对谢尔顿·戈尔茨坦对一系列协变相对论玻姆模型的异议的回应
A Reponse to the Sheldon Goldstein Objection to a Series of Covariant Relativistic Bohmian Models
AI总结：
针对谢尔顿·戈尔茨坦对协变相对论玻姆模型无法将构型时空密度解释为概率密度的异议，本文采用“排列函数”来解决该问题，以推动玻姆力学提供精确客观的量子力学表述。
AI中文摘要：
在这项工作中，我们试图回答美国物理学家谢尔顿·戈尔茨坦（2010年私人通信）对协变玻姆模型（如尼科利奇和埃尔南德斯 - 萨帕塔类型）提出的一个非常重要的异议，即无法将这些模型的作者所发现的构型时空密度解释为概率密度。问题在于很难证明N时空构型密度有有限积分，而这对于将密度归一化以产生概率密度函数至关重要。尽管证明步骤看似完整，但在继续完全放心地使用这类模型之前，这个异议必须得到解决。由于玻姆力学旨在提供一个精确且客观的量子力学表述，解决此问题至关重要。本文通过采用一种我们称为“排列函数”的特定类型函数来着手解决这一问题。
英文摘要：
In this work we try to answer a very important objection to the Covariant Bohmian Models type Nikolić and Hernández-Zapata that was formulated by the american physicist Sheldon Goldstein (private communication, 2010) about the imposibility to interpret the configuration space-time density found by the authors of these models like a probability density. The problem is that it is very dificult to show that the N space-time configuration density has a finite integral. That is very important in order to normalize the density to produce a PDF (probability density function). All the steps in the demonstrations seemed complete but this objection must be resolved imperatively before to continue using this kind of models with full confidence. Since the aim of Bohmian Mechanics (also known as the De Broglie-Bohm Mechanics) is to provide a precise and objective formulation of Quantum Mechanics free from vagueness and obscurity (Bell point of view at least), addressing this issue is crucial. In this article, we set out to tackle this by employing a specific type of function that we call an "Arrangement Function".
