By I. Yu. Kobzarev, Yu. I. Manin (auth.)

ISBN-10: 940092271X

ISBN-13: 9789400922716

ISBN-10: 9401075182

ISBN-13: 9789401075183

This ebook has come into being because of medical 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.). even if, even supposing 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 contributors of the dialogues. we now have attempted to exhibit the internal stress of the subject lower than dialogue and its openness. The attitudes of the individuals mirror extra the potential reviews of the location 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 historic time and an area of 10 ±1 pages of clinical literature. consequently, an entire survey of it truly is un plausible. yet, after all, each researcher constructs his personal background of his technological know-how and sees a undeniable checklist of its details. now we have 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 point ary debris isn't an try to current the medical heritage of this realm of physics.

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This publication has come into being because of medical debates. And those debates have made up our minds its constitution. the 1st bankruptcy is within the kind of Socratic dialogues among a mathematician (MATH. ), physicists (pHYS. and EXP. ) and a thinker (PHIL. ). even though, even supposing one of many authors is a theoretical physicist and the opposite a mathematician, the reader must never imagine that their reviews were divided one of the individuals of the dialogues.

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**Example text**

MATH. Wouldn't it be better to say from the quantum theory of the Dirac field with spin 1/2 ? PHYS. Yes, but this formulation came later. Dirac proceeded more intuitively: he filled up the levels with negative energy. The modern symmetrized picture of e- and e+was a later achievement [18]. MATH. That's fine, but it seems that the picture in which discovered particles are straight away interpreted within the framework of an already established quantum field theory cannot be a correct one. Otherwise, how can one explain why Chamberlain and Segre were awarded the Nobel prize in 1959 for the discovery of the antiproton?

Of course, elementary particles are just particles. I see them very well in the laboratory apparatus. Unfortunately I don't have any more time to listen; I have to go to CERN where an experiment of mine is in progress. (Leaves). PHIL. In the final event you must admit that his experiments are the ultimate reality. But should I then believe him? PHYS. You would be mistaken. It is simply that his apparatus was so constructed that he got used to dealing with geometrical optics. DIALOGUE 5 41 MATH.

Certainly. The line of development that I have not actually traced out but, if you like, have attempted to indicate with a dotted line, has over many years frequently almost disappeared from view, while on the surface, sensational attempts have been made to play out quite different scenarios. The extension of paradigms to a new area is never a painless process; contradictions inevitably arise, and there are always crises; indeed the paradigm itself is always being reorganized and altered. When Maxwell and Boltzmann and their predecessors and successors applied mechanics to atomic phenomena, they constructed a kinetic theory of gases and thereby ran into glaring contradictions!

### Elementary Particles: Mathematics, Physics and Philosophy by I. Yu. Kobzarev, Yu. I. Manin (auth.)

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