Birth and death in Lineland or a purely geometric model of creation and annihilation of particles in low dimension

Thierry Platini; Robert J. Low

doi:10.1088/0143-0807/35/6/065010

Birth and death in Lineland or a purely geometric model of creation and annihilation of particles in low dimension

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Abstract

We consider a simple model of a one-dimensional (1D) universe embedded in the Euclidean plane. In this model, a circle travelling at constant speed intersects the line in a pair of points which first separate and then rejoin. We interpret this as the creation and annihilation of a pair of particles, and describe the trajectories as seen by inhabitants of the 1D universe. In our final scenario, considering Lineland as curved, we show how sufficiently accurate measurements will push inhabitants of Lineland to reject their theory for a purely geometric interpretation.

Original language	English
Article number	065010
Journal	European Journal of Physics
Volume	35
Issue number	6
DOIs	https://doi.org/10.1088/0143-0807/35/6/065010
Publication status	Published - 9 Sep 2014

Bibliographical note

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Keywords

1-D models
annihilation
Creation
Effective forces
Geometric modeling

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