Gauge is quantum?
量规是量子的吗?
来自arXiv 2023-01-27 01:07:22
An interesting phenomenon is happening in the construction of the Madelung equations from the Schrodinger equation. It seems like the Madelung equations require a rotational invariance symmetry to properly account for quantum vortices, and that Madelung equations are not fully determining the dynamics. The relation between Schrodinger's equations and Madelung equations are often debated with the observation that no clear understanding exists for why the additional rotational discretisation condition is required. Here I explain it as an additional gauge symmetry that speaks in favour of the recent idea that quantum is gauge (Q=G). Indeed, this additional symmetry seems to emerge as a gauge symmetry condition that needs to be incorporated in the Madelung equations in order to properly describe quantum mechanics. In that sense "Madelung Equation + Gauge symmetry = Quantum mechanics". Arguments in favour of understanding the quantum phase as a gauge symmetry component of the solution of Schrodinger's equations are also introduced.
在马德隆的建设中,一个有趣的现象正在发生 薛定谔方程中的方程。看起来马德隆方程 需要旋转不变对称性才能正确解释量子 涡旋,马德隆方程并不完全决定动力学。 薛定谔方程和马德隆方程之间的关系通常是 争论的观点是,没有明确的理解为什么 需要附加旋转离散化条件。我在这里解释一下 作为一种额外的标尺对称性,它支持最近的观点 量子是规范(Q=G)。事实上,这种额外的对称性似乎是一种 需要合并到Madelung中的量规对称条件 方程式才能恰当地描述量子力学。从这个意义上说 “马德隆方程+规范对称性=量子力学”赞成的论据 将量子相理解为规范对称性分量 文中还介绍了薛定谔方程的解。
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