Particles


• During the years 1975-80, when the models founding the study of elementary particles upon the quarks was in wide development, but that evidence for a direct observation of such constituents was long to come, I wondered if it was not possible that the quarks would not exist as such particles. Indeed, It may be conceived that these “quarks entities” would describe some symmetries of interactions, but without necessary consequence that some corresponding corpuscles would exist.

I was guided in this approach by the analogy with electromagnetism, for which the magnetic effects are some complementary components of the electric field, with this particularity that there exist electric charges but not magnetic charges (in the “standard” models). In the same time moreover was developped an active research for magnetic monopoles (predicted by some theories) all efforts of which seemed to be vain.

It did not seem to be a priori inconceivable to search for models with quarks fields devoid of particles, corresponding to some complementary components of leptons fields, with of course the difficulty to found in which space such a complementarity could happen.

This approach seemed to me as much interesting as I was more or less suspicious of the expressions propounded for the interaction potential between quarks, leading to infinite linearly [1]. The “required” decrease of interactions at a large distance was to my mind an unavoidable argument.

• Since then, I have found no trace of any theory of this kind, but my opinion has partly changed in other respects.

• Within the philosophy of newtonian mechanics, a material point is “isolated” (or quasi-isolated) in space if it is far enough from every other object, because it is presupposed that interactions decrease at a large distance. Newton more or less infers from this the logic of the inertia notion : without interaction, the space (which he suppose to exist even without interaction) being everywhere alike, there is no reason for any change in the motion.

From this afterwards follows the necessity to distinguish some “galilean” frameworks, within which mechanics  is expressed “more simply”. Thus when an observer, with respect to his galilean framework, turns a pail of water about its vertical axis, he sees the surface of water that incurvates itself as result of the rotation. On the contrary, if the observer lets the pail fixed and revolves round it, he sees a surface which remains horizontal.

• Within Mach's philosophy on the contrary [2, 3], an “isolated” material point is subject to interactions that are not necessarily individually negligible with the distant objects, but such as globally their effect seems independent of the position, precisely because they are distant (which makes the relative motion to be small) and that these remote objects are numerous and uniformly and isotropically distributed (which causes that, for many aspects, their actions compensate among themselves).

He deduced from that quite a different approach of the inertia phenomenon. If the observer which revolves round the pail has no influence, because he constitutes only a negligible part of the whole set of objects in interaction with the water, on the contrary the whole Universe revolving round the pail would cause an action equivalent to what is called “inertia” within a revolving (not galilean) framework of the newtonian theory.

• In other words, the newtonian theory has this superiority to put in “short-circuit” all the difficulties connected to these possible and inobservable interactions : it is “spontaneously renormalized”. But when is reached the theoretical level where it is attempted to connect the elementary microscopic processes and the macroscopic observations, the newtonian theory has the defect of its qualities : it fails to recognize what happens before the renormalization (and it describes that probably very badly).

• Thus, now it seems to me more and more likely that not only the mass of elementary constituents is necessarily zero before renormalization, but also, in some manner, the decrease of their interactions with respect to the “distance” [4]. More precisely, when an elementary constituent interacts, it does that in exactly the same way whatever the distance is, in so far as this distance is only a statistical consequence of the whose set of interactions ; le decrease of interactions with the distance than can happen only in their statistical description. Since then, not only it becomes plausible that the interaction potential of quarks increases linearly with the distance (before renormalization), but it seems that it should be the same for every “elementary” corpuscle. Thus it would be asked, on the contrary, if the leptons are or not really elementary and, if affirmative, asked if the “bare” propagator which is assigned to them does correspond to their elementary properties.

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References :

1. see as example :
“Le plasma de quarks et de gluons en laboratoire”, J.Y. Grossiord, CNRS - Images de la physique n° 2002, p. 98, december 2002 ;
“Prix Nobel - physique”, La Recherche n° 382, p. 60, january 2005.

2. see as example (without consequently accept all the argumentations defended by Mach, whose philosophy also led him to refuse the atomistic interpretation of matter) :
“La Mécanique”, E. Mach, ed. J. Gabay (french translation) ;
“Le vrai et le réel”, Pour la Science - les génies de la science, n° 27 (“Planck, la révolution quantique”), may 2006.

3. some effects connected to revolving systems have been tested within the framework of general relativity ; they dont exactly correspond to Mach's point of vue, which is to imagine the Universe revolving round a pail (that is “impossible” for an infinite Universe in a relativistic theory) ; see as example : “La relativité générale vérifiée à 99%”, L. Blanchet, La Recherche n° 381, december 2004.

4. I might be as such as tempted by the analogy used by socio-physicists, according to which the changes are caused by nearness interactions, but inertia is cause by the whole set of large distance interactions ; see as example the comment :  “Globalisation, mais pas uniformisation”, Pour la Science n° 313, p. 20, november 2003.




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