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[1] arXiv:2508.00030 (替换) [中文pdf, pdf, html, 其他]

标题： 弱相互作用和味混合的双可构造模式：对电弱耦合常数的影响 显示英文标题

标题： Bi-Constructible pattern of weak and flavour mixing: implications for electroweak coupling constants

Jacek Ciborowski

主题： 一般物理 (physics.gen-ph)

我们提供了半经验证据，表明在最根本的层面上，弱相互作用和味混合可以用正则多边形的欧几里得几何来描述，这些多边形可以用圆规和直尺构造，特别是五边形和十七边形，与费马素数相关——这种模式被称为双可构造。我们的方法准确地再现了夸克和轻子混合角，并表明温伯格角也自然地符合这一几何框架。简明弱-夸克-轻子互补关系被推导出来。这些发现表明了弱相互作用和味混合的半经验统一模式。标准模型的规范耦合g和g'可以用黄金比例给出优雅的表达式，从而完全以这些术语预测精细结构常数。 显示英文摘要

We present semi-empirical evidence suggesting that weak and flavour mixing, at the most fundamental level, can be described in terms of the Euclidean geometry of regular polygons constructible with compass and straightedge, specifically, the pentagon and the heptadecagon, associated with Fermat primes -- a pattern referred to as Bi-Constructible. Our approach accurately reproduces quark and lepton mixing angles and offers indications that the Weinberg angle also fits naturally within this geometric framework. Concise Weak--Quark--Lepton Complementarity relations are derived. These findings suggest a semi-empirical unification pattern of weak and flavour mixing. The Standard Model gauge couplings g and g' admit elegant expressions involving the golden ratio, yielding a neat prediction for the fine-structure constant entirely in these terms.

[2] arXiv:2508.00035 (替换) [中文pdf, pdf, html, 其他]

标题： PT对称虫洞中的闭合类时曲线 显示英文标题

标题： Closed timelike curves in PT-symmetric wormholes

Hicham Zejli

评论： 30页，2张图，发表于IJMPD（《现代物理学期刊D》）

期刊参考： 国际现代物理杂志 D 34, 2550052 (2025) 国际现代物理杂志 D 34, 2550052 (2025) 国际现代物理杂志 D 34, 2550052 (2025)

主题： 一般物理 (physics.gen-ph)

我们研究了一个修改的爱因斯坦-罗森虫洞模型，该模型通过由两个正则度规g(+)和g(-)定义的双度规几何实现单向可穿越性，并通过结合时间反演(t -> -t)和空间反演(x -> -x)的PT对称性来表征。 在此框架中，通过PT对称性在虫洞喉部(r = alpha)识别出两个不同的时空区域，形成一个单一的时空片。 该模型采用埃丁顿-芬克尔斯坦坐标来消除喉部的坐标奇点，使得通过在连接处存在奇异物质的类光膜实现可穿越性，以满足爱因斯坦场方程，类似于其他可穿越虫洞模型。 我们通过耦合两个这样的虫洞来生成闭合类时曲线(CTCs)，这由两个度规定义的相反因果方向所实现，同时遵守诺维科夫自洽性原则。 为穿过虫洞的标量场开发了一个有效理论，得出具有实数能量谱的PT对称的克莱因-戈登方程，该能量谱由伪么正性保证，与量子力学动力学一致。 这些结果为探索PT对称性对因果性和可穿越几何中标量场量子化的影响开辟了新的途径。 显示英文摘要

We investigate a modified Einstein-Rosen wormhole model, made unidirectionally traversable through a bimetric geometry defined by two regular metrics, g(+) and g(-), and characterized by PT symmetry combining time reversal (t -> -t) and spatial inversion (x -> -x). In this framework, two distinct spacetime regions are identified at the wormhole throat (r = alpha) via PT symmetry, forming a single spacetime sheet. This model employs Eddington-Finkelstein coordinates to eliminate coordinate singularities at the throat, enabling traversability with a lightlike membrane of exotic matter at the junction to satisfy the Einstein field equations, similar to other traversable wormhole models. We extend this model by coupling two such wormholes to generate closed timelike curves (CTCs), made possible by the opposing causal orientations defined by the two metrics, while adhering to Novikov's self-consistency principle. An effective theory is developed for a scalar field crossing the wormhole, yielding PT-symmetric Klein-Gordon equations with a real energy spectrum ensured by pseudo-unitarity, consistent with quantum mechanical dynamics. These results open new avenues for exploring the effects of PT symmetry on causality and the quantization of scalar fields in traversable geometries.

[3] arXiv:2508.00044 (替换) [中文pdf, pdf, html, 其他]

标题： 量子力学是否是经典力学的一个真子集？ 显示英文标题

标题： Is Quantum Mechanics a proper subset of Classical Mechanics?

Khaled Mnaymneh

评论： 19页，5图

主题： 一般物理 (physics.gen-ph)

量子力学被广泛认为是一个完整的理论，但我们认为它是更深层次、计算上无法访问的经典变分结构的可处理投影。 通过分析哈密顿型1主函数的耦合偏微分方程，我们表明基于经典作用的动力学通常是不可判定的，这与量子系统中的谱隙不可判定性相平行。 在接近柯尔莫哥洛夫-阿诺德-莫泽系统中，稳定性取决于自身不可判定的丢番图条件，这通过算术逻辑限制了预测性，而不是随机性。 自旋3/2系统和更大的系统、量子疤痕以及莱格特不等式违背支持这一观点，可以通过时间对称的经典作用自然解释。 这个框架通过从本质上不可分离的经典变分几何中导出单位性和纠缠作为涌现特征，为长期存在的单位性与纠缠之间的二元对立提供了一个有根据的解决方法。 坍缩和退相干源于表征限制，而非本体论上的不确定性。 我们提出了一种具体的实验测试，使用横向双量子点来检测在经典混沌阈值处标准量子相干性的预测偏差。 这种重新表述表明，经典与量子的边界由可计算性决定，而不是由普朗克常数决定。 讨论了对量子计算和量子加密的影响。 显示英文摘要

Quantum mechanics is widely regarded as a complete theory, yet we argue it is a tractable projection of a deeper, computationally-inaccessible classical variational structure. By analyzing the coupled partial differential equations of the Hamilton type 1 principal function, we show that classical action-based dynamics are generally undecidable, paralleling spectral gap undecidability in quantum systems. In near Kolmogorov-Arnold-Moser systems, stability hinges on Diophantine conditions that are themselves undecidable, limiting predictability via arithmetic logic rather than randomness. Phenomena like spin 3/2 systems and larger, quantum scars and Leggett inequality violations support this view, naturally explained by time symmetric classical action. This framework offers a principled resolution to the long standing dichotomy between unitarity and entanglement by deriving both as emergent features of a tractable rendering from a fundamentally non-separable classical variational geometry. Collapse and decoherence arise from representational limits, not ontological indeterminism. We propose an explicit experimental test using lateral double quantum dots to detect predicted deviations from standard quantum coherence at the classical chaos threshold. This reframing suggests the classical quantum boundary is set by computability and not by the Planck constant. Implications for quantum computing and quantum encryption are discussed.