Quantum gravity and the collapse of the wavefunction
Quantum gravity and the collapse of the wavefunction
复制标题
量子引力和波函数的塌缩
DOI：
10.1016/0370-2693(89)91482-2
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发表时间：
1989
影响因子：
4.4
通讯作者：
D. Nanopoulos
中科院分区：
文献类型：
--
作者：
J. Ellis;S. Mohanty;D. Nanopoulos
我们导出了一个一般形式的非幺正修正的哈密顿演化方程所造成的虫洞与微观系统的相互作用。我们发现，它抑制的元素的密度矩阵是非对角的配置空间表示，从而导致波函数崩溃。一个数量级的估计表明，对于单个基本粒子来说，坍缩时间非常长（t = 1037 s）。然而，对于大颗粒聚集体的质心运动，该效果增强。特别地，包含阿伏伽德罗粒子数的物体的波函数可以定域在玻尔半径内，单位为t 10− 7 s。
We derive a general form of non-unitary modification to the hamiltonian evolution equation caused by wormholes interacting with a microscopic system. We show that it suppresses elements of the density matrix which are off-diagonal in the configuration space representation, thus causing the wavefunction to collapse. An order-of-magnitude estimate indicates that the collapse time is very long (t≈1037s) for a single elementary particle. However, the effect is enhanced for the centre-of-mass motion of a large aggregate of particles. In particular, the wavefunction of a body containing Avogadro's number of particles may be localized within a Bohr radius in t≈10−7s.