t ) of space-time,
plus an extra-dimension z
. This last was primarly introduced by the polish Kaluza in the 1920'.

Surperstring approach is an attempt
to extend Kaluza trial to six more dimensions. Why 4 + 6 = 10 ? Because
group and symmetries constraints.

When a physicist wants to make expriments
he asks :

• How much energy do Ineed ?

Energy is linked to frequency and wavelength, through :

The smaller is the wavelength, the
bigger is the energy.

The physicists looked upon these additional dimensions,
searching what could be the associated characteristic length, hence the subsequent
associated characteristic energy. They found :

The Planck's length : 10-33 cm

Definitively ugly. To give to particles
such energies you need an accelerator as big as our galaxy.

• Normal, says Michio Kaku, in his
  book "Hyperspace", Oxford University Press, 1994. We deal with future physics.
  Superstring corresponds to next centuries' science.....

• Hmmm.....

Strange new discipline. Some years
ago Iwas at Souriau's home. He showed me the proceedings of a meeting
devoted to superstrings. On the first page, the chairman had declared :

• Although this new science cannot
  predict anything nor interpret any observation or experiment, when we consider
  the increasing number of papers published in the field, it's a symptome
  that shows its great vitality and dynamism.

Souriau is easily sarcastic, but
always with a good sense of humor. About today's theoretical physics, he
has his own and short definition :
Mathematics without severity.

Physics without experience

He thinks that since Feynmann's works fifty years of null-physics
have past.

(98)

Theoretical physics : "Mathematics without severity.
Physics, without experience".

The kingdom of research.

Is it something rotten in the kingdom
of research ?

Today, there are more alive scientists
than all who worked in the whole history of Science. Which one will write
his name in books, in golden letters ?

Between 1895 ( when natural radio-activity
was discovered in France by Henri Becquerel ) and 1932 (when the British
Chadwick discovered the neutron) it's only been 37 years. During such short
time the scientific panorama has been totally changed. Everybody knows
that.

I'm writing in 1998. What have we
discovered that's so great since 1961, thirty years ago ?

Of course, we have sent people to
the Moon, we make micro-computers, cd-roms, we have radio-telephone, we
have biologic engineering, and so on.. But they are technologic developments.
No really new basic idea. No revolution.

Science seems jailed in a golden paradigm.

After the second world war the system
of anonymous referee's system was generalized. The official idea was to
protect the independence of the required referee, the expert whose charge
was to decide if a paper could be published or not.

Then, when you want to publish something,
the rule wants you to submit your paper to some Journal, who calls in an
expert. After a month, or two, the answer comes back.

Ihave published dozens of papers
in my life. If the work is conventional, it is relatively easy, but if
you frankly go west, search "the physics at the west of the Pecos", if
you try to search something really new, you get serious problems.

In fact, you have no problem at all. The answer comes back
quickly :

Sorry, we don't publish speculative works.

No expert was chosen. Your paper
was not reviewed. Why ?

Because top level journals receive too much papers, daily.
Nature receives 100 papers each morning. Physical review, a dozen. How do you
think they can manage that ?

Next, historical references.: