### Abstract

Interaction of spin with electromagnetic field yields an effective metric along the world-line of spinning particle with anomalous magnetic moment. If we insist to preserve the usual special relativity definitions of time and distance, critical speed which the particle cannot overcome during its evolution in electromagnetic field differs from the speed of light. Instead, we can follow the general relativity prescription to define time and distance. With these definitions, critical speed coincides with the speed of light. But intervals of time and distance probed by the particle in the presence of electromagnetic field slightly differ from those in empty space. Effective metric arises also when spin interacts with gravitational field.

Original language | English |
---|---|

Article number | 1550101 |

Journal | Modern Physics Letters A |

Volume | 30 |

Issue number | 21 |

DOIs | |

Publication status | Published - 1 Jan 2015 |

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### Keywords

- Frenkel-BMT equations
- Papapetrou equations
- Ultra-relativistic spinning particle

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Astronomy and Astrophysics

### Cite this

*Modern Physics Letters A*,

*30*(21), [1550101]. https://doi.org/10.1142/S0217732315501011

**World-line geometry probed by fast spinning particle.** / Deriglazov, Alexei A.; Guzmán Ramírez, Walberto.

Research output: Contribution to journal › Article

*Modern Physics Letters A*, vol. 30, no. 21, 1550101. https://doi.org/10.1142/S0217732315501011

}

TY - JOUR

T1 - World-line geometry probed by fast spinning particle

AU - Deriglazov, Alexei A.

AU - Guzmán Ramírez, Walberto

PY - 2015/1/1

Y1 - 2015/1/1

N2 - Interaction of spin with electromagnetic field yields an effective metric along the world-line of spinning particle with anomalous magnetic moment. If we insist to preserve the usual special relativity definitions of time and distance, critical speed which the particle cannot overcome during its evolution in electromagnetic field differs from the speed of light. Instead, we can follow the general relativity prescription to define time and distance. With these definitions, critical speed coincides with the speed of light. But intervals of time and distance probed by the particle in the presence of electromagnetic field slightly differ from those in empty space. Effective metric arises also when spin interacts with gravitational field.

AB - Interaction of spin with electromagnetic field yields an effective metric along the world-line of spinning particle with anomalous magnetic moment. If we insist to preserve the usual special relativity definitions of time and distance, critical speed which the particle cannot overcome during its evolution in electromagnetic field differs from the speed of light. Instead, we can follow the general relativity prescription to define time and distance. With these definitions, critical speed coincides with the speed of light. But intervals of time and distance probed by the particle in the presence of electromagnetic field slightly differ from those in empty space. Effective metric arises also when spin interacts with gravitational field.

KW - Frenkel-BMT equations

KW - Papapetrou equations

KW - Ultra-relativistic spinning particle

UR - http://www.scopus.com/inward/record.url?scp=84931955421&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84931955421&partnerID=8YFLogxK

U2 - 10.1142/S0217732315501011

DO - 10.1142/S0217732315501011

M3 - Article

VL - 30

JO - Modern Physics Letters A

JF - Modern Physics Letters A

SN - 0217-7323

IS - 21

M1 - 1550101

ER -