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...
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| Дата: | 2014 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2014
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146852 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146852 |
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dspace |
| 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 |
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