2025.04.01
Exploring CPT-Invariant Path Integrals in 3D Quantum Gravity
SOKENDAI研究派遣プログラム 採択年度: 2024
CHOU, Chien-Yu
This image represents a possible explanation for the Big Bang based on CPT symmetry. The two mirrored shapes suggest that our universe has a symmetric counterpart extending backward in time. Instead of a singular beginning, the Big Bang could be a transition between two connected universes, following the fundamental symmetries of physics.
My research explores the CPT-invariant formulation of path integrals in 3D quantum gravity, particularly in de Sitter (dS) space, which plays a crucial role in understanding the nature of spacetime at the quantum level. Unlike Anti-de Sitter (AdS) space, which has a well-defined holographic dual, de Sitter space presents unique challenges in defining quantum states. To address this, I investigate how CPT symmetry constrains boundary conditions and saddle points in the gravitational path integral. This study builds on the Chern-Simons formulation of 3D gravity, which provides a natural framework for describing quantum gravity in a topological setting.
During my research stay at the University of Edinburgh, I worked closely with Prof. Turok and colleagues to explore the role of complex saddle points in the Einstein-Hilbert action. Additionally, I analyzed the CPT invariance of the Chern-Simons action and its implications for de Sitter quantum gravity. While this research is ongoing, we have established a long-term collaboration to further develop a CPT-invariant path integral formulation. Our future work will explore the role of modular structures in the de Sitter partition function, with potential applications in quantum cosmology, topological quantum field theory, and nonperturbative quantum gravity.
派遣先滞在期間
Date of Departure: 2024/11/30
Date of Return: 2025/2/28
国、都市等
UK
機関名、受入先、会議名等
University of Edinburgh, Hosted by Prof. Neil Turok
派遣中に学んだことや得られたもの
My research stay at the University of Edinburgh provided invaluable opportunities to collaborate with Prof. Turok and his research team, deepening my understanding of CPT-invariant quantum gravity. Through discussions and analysis, I explored the role of complex saddle points and Chern-Simons theory in de Sitter space. This experience helped establish a long-term collaboration to further investigate modular structures in the gravitational path integral and nonperturbative quantum gravity.
高エネルギー加速器科学研究科 素粒子原子核専攻 CHOU, Chien-Yu