标题： 几何洛伦兹破缺与量子力学physics 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）的形式体系，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，量子力学除了是一种公理化理论外，还可以被视为一种演绎性的物理理论，从相对论关联的基本物理原理推导而来。这一原理是LLI和闵可夫斯基空间-时间刚性不变性的同义词。上述实验的结果显示了LLI的破坏，因此也违反了相对论关联原理。DSR的形式体系使得我们可以揭示LLI破坏在局部时空几何结构意义上的深层含义——即局部时空远非刚性和平坦，而是由物理现象的能量所变形，并且在这种意义上，它在整体物理过程的动力学中扮演着积极的角色。这种观点具有深远的物理意义，根据哥本哈根诠释，其影响扩展到量子力学的基础。它通过引入变形时空的概念，丰富了以导波为依据的现实主义解释，从而揭示了隐藏在量子对象的概率诠释和二元论性质背后的现实。 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.