Black holes, Achilles and the original tortoise coordinate
Year: 2024
Type: article
Abstract: The ‘frozen star’ picture of black holes, based on the fact that an outside observer will never see a collapsing sphere shrink sufficiently to form a black hole horizon, was a historical obstacle to the understanding of black holes, and continues to be a stumbling point for students trying to understand horizons. Promoting the discrete steps in Zeno's original story of Achilles and the tortoise to a ‘Zeno time coordinate’ provides a quantitative toy model that allows students to understand why the ‘frozen star’ phenomenon does not mean that objects cannot fall into a black hole. The toy model can be used for teaching about this particular feature of black holes in an introductory setting that does not introduce the Schwarzschild metric and its tortoise coordinates.
Source: European Journal of Physics
Author: Markus Pössel
Institution: Max Planck Institute for Astronomy
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,165
OpenAlex ID: W4403054819