超相对论是量子理论与相对论的统一
Superrelativity as a unification of quantum theory and relativity
摘要：
为了避免相对性原理与量子理论基础之间的矛盾，提出了“超相对性”原理。一个新导出的非线性Klein-Gordon方程的解可以看作是量子理论的原始非定域元。它表明，在CP（N-1）模型的框架内，补充元素是非本地的时空，但本地的投影希尔伯特空间允许我们避免至少一个量子理论的主要困难-的必要性，涉及“现实”的量子态与测量过程。在超相对论的框架下，射影希尔伯特空间的几何（Fubini-Study度规和联系）与非线性波动方程一起是完全封闭的量子方案。
英文摘要：
Principle of ``Superrelativity'' has been proposed in order to avoid the contradiction between principle of relativity and foundations of quantum theory. Solutions of a newly derived non-linear Klein-Gordon equation presumably may be treated as primordial nonlocal elements of quantum theory. It is shown that in the framework of CP(N-1) model supplementary elements which are non-local in spacetime but local in the projective Hilbert space permit us to avoid at least one of the main difficulties of quantum theory-the necessity to relate the ``reality'' of a quantum state with a measuring process. In the framework of superrelativity the geometry of the projective Hilbert space (Fubini-Study metric and connection) together with the non-linear wave equation are full and closed quantum scheme.
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