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arXiv physics/0702135physics.gen-ph
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量子理论中的超相对论

Super-relativity in the quantum theory

Peter Leifer

摘要:

量子理论中的相对于测量设备的相对性,即希尔伯特空间中局域动力学变量相对于运动量子参考系的变换的协方差,只有通过摒弃超选择定则才能得到。为了避免主观上的细微差别,我强调这里的“测量”概念,不过是泛函量子相空间$CP(N-1)$中的协变微分过程,具有纯粹客观的进化意义。准线性场偏微分方程在动力学时空中向局域运动量子参考系的跃迁导致了某些类粒子解。因此,函数协变量子动力学提供了统一爱因斯坦相对论和量子原理的前景,这是明显矛盾的标准方法。

英文摘要:

The relativity to the measuring device in quantum theory, i.e. the covariance of local dynamical variables relative transformations to moving quantum reference frame in Hilbert space, may be achieved only by the rejection of super-selection rule. In order to avoid the subjective nuance, I emphasis that the notion of "measurement" here, is nothing but the covariant differentiation procedure in the functional quantum phase space $CP(N-1)$, having pure objective sense of evolution. Transition to the local moving quantum reference frame leads to some particle-like solutions of quasi-linear field PDE in the dynamical space-time. Thereby, the functionally covariant quantum dynamics gives the perspective to unify the Einstein relativity and quantum principles which are obviously contradictable under the standard approaches.

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