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.
Bibliographical noteThis article is not yet available on the repository.
- 1-D models
- Effective forces
- Geometric modeling