任意视界切片和快变场广义第二定律的证明
A proof of the generalized second law for rapidly changing fields and arbitrary horizon slices
摘要：
广义第二定律被证明为半经典量子场落在一个因果视界，最低限度地耦合到广义相对论。这个证明比以前的证明更普遍，因为它允许量子场随时间快速变化，并表明当将视界的任何切片与任何早期切片进行比较时，熵都会增加。这个证明需要存在一个限制在视界内的观测量代数，满足某些公理（决定论、超局部性、局部洛伦兹不变性和稳定性）。这些公理在各种自旋的自由场以及1+1共形场论的情况下得到了明确的验证。其他相互作用理论的公理的有效性进行了讨论。
英文摘要：
The generalized second law is proven for semiclassical quantum fields falling across a causal horizon, minimally coupled to general relativity. The proof is much more general than previous proofs in that it permits the quantum fields to be rapidly changing with time, and shows that entropy increases when comparing any slice of the horizon to any earlier slice. The proof requires the existence of an algebra of observables restricted to the horizon, satisfying certain axioms (Determinism, Ultralocality, Local Lorentz Invariance, and Stability). These axioms are explicitly verified in the case of free fields of various spins, as well as 1+1 conformal field theories. The validity of the axioms for other interacting theories is discussed.
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