6.5  «Interesting attempt of Levi-Civita»
and Subquantum Field model of Electron

 

One can only see what one observes, and one observes only things which are already in the mind.

Alphonse Bertillon

In the vision of all the temporary and transient the task is to cognize the immanent, the substance and the eternal that lies in it.

Georg Hegel

In the «Introduction» to the work of 1909 «The theory of the rigid electron in the cinematics of the relativity principle» [3] Max Born right after the perfectly true conclusion concerning the conservatism of the field, which is engendered by sources moving hyperbolically:

It should be noted that an electron in hyperbolic motion does not have any self-radiation, no matter how great its acceleration is, but hauls its field along. Up to now this circumstance has been known for electrons in uniform motion only. The radiation and radiation resistance only appear at declination from hyperbolic motion. [3]

finishes the next paragraph not less meaningfully:

My theory is in the full accordance with an atomistic instinct Z of so wide a range of experimenters, that the interesting attempt of Levi-Civita Z [7] to describe the movement of an electricity as the certain liquid moving freely under the action of its own field and not bound by any kinematic conditions, is hardly worth approval. [3]

This "statement" from Born's work is taking on special significance for us in view of its absolutely unique characteristics:

•  "It" is nowadays playing a part of the monument-message skillfully made by some Genius for the generations to come… on the subject all the other reliable evidence of wich was as skillfully erased…

•  "It" is the only and what is more, skillfully copied out – known to us – mention in the physical literature about both the very fact of existence of the interesting attempt of Levi-Civita of 1908 and the essence of its fundamental phsical ideas.

•  From "it", in particular, we learn that at the heart of the attempt of Levi-Civita there is put an alternative theoretical scheme and the ideas of it are in complete agreement with the field instinct of some other part of researchers-experimenters.

•  These "lines" are the unique CLUES for the reconstruction of nearly lost information about the instincts' collisions and the drama of ideas which took place in the years 1908–1909 on the very narrow and cramped patch of the historical battle for a «true» Theory of Filed and its Sources.

The author of these lines… succeeded in reading this statement as a message only after the «independent» reconstruction of an absolutely similar attempt… It seems that this reading became possible only thanks to the coinciding of the characteristic features of these two attempts. But even in spite of that the true sense of this message was not grasped at the first reading of the text, far from it.

The first increased attention to the work [3] was a result of the arisen interest in Hyperbolic Motion.

Thus: – At a certain stage in the "statement" about the attempt of Levi-Civita plans were highlighted, playing a part of «monuments» and «messages»… their sense being pushed to the very surface of an unconscious and perceived at the level of consciousness… There came a very clear and distinct understanding that:

•  Subquantum field model of a single isolated ELECTRON of the Subquantum Field Theory – SubQFT – does actually include the spherically symmetrical stationary two-liquid hyperbolic current of Levi-Civita in its own spherically symmetrical field, coincident with the effective field of electron. In its turn, the effective field of a single electron itself presents the own field of all the elements of the current of these two unlikely charged electric liquids of Levi-Civita in all space, i.e. the sum of fields, engendered by all these elements of the current, put into the right parts of Maxwell-Lorentz equations as field sources.

•  In accordance with the Subquantum Paradigm, – behind the movement of electricity seen by us – i.e. perceived with the help of common model conceptions of classical electrodynamics – there hidden from us at the subquantum level has always existed the current of the charged liquid moving freely under the action of its own field.

•  In SubQFT the motion of each infinitesimal element of this continuously distributed charged subquantum liquid of Levi-Civita is not bound by any kinematic conditions, imposed from the outside. This motion is absolutely free of any external constraints and rides only on the continuity equation and the subquantum law of motion in its own field.

Here follows a small reference from the thesaurus of the author of these lines, which should help the reader to correct properly, if it is necessary, his ways of understanding and reading the basic words-concepts which are used here:

•  The motion of charged liquid – as used here should be understood as: – liquid charge movement, i.e. such movement of the charge continuously distributed in space, that satisfies the continuity equation. At the liquid charge movement the local law of charge conservation is met automatically (by definition).

Behind the words, indicating a certain liquid there can additionally be the notion of phase liquid. Here – it is a question of the liquid charge motion, which is being described not by a motion equation of second order, similar to Newton equation, but – by the simultaneous equations of first order and, accordingly, in the terms of the motion of the phase liquid.

•  The term the «own» field of a certain liquid should be undertood in the same way is in the phrase: – Every body of solar system moves freely under the action of the «own» field of this all system of bodies, i.e. – under the action of the sum of the gravitational fields of all its constituents. Thus, it is the question of the liquid motion of all charges in all the space, and every infinitesimal element of this charge, having common velocity vector, moves in accordance with the subquantum law of motion in its own (effective) field, obtained by the summation of the fields of necessarily all moving charges in all the space.

Such way of description of the liquid charge movement in its own field has the following character: – The interaction between any two infinitesimal elements of the moving charge (current) in principle cannot be singled out and observed! This partial interaction can't be singled out and observed simply because it cannot come to be in the nature, just as, – it cannot be carried out expressly for an observation. The thing is, at the heart of everything that exists at the subquantum level there lies namely the liquid subcharge movement that is inevitably spread in all the space and can't be, even if theoretically, reduced to the description of the interacting corpuscular point charges of finite quantum quantity!

 The translation from Russian was made by Masha and Natasha Zazerska
Last modifications: October 12 2005
RU Back to Contens

The Literature Quoted:
3. Born M. Ann. d. Phys., 1909, Bd 30, S. 1
7. Levi-Civita T. Sui campi elettromagnetici puri, bei C. Ferrari, Venezia 1908; Sulle azione meccaniche etc.; Prendiconti d. Pr. Acad. dei Lincei 18, 5a.
 
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