This document presents the scientific trajectory and final report of the four-year research project “Computational AdS/CFT Correspondence and Information Loss Problem” (2022–2025). The original objective was to investigate black-hole evaporation and the information-loss problem within matrix models and matrix quantum mechanics, with particular emphasis on BFSS/BMN systems, Monte Carlo methods, and the Page curve.
During the project, this program developed along two closely related directions. The first explored AdS2/CFT1, noncommutative geometry, multitrace matrix models, and what we now formulate as latent geometry: the emergence of spacetime geometry and gravitational variables directly from underlying quantum or matrix degrees of freedom. The second returned to BFSS/BMN matrix quantum mechanics through Monte Carlo/RHMC simulations and analytical studies of gauge singlets, Gaussian sectors, large-d limits, double-scaling limits, endpoint formulations, and emergent geometry.
The project ultimately led to a more precise route toward the original information-loss problem: identifying a metastable matrix black-hole core and an emitted sector, studying their dynamical separation, and eventually computing the entanglement entropy of the radiation and the Page curve. The 2026 BFSS/BMN works represent the direct fruition of research initiated during the final phase of the project.
No comments:
Post a Comment