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(十二月)許祖斌教授討論宇宙時間與宇宙初始狀態

Exact solution of the Hamiltonian constraint of Einstein’s theory reveals the synergy between gravitation and the intrinsic cosmic clock. The natural addition of a Cotton–York term to the physical Hamiltonian changes the initial data problem radically. It lends weight to the origin of the universe as an exact Chern–Simons Hartle–Hawking state which features Euclidean–Lorentzian instanton tunneling. At the level of expectation values, this quantum state yields a low-entropy hot smooth beginning in accord with Penrose’s Weyl Curvature Hypothesis. The state also manifests transverse traceless quantum metric fluctuations with scale-invariant two-point correlations as one of its defining characteristics.
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詳見 Universe (2023)