爱因斯坦与量子力学解释

Einstein and Guantum Mechanics Interpretation

物理学中的曲率概念来自微分几何,深入应用到理论物理各个领域,广义相对论的时空曲率是一个典范。量子力学中的曲率思想,1926年萌发于薛定谔对波动方程的早期推导,突变论创始人勒内·托姆采用微分拓扑学,在1972年对熵与量子波函数作出了曲率解释。沿着量子力学与相对论协调的新思路,赵国求等学者从1990年代开始,提出了高度符合薛定谔波动力学原始论文的量子力学曲率解释,开辟了与爱因斯坦的非欧线元解释不同的双4维复数时空解释。爱因斯坦曾经根据赫兹的最小曲率原理,把波函数表示为曲率张量,但因为多体波函数的非欧线元之间相互依赖,就放弃了这一思路。在与哥本哈根学派的长期论战中,爱因斯坦坚信正是量子力学的不完备导致波函数的概率解释成为不可缺少,而不是量子概率解释表明量子力学不完备。

Curvature concept in physics as applying differential geometry to physics, entered into analytical mechanics long ago. Along with introducing space-time curvature concept into general relativity, curvature concept became more important, since gauge field theory regards field intensity as curvature of fibre bundles. Curvature concept in quantum mechanics germinated from original derivation of Schrodinger equation. Rene Thom advanced curvature interpretations of V function and entropy according to differential geometry. Zhao Guoqiu and other scholars advanced curvature interpretation of quantum mechanics, His new interpretation made relativity theory and quantum mechanics more harmonious, and regarded V function as a curvature function. So far Zhao＇s quantum curvature interpretation is nearest to Schrodinger＇s scientific thought and Einstein＇s physics ideal. Einstein gave up his non-Euclidean element theory because a product wave function appears particle independence.