Plato Meets de Sitter, or de Sitter's Allegory of the Cave
Willy Fischler, Sarah Racz
TL;DR
This paper explores how configurations of masses arranged as Platonic solids in de Sitter space influence the cosmological horizon's geometry, revealing a duality that encodes bulk symmetries and sizes.
Contribution
It introduces a novel duality between bulk Platonic solid configurations and horizon geometries in de Sitter space, linking bulk symmetries to boundary data.
Findings
Bulk mass configurations deform the de Sitter horizon geometry.
Horizon data encodes symmetries and sizes of bulk polyhedra.
The work establishes a duality between bulk structures and horizon geometry.
Abstract
Configurations of masses located at the vertices of Platonic solids deep within the bulk of de Sitter spacetime generate deformations of the cosmological horizon with the geometry dual to these polyhedra. The horizon data encodes both the symmetries and sizes of the solids in the bulk.
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Taxonomy
TopicsClassical Philosophy and Thought · Historical, Religious, and Philosophical Studies