Geometrization 3.0: the black hole shadow

TL;DR

This paper discusses the third geometrization of nature, focusing on how black hole shadows relate shape to dynamics within Einstein's general relativity, highlighting the role of spacetime symmetry in black hole physics.

Contribution

It introduces a geometric perspective on black hole shadows, emphasizing the connection between shape, dynamics, and spacetime symmetry in the context of general relativity.

Findings

Black hole shadows relate shape to dynamics.

Spacetime symmetry acts as a formal cause.

Geometrization enhances understanding of black hole physics.

Abstract

There have been three geometrizations in history. The first one is historically due to the Pythagorean school and Plato, the second one comes from Galileo, Kepler, Descartes and Newton, and the third geometrization of nature begins with Einstein's general relativity. Here the term geometrization of nature means the conception according to which nature (with its different meanings) is largely described by using geometry. In this article, I focus on the third geometrization, in which the black hole shadow phenomenon relates shape to dynamics. As a consequence, spacetime symmetry could play the role of the formal cause in black hole physics.