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 $\hslash$ times the gradient of wave amplitude R. Part II replaces conformal dilation with a conformal factor $\rho$ that defines a modified spacetime metric $g^{\prime }$= exp$(\rho )g$, where g is the gravitational metric. Quantum terms appear only in metric $g^{\prime }$ and its metric connection coefficients. Metric $g^{\prime }$ preserves lengths and angles in classical physics and in the domain of the quantum field itself. $g^{\prime }$ 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.

这项工作根据修改的时空度量来解释拉格朗日中的量子项，从而解释波动方程和动量张量。第 I 部分将 Klein-Gordon 场的拉格朗日中的量子项解释为与$\hslash$乘以波幅R的梯度。第二部分用保形因子替换保形膨胀$\rho$定义了修改的时空度量$G^{\text{'}}$= 经验$(\rho )G$，其中g是引力度量。量子项仅出现在公制中$G^{\text{'}}$及其度量连接系数。公制$G^{\text{'}}$保留经典物理学和量子场本身领域的长度和角度。$G^{\text{'}}$在一个结构中结合了量子理论和时空几何的概念。保形因子可以解释为导致度量膨胀或收缩的晶格中夹杂物和空隙分布的限制。所有自由量子场的所有分量都满足克莱因-戈登方程，因此这种解释扩展到所有量子场。不考虑测量操作和量子场论的元素。