TL;DR
This paper numerically evaluates functional determinants for a scalar field with negative mass squared on orbifolded geometries, providing insights into Hartle-Hawking probabilities within the dS/CFT framework.
Contribution
It introduces numerical methods for computing functional determinants on complex orbifolded spaces relevant to quantum gravity.
Findings
Graphs of log determinants and probabilities are presented.
Results support the dS/CFT correspondence in specific geometries.
New techniques for determinant evaluation on orbifolds are demonstrated.
Abstract
Functional determinants for a scalar field with negative mass squared are numerically evaluated on an orbifolded three-sphere, in particular on a lune and on a regular 4--polytope fundamental domain. Graphs are provided of the logdets and some Hartle-Hawking probabilities, on the basis of the dS/CFT correspondence.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHistory and Developments in Astronomy · Solar and Space Plasma Dynamics · Stellar, planetary, and galactic studies