Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase?

Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase?

It has recently been shown within a formal axiomatic framework using a definition of four-momentum based on the Stückelberg-Feynman-Sudarshan-Recami ''switching principle'' that Einstein's relativistic dynamics is logically consistent with the existence of interacting faster...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Datum:2014
Hauptverfasser: Madarász, J.X., Stannett, M., Székely, G.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2014
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/146852
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase? / J.X. Madarász, M. Stannett, G. Székely // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 35 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-146852
record_format dspace
fulltext
spelling irk-123456789-1468522019-02-12T01:24:06Z Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase? Madarász, J.X. Stannett, M. Székely, G. It has recently been shown within a formal axiomatic framework using a definition of four-momentum based on the Stückelberg-Feynman-Sudarshan-Recami ''switching principle'' that Einstein's relativistic dynamics is logically consistent with the existence of interacting faster-than-light inertial particles. Our results here show, using only basic natural assumptions on dynamics, that this definition is the only possible way to get a consistent theory of such particles moving within the geometry of Minkowskian spacetime. We present a strictly formal proof from a streamlined axiom system that given any slow or fast inertial particle, all inertial observers agree on the value of m⋅√|1−v²|, where m is the particle's relativistic mass and v its speed. This confirms formally the widely held belief that the relativistic mass and momentum of a positive-mass faster-than-light particle must decrease as its speed increases. 2014 Article Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase? / J.X. Madarász, M. Stannett, G. Székely // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 35 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 70A05; 03B30; 83A05 DOI:10.3842/SIGMA.2014.005 http://dspace.nbuv.gov.ua/handle/123456789/146852 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description It has recently been shown within a formal axiomatic framework using a definition of four-momentum based on the Stückelberg-Feynman-Sudarshan-Recami ''switching principle'' that Einstein's relativistic dynamics is logically consistent with the existence of interacting faster-than-light inertial particles. Our results here show, using only basic natural assumptions on dynamics, that this definition is the only possible way to get a consistent theory of such particles moving within the geometry of Minkowskian spacetime. We present a strictly formal proof from a streamlined axiom system that given any slow or fast inertial particle, all inertial observers agree on the value of m⋅√|1−v²|, where m is the particle's relativistic mass and v its speed. This confirms formally the widely held belief that the relativistic mass and momentum of a positive-mass faster-than-light particle must decrease as its speed increases.
format Article
author Madarász, J.X.
Stannett, M.
Székely, G.
spellingShingle Madarász, J.X.
Stannett, M.
Székely, G.
Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase?
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Madarász, J.X.
Stannett, M.
Székely, G.
author_sort Madarász, J.X.
title Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase?
title_short Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase?
title_full Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase?
title_fullStr Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase?
title_full_unstemmed Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase?
title_sort why do the relativistic masses and momenta of faster-than-light particles decrease as their speeds increase?
publisher Інститут математики НАН України
publishDate 2014
url http://dspace.nbuv.gov.ua/handle/123456789/146852
citation_txt Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase? / J.X. Madarász, M. Stannett, G. Székely // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 35 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT madaraszjx whydotherelativisticmassesandmomentaoffasterthanlightparticlesdecreaseastheirspeedsincrease
AT stannettm whydotherelativisticmassesandmomentaoffasterthanlightparticlesdecreaseastheirspeedsincrease
AT szekelyg whydotherelativisticmassesandmomentaoffasterthanlightparticlesdecreaseastheirspeedsincrease
first_indexed 2025-07-11T00:46:41Z
last_indexed 2025-07-11T00:46:41Z
_version_ 1837309426575343616

Ähnliche Einträge