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How to recover causality for tachyons even in macrophysics

Как восстановить причинность для тахионов даже в макрофиэике

  • Published:
Il Nuovo Cimento A (1965-1970)

An Erratum to this article was published on 01 July 1978

Summary

The postulate that negative-energy particles do not exist (travelling forward in time) leads automatically to the « Reinterpretation Principle » by Stückelberg and by Feynman. It has been already shown that such a « principle », assumed as theThird postulate of special relativity, ensures the validity of the law of (retarded) causalityboth in standard relativityand in (extended) relativity with tachyons and with Superluminal inertial frames. OurThird postulate, moreover, allows predicting antiparticle existence in apurely relativistic context. In this paper we show that theThird postulate is enough to implement the law of causality even in macrophysics, when usual macro-objects interact with microtachyons and macrotachyons. To that aim, some tachyon kinematics is further developed, which can be useful even in understanding elementaryparticle interactions (andmay be hadron structure). Many other related problems are discussed.

Riassunto

Il postulato che non esistano particelle ad energia negativa (che viaggino avanti nel tempo) conduce automaticamente al «Principio di Reinterpretazione» di Stückelberg e di Feynman. Si è già mostrato che tale «principio», una volta assunto cometerzo postulato della relatività ristretta, assicura la validità della legge dicausalità (ritardata) sia nella usuale relatività, sia nella «relativitàestesa», con tachioni e con sistemi inerziali superluminali. Inoltre il nostroterzo postulato permette di prevedere l’esistenza delle antiparticelle in un contestopuramente relativistico. In questo lavoro si mostra che ilterzo postulato è sufficiente a salvaguardare la validità della legge di causalità (ritardata) anche in macrofisica, quando gli usuali macrooggetti interagiscono con microtachioni o con macrotachioni. A questo scopo si sviluppa ulteriormente la cinematica dei tachioni, la quale potrebbe essere utile anche per la comprensione delle interazioni tra particelle elementari (eforse della struttura degli adroni). Si discutono infine anche molti altri problemi connessi.

Реэюме

Постулат, что частицы с отрицательной знергией не сушествуют (которые движутся в прямом направлении по времени) автоматически приводит к « Принципу Реинтерпретации », предложенному Стюкелбергом и Фейнманом. Также было покаэано, что такой « Принцип », принимаемый какТретий Постулат спре-циальной теории относительности, обеспечивает справедливость эакона (эапаэды-ваюшей) причинности, как в обычной теории относительности, так и в (протяжен-ной) теории относительности с тахионами и с суперлюминальными инерциальными системами. НащТретий Постулат, кроме того, поэволяет предскаэать сушество-вание античастиц вчисто релятивистском контексте. В зтой статье мы покаэываем, чтоТретий Постулат является достаточным, чтобы обеспечить выполнение эакона причинности даже в макрофиэике, когда обычные макро-общекты вэаимодействуют с микро-тахионами и макро-тахионами. С зтой целью раэвивается кинематика тахионов, которая может быть полеэной для понимания вэаимодействий злемен-тарных частиц (и, может быть, структуры адронов). Обсуждается больщое число родственных проблем.

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Author notes

  1. E. Recami

    Present address: J. Stefan Institute, University of Ljubljana, Yugoslavia

  2. M. Pavšič

    Present address: I.N.F.N., Sezione di Catania, Catania

Authors and Affiliations

  1. Istituto di Fisica Teorica, Università di Catania, Catania, Italia

    M. Pavšič & E. Recami

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Additional information

supported in part by the « B. Kirdrič fund ».

Work partially supported by the Italian M.P.I. (ex-art. 286) and by C.N.R. (under contract 75/00442.02).

An erratum to this article is available at http://dx.doi.org/10.1007/BF02898869.

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Pavšič, M., Recami, E. How to recover causality for tachyons even in macrophysics. Nuov Cim A 36, 171–186 (1976). https://doi.org/10.1007/BF02724572

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