Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase?
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase?
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| Creator |
Madarász, J.X.
Stannett, M. Székely, G. |
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| 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.
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| Date |
2019-02-11T17:14:10Z
2019-02-11T17:14:10Z 2014 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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