量子引力不可避免的非线性证伪了量子力学的多世界解释
The inevitable nonlinearity of quantum gravity falsifies the many-worlds interpretation of quantum mechanics
摘要：
关于为什么会存在一种不涉及经典时空流形的量子力学的重新表述，有一些基本的原因。因此，我们所知的量子力学是更一般的非线性量子理论的极限情况，非线性在普朗克质量/能量尺度上变得重要。在量子测量中，这种非线性导致了波函数的动态坍缩，因此它证伪了量子力学的多世界解释。我们说明了这一结论使用的数学模型的基础上广义Doebner-Goldin方程。在这个保范的非线性薛定谔方程中，哈密顿量的非厄米部分在量子测量期间占主导地位，并导致线性叠加的崩溃。
英文摘要：
There are fundamental reasons as to why there should exist a reformulation of quantum mechanics which does not refer to a classical spacetime manifold. It follows as a consequence that quantum mechanics as we know it is a limiting case of a more general nonlinear quantum theory, with the nonlinearity becoming significant at the Planck mass/energy scale. This nonlinearity is responsible for a dynamically induced collapse of the wave-function, during a quantum measurement, and it hence falsifies the many-worlds interpretation of quantum mechanics. We illustrate this conclusion using a mathematical model based on a generalized Doebner-Goldin equation. The non-Hermitian part of the Hamiltonian in this norm-preserving, nonlinear, Schrodinger equation dominates during a quantum measurement, and leads to a breakdown of linear superposition.
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