标题： 几何洛伦兹破坏与量子力学物理 显示英文标题

标题： Geometrical Lorentz Violation and Quantum Mechanical Physics

摘要： 基于一些涉及局域洛伦兹不变性（LLI）破坏的实验结果以及变形狭义相对论（DSR）的形式主义，我们研究了时空的局部几何结构与量子力学基础之间的联系。我们表明，量子力学除了作为一种公理化理论外，也可以被视为一种从相对关联原理这一基本物理原理推导出的演绎物理理论。这一原理等同于LLI以及刚性和闵可夫斯基时空。上述实验的结果显示了LLI的破坏，因此也违反了相对关联原理。DSR的形式主义能够以局部时空的几何结构来突出LLI破坏的深层含义，这种时空并非刚性和平坦的，而是被发生的物理现象的能量所扭曲，在这个意义上，它在整个物理过程的动力学中起着主动作用。这种观点具有深远的物理意义，根据哥本哈根诠释，它将后果扩展到量子力学的基础。它提供了一种“真实”的解释和描述量子现象的方式，通过变形时空的概念丰富了以引导波为依据的现实解释，从而揭示了概率解释和量子物体二元性质之下的隐藏现实。 显示英文摘要

摘要： On the basis of the results of some experiments dealing with the violation of Local Lorentz Invariance (LLI) and on the formalism of the Deformed Special Relativity (DSR), we examine the connections between the local geometrical structure of space-time and the foundation of Quantum Mechanics. We show that Quantum Mechanics, beside being an axiomatic theory, can be considered also a deductive physical theory, deducted from the primary physical principle of Relativistic Correlation. This principle is synonym of LLI and of a rigid and at minkowskian space-time. The results of the experiments mentioned above show the breakdown of LLI and hence the violation of the principle of Relativistic Correlation. The formalism of DSR allows to highlight the deep meaning of LLI breakdown in terms of the geometrical structure of local space-time which, far from being rigid and at, is deformed by the energy of the physical phenomena that take place and in this sense it has an active part in the dynamics of the whole physical process. This perspective has a far reaching physical meaning that extends its consequences to the foundations of Quantum Mechanics according to the interpretation of Copenhagen. It provides a 'real' explanation and description of quantum phenomena enriching, by the concept of deformed space-time, the realistic interpretation in terms of pilot wave and hence it uncovers the reality hidden below the probabilistic interpretation and dualistic nature of quantum objects.