Wave and metric
• One may imagine to attempt to describe an experiment like this of
Young's fringes by searching if it may exist a metric such as, in
the
considered space, the
flux of the photons would be very simply “uniform” (that is to say
that
interference fringes would result solely from the shape of
geodesics) ;
the generalization of this way of research
would obviously require to consider a
different metric depending on the type of studied interaction.
It is not this approach which is considered here, but the
investigated
idea is that in some manner (which remains to define) the quantum
wave
“is” the space metric.
• Furthermore, I am not far from thinking that it is vain to search
a
quantum theory of gravitation, of spin 2, since this one would be
only
an average effect of the second order corresponding to the
statistical
compensation
of first order interactions, of spin 1, that may be summarize by the
simplistic notation : (1+x)(1-x) = 1-x2. An
other way to present this idea may be to consider the focalization
devices of the beam (in particles accelerators) constituted of
alternate gradients magnets : the first order compensation of
convergences and divergences leave a global effect of
focalization ; another more may be to quote the statistical effect
of
the actions of programmated automatons [1].
Thus, if the suitable quantum theory and space are found, the
quantum
gravitation will be there without a need to search it.
This is probably not independent of the other formulation
according to which the gravitation might be an effect of the vacuum
fluctuations
(of zero mean at first order, but a second order effect of which
would
be the gravitation) ; suggestion put forward among others by
Sakharov
[2].
• One can finally wonder whether this kind of approach is related or
not to the analogy of observed behavior : on one hand between the
diagrams of the quantum theory of gravitation, on the other hand
between the combinations per pairs of gluons diagrams (in quantum
chromodynamics) [3].
__________________
References :
1. see as example : “les agents intelligents”, Ph. Mathieu, S.
Picault and J.-C. Routier, Pour la Science n° 332, june 2005.
2. see as example : “secouer le vide pour créér
de la lumière”, A. Lambrecht, La Recherche n° 295,
february
1997, and quoted reference (not
verified) : A.D. Sakharov, Soviet Physics, Doklady, 12,
1040, 1968.
3. “boucles et arbres, à la recherche d'une nouvelle
physique”, Z. Bern, L. Dixon and D. Kosower, Pour la Science n°
420, october 2012.
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