The model of the physical system with discrete interactions is based on the postulates that
(i) parameters of the physical system are defined in process of its interaction;
(ii) the process of interaction is discrete.
Consequently ordering of the events in the system is not automatically implied based on the values of time, but must be specified explicitly. This suggests the specific logic of events as well as complex character of the function, which describes stochastic behavior of the system, hence the parameters of the system are defined by Hermitian operators in the Hilbert space of functions.
The model gives an essential way to introduce the basic notions and obtain the results of the quantum theory, to derive the meaning of the main physical parameters, such as momentum or electric charge. Based on the proposed postulates, Schrodinger equation for the particle is deduced in a way similar to inferring of Smoluchowski equation in the classical statistical mechanics.
Similarly, the equations of motion of linear fields are established by considering Smoluchowski-type equations for amplitudes of harmonics.
The concept of discrete interaction gives a way to de-couple the object of experiment and a testing device (the traditional source of controversy in quantum theory), though at expense of limitation of the principle of locality.
Comment on ``Symplectic quantization, inequivalent quantum theories, and Heisenberg's principle of uncertainty''
在Phys.Rev.A70，032104（2004），M. Montesinos和G. F. Torres del Castillo考虑了二维各向同性谐振子经典相空间上的各种辛结构。利用狄拉克量子化条件，研究了这些不同的辛形式对系统量子化的影响。他们声称这些辛结构导致了相互不等价的量子理论。事实上，我们在这里证明了在两个表示空间之间存在酉映射，使得各种量化是等价的。
A. Dragan和A. Ekert [New Journal of Physics，22（3），p.033038.]最近声称，量子物理学的基本性质（例如基本不确定性和叠加原理）可以仅仅从相对论的考虑中推导出来，如果人们把超光速参考系作为物理意义的话。在这篇评论中，我们表明他们的论点是有缺陷的，因此他们的主张是没有根据的。
Comment on "Quantum theory based on real numbers cannot be experimentally falsified": On the compatibility of physical principles with information theory for fermions
Reply to the Comment on "The Axiom of Choice and the No-Signalling Principle"
Università della Svizzera italiana（瑞士意大利语大学）；University of Vienna（维也纳大学）；Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences（奥地利科学院量子光学与量子信息研究所）；Constructor University（康斯特鲁克特大学）；University of Geneva（日内瓦大学）；Mathematical Institute of the Serbian Academy of Sciences and Arts（塞尔维亚科学与艺术学院数学研究所）
Reply to Comment [arXiv:0810.3244v1] by R.S. Decca et al. on "Contribution of drifting carriers to the Casimir-Lifshitz and Casimir-Polder interactions with semiconductor materials"
我们表明，R.S. Decca等人反对我们的报纸D.A.R. Dalvit和S.K. Lamoreaux，Phys. Rev. Lett. { \bf 101}，163203（2008），是错误的，明显不符合统计物理学的基本原理。
Reply to Comment on "Discrete Time Crystals: Rigidity Criticality and Realizations"
这是对Khemani，Moessner和Sondhi（KMS）[arXiv：2109.00551]对我们手稿[Phys. Rev. Lett. 118，030401（2017）]。KMS中的主要新声明是短程模型不支持MBL DTC阶段。我们表明，即使对于他们考虑的参数值和他们研究的系统大小，索赔是一个不寻常的选择范围的关键情节的神器。对相同的数据进行标准的有限尺寸标度分析强烈表明，该系统实际上是一个多体定域（MBL）离散时间晶体（DTC）。此外，我们还在更大的尺度上进行了额外的模拟，并提供了一个分析论证，完全支持我们原始论文的结论。我们还表明，边界条件的影响，描述为必不可少的KMS，正是人们所期望的，随着系统尺寸的增加，边界效应降低。KMS中的其他点要么是文献中已有的点（对于长期模型）的重新整理，要么被适当的有限尺寸标度分析所反驳。
"New Cybernetics and the Application of its Principles in Physics" and "Comment on "Quantum Solution to the Arrow-of-Time Dilemma" of L. Maccone arXiv:0802.0438"
Comment on `On quantum effects in spontaneous emission by a relativistic electron beam in an undulator' by G. Geloni, V. Kocharyan and E. Saldin (arXiv:1202.0691)
