因果关系意味着正式的国家崩溃
Causality implies formal state collapse
摘要:
在一个时空区域中进行实验的物理理论可以容纳一个位于另一个类空分离区域中的探测器,有三种方式,但不一定是唯一的:1)探测器在形式上坍缩了跨类空分离的物理状态,2)探测器使超光速信号成为可能,3)理论变得逻辑上不一致。如果这样一个理论承认自治演化态,那么类空坍缩必定是瞬时的。类似时间的分离不允许这样的结论。我们还证明了一些简单的结构稳定性的结果:在所有可能的理论的集合内,在弱经验拓扑下,所有具有超光速信号的理论的集合和所有具有逆行信号的理论的集合都是开的和稠密的。
英文摘要:
A physical theory of experiments carried out in a space-time region can accommodate a detector localized in another space-like separated region, in three, not necessarily exclusive, ways: 1) the detector formally collapses physical states across space-like separations, 2) the detector enables superluminal signals, and 3) the theory becomes logically inconsistent. If such a theory admits autonomous evolving states, the space-like collapse must be instantaneous. Time-like separation does not allow such conclusions. We also prove some simple results on structural stability: within the set of all possible theories, under a weak empirical topology, the set of all theories with superluminal signals and the set of all theories with retrograde signals are both open and dense.
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