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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2014 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2014
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| Онлайн доступ: | https://nasplib.isofts.kiev.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| _version_ | 1862702154087661568 |
|---|---|
| author | Madarász, J.X. Stannett, M. Székely, G. |
| author_facet | Madarász, J.X. Stannett, M. Székely, G. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-12-07T16:44:30Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146852 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:44:30Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Madarász, J.X. Stannett, M. Székely, G. 2019-02-11T17:14:10Z 2019-02-11T17:14:10Z 2014 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 https://nasplib.isofts.kiev.ua/handle/123456789/146852 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. This research is supported under the Royal Society International Exchanges Scheme (ref.
 IE110369) and by the Hungarian Scientific Research Fund for basic research grants No. T81188
 and No. PD84093, as well as by a Bolyai grant for J.X. Madar´asz. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase? Article published earlier |
| spellingShingle | Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase? Madarász, J.X. Stannett, M. Székely, G. |
| title | 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_short | 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? |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146852 |
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