By I. Yu. Kobzarev, Yu. I. Manin (auth.)
This booklet has come into being because of clinical debates. And those debates have decided its constitution. the 1st bankruptcy is within the kind of Socratic dialogues among a mathematician (MATH.), physicists (pHYS. and EXP.) and a thinker (PHIL.). in spite of the fact that, even though one of many authors is a theoretical physicist and the opposite a mathematician, the reader must never imagine that their critiques were divided one of the members of the dialogues. we've got attempted to exhibit the internal rigidity of the subject less than dialogue and its openness. The attitudes of the contributors mirror extra the prospective reviews of the placement instead of the particular perspectives of the authors. what's extra, the topic "elementary debris" as handled within the three 6 discussion stretches over (2-3) 10 years of old time and an area of 10 ±1 pages of clinical literature. consequently, a whole survey of it really is un a possibility. yet, after all, each researcher constructs his personal historical past of his technology and sees a definite checklist of its details. we have now tried to drift a number of attainable photographs of this type. for that reason the truth that Math and Phys discuss the historical past of aspect ary debris isn't an try and current the medical historical past of this realm of physics.
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Additional resources for Elementary Particles: Mathematics, Physics and Philosophy
At home I was looking at the dictionaries: there also, the word "theory" has various meanings. (to Phys) When you said that the theory of supergravity does not exist, did you have in mind the example "Theory 3" in the sense of Amer. Her. Diet.  PHYS. Primarily I had in mind the project "supergravity extended to N = 8". Math would say that there is a large family of geometric theories to which the word "supergravity" is applicable but which differ from one another in the number of anticommuting coordinates in the superspace, the choice of the Lagrangian etc.
As you know, apparently there was also a programme of Heisenberg's. He considered elementary particles to be pure "platonic forms"; this is, as it were, the anti-Democritus situation. What did he actually have in mind? You know what he said: "In modern quantum theory, there can hardly be any doubt that the elementary particles are in the final reckoning mathematical forms, only enormously more complicated and abstract in nature" (than the platonic polyhedra) . PHYS. In the articles and books of Heisenberg there are a lot of statements of this sort in his last twenty years.
The difference between one and the other must somehow show up. In the language of particles, we say that particles in the intermediate states are "virtual". This is in fact an imperfect form of the expression of the fact that in reality we are dealing with non-free states. I don't think this is important right now. , there are no divergences for any process, and all questions of identity of particles and the relation between waves and particles and all other questions of the this kind can be completely solved.