Time evolution in a geometric model of a particle

M. F. Atiyah; G. Franchetti; B. J. Schroers

doi:10.1007/JHEP02(2015)062

Time evolution in a geometric model of a particle

M. F. Atiyah, G. Franchetti, B. J. Schroers^*

^*Corresponding author for this work

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10 Citations (Scopus)

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Abstract

We analyse the properties of a (4+1)-dimensional Ricci-flat spacetime which may be viewed as an evolving Taub-NUT geometry, and give exact solutions of the Maxwell and gauged Dirac equation on this background. We interpret these solutions in terms of a geometric model of the electron and its spin, and discuss links between the resulting picture and Dirac’s Large Number Hypothesis.

Original language	English
Pages (from-to)	1-16
Journal	Journal of High Energy Physics
Volume	2015
Issue number	62
Early online date	15 Feb 2015
DOIs	https://doi.org/10.1007/JHEP02(2015)062
Publication status	Published - Feb 2015

Keywords

Differential and Algebraic Geometry
Duality in Gauge Field Theories
Solitons Monopoles and Instantons

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title = "Time evolution in a geometric model of a particle",

abstract = "We analyse the properties of a (4+1)-dimensional Ricci-flat spacetime which may be viewed as an evolving Taub-NUT geometry, and give exact solutions of the Maxwell and gauged Dirac equation on this background. We interpret these solutions in terms of a geometric model of the electron and its spin, and discuss links between the resulting picture and Dirac{\textquoteright}s Large Number Hypothesis.",

keywords = "Differential and Algebraic Geometry, Duality in Gauge Field Theories, Solitons Monopoles and Instantons",

author = "Atiyah, {M. F.} and G. Franchetti and Schroers, {B. J.}",

note = "{"}We thank Jos{\' }e Figueroa O{\textquoteright}Farrill for numerous discussions and acknowledge support from the EPSRC through a research grant.{"}",

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AU - Atiyah, M. F.

AU - Franchetti, G.

AU - Schroers, B. J.

N1 - "We thank Jos ́e Figueroa O’Farrill for numerous discussions and acknowledge support from the EPSRC through a research grant."

PY - 2015/2

Y1 - 2015/2

N2 - We analyse the properties of a (4+1)-dimensional Ricci-flat spacetime which may be viewed as an evolving Taub-NUT geometry, and give exact solutions of the Maxwell and gauged Dirac equation on this background. We interpret these solutions in terms of a geometric model of the electron and its spin, and discuss links between the resulting picture and Dirac’s Large Number Hypothesis.

AB - We analyse the properties of a (4+1)-dimensional Ricci-flat spacetime which may be viewed as an evolving Taub-NUT geometry, and give exact solutions of the Maxwell and gauged Dirac equation on this background. We interpret these solutions in terms of a geometric model of the electron and its spin, and discuss links between the resulting picture and Dirac’s Large Number Hypothesis.

KW - Differential and Algebraic Geometry

KW - Duality in Gauge Field Theories

KW - Solitons Monopoles and Instantons

U2 - 10.1007/JHEP02(2015)062

DO - 10.1007/JHEP02(2015)062

M3 - Article

AN - SCOPUS:84922807253

SN - 1126-6708

VL - 2015

SP - 1

EP - 16

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 62

ER -

Time evolution in a geometric model of a particle

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