论文标题
量子波力学的共形结构
Conformal Structure of Quantum Wave Mechanics
论文作者
论文摘要
这项工作用修改后的时空度量来解释Lagrangian中的量子术语，因此在波动方程和动量张量中解释了量子项。 Part I interprets the quantum terms in the Lagrangian of a Klein Gordon field as scalar curvature of conformal dilation covector nm that is proportional to hbar times the gradient of wave amplitude R. Part II replaces conformal dilation with a conformal factor rho that defines a modified spacetime metric gc = exp(rho) g, where g is the gravitational metric.量子项仅出现在公制GC及其度量连接系数中。公制GC保留经典物理和量子场本身的域中的长度和角度。 GC将量子理论的概念与时空几何形状结合在一起。共形因子可以解释为在晶格中夹杂物和空隙的分布的极限，从而导致指标凸起或合同。所有自由量子场的所有组件都满足klein gordon方程，因此该解释扩展到所有量子场。不考虑测量操作和量子场理论的要素。
This work interprets the quantum terms in a Lagrangian, and consequently of the wave equation and momentum tensor, in terms of a modified spacetime metric. Part I interprets the quantum terms in the Lagrangian of a Klein Gordon field as scalar curvature of conformal dilation covector nm that is proportional to hbar times the gradient of wave amplitude R. Part II replaces conformal dilation with a conformal factor rho that defines a modified spacetime metric gc = exp(rho) g, where g is the gravitational metric. Quantum terms appear only in metric gc and its metric connection coefficients. Metric gc preserves lengths and angles in classical physics and in the domain of the quantum field itself. gc combines concepts of quantum theory and spacetime geometry in one structure. The conformal factor can be interpreted as the limit of a distribution of inclusions and voids in a lattice that cause the metric to bulge or contract. All components of all free quantum fields satisfy the Klein Gordon equation, so this interpretation extends to all quantum fields. Measurement operations, and elements of quantum field theory are not considered.
