Similarities between classical time-like geodesics in a naked Reissner-Nordström singularity background and the behavior of electrons in quantum theory

Asghar Qadir; Azad A. Siddiqui

doi:10.1142/S0218271807009280

Similarities between classical time-like geodesics in a naked Reissner-Nordström singularity background and the behavior of electrons in quantum theory

Asghar Qadir^*, Azad A. Siddiqui

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

A study of classical time-like geodesics in a naked Reissner-Nordström singularity background is presented. Regarding the electron as naked a singularity, the size of the clothed singularity turns out to be classical electro-magnetic radius of the electron, to an observer falling freely from infinity, initially at rest. The size shrinks for an observer falling freely from infinity, with a positive initial velocity. For geodetic parameters corresponding to negative energy there are trapped geodesics. The similarity of this picture with that arising in quantum theory is discussed.

Original language	English
Pages (from-to)	25-33
Number of pages	9
Journal	International Journal of Modern Physics D
Volume	16
Issue number	1
DOIs	https://doi.org/10.1142/S0218271807009280
State	Published - Jan 2007

Bibliographical note

Funding Information:
A. Qadir is most grateful to David Finkelstein for very valuable criticism of the manuscript and Prof. Remo Ruffini for hospitality at ICRA, where he got the opportunity to meet Prof. Finkelstein. A. A. Siddiqui is grateful to the Higher Education Commission of Pakistan for a Fellowship during which this work was completed.

Keywords

Naked singularities
Time-like geodesics

ASJC Scopus subject areas

Mathematical Physics
Astronomy and Astrophysics
Space and Planetary Science

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10.1142/S0218271807009280

Cite this

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title = "Similarities between classical time-like geodesics in a naked Reissner-Nordstr{\"o}m singularity background and the behavior of electrons in quantum theory",

abstract = "A study of classical time-like geodesics in a naked Reissner-Nordstr{\"o}m singularity background is presented. Regarding the electron as naked a singularity, the size of the clothed singularity turns out to be classical electro-magnetic radius of the electron, to an observer falling freely from infinity, initially at rest. The size shrinks for an observer falling freely from infinity, with a positive initial velocity. For geodetic parameters corresponding to negative energy there are trapped geodesics. The similarity of this picture with that arising in quantum theory is discussed.",

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Similarities between classical time-like geodesics in a naked Reissner-Nordström singularity background and the behavior of electrons in quantum theory

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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