论文标题
中介领域的普遍不确定性原理
A Generalized Uncertainty Principle from a Mediating Field
论文作者
论文摘要
普遍的不确定性原理是从包含标量场和独特约束的共同转换的动作中获得的。发现约束的Lagrange乘数可以通过移动定理遵守相对论的扩散方程,从而改变标量场的内部坐标。对于大约保守的nue电流,将耦合的波和扩散样方程合并为无限级的部分偏微分方程(PDE)。据推测,在研究无限阶PDE相应的传播器时,红外和紫外线差异自然消除了。进一步提出,相关的换向关系的高阶贡献让人联想到当前量子理论中不存在的自我交流。
A generalized uncertainty principle is obtained from a conformally transformed action containing a scalar field and a unique constraint. The constraint's Lagrange multiplier is found to obey a relativistic diffusion equation transforming the internal coordinates of the scalar field, via the shift theorem. For an approximately conserved Noether current, the coupled wave- and diffusion-like equations are merged into an infinite-order partial differential equation (PDE). It is conjectured that infrared and ultraviolet divergences are naturally removed in studying the infinite-order PDE's corresponding propagator. It is further suggested that higher-order contributions of the associated commutation relations are reminiscent of a self-interaction not present in the current quantum theory.