Geometric Phase in Vacuum Instability:APPLICATIONS in Quantum Cosmology
D.P. Datta
TL;DR
This paper explores the geometric phase associated with vacuum instability in quantum cosmology using three methods, providing insights into semiclassical approximations and their relation to Einstein's equations.
Contribution
It introduces an improved semiclassical reduction method that correctly reproduces Einstein equations with backreaction, extending previous work on geometric phases in quantum cosmology.
Findings
Relation between Pancharatnam phase and vacuum instability established
Improved semiclassical reduction yields correct Einstein equations with backreaction
Three different analytical methods compared and discussed
Abstract
Three different methods viz. i) a perturbative analysis of the Schr\"odinger equation ii) abstract differential geometric method and iii) a semiclassical reduction of the Wheeler-Dewitt equation, relating Pancharatnam phase to vacuum instability are discussed. An improved semiclassical reduction is also shown to yield the correct zeroth order semicalssical Einstein equations with backreaction. This constitutes an extension of our earlier discussions on the topic
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.