AI 中文总结
研究通过数值模拟展示与规范霍普夫晶格耦合的拉盖尔 - 高斯扭曲光子包的类似系统，揭示其涌现行为，包括传播特征、相关数值及动力学等，为探索拓扑纹理提供光子平台，搭建相对论扭曲物质波与拓扑光子学的桥梁。
AI 中文摘要
最近的工作展示了在衍射相对论扭曲费米子束核心中持续存在的非衍射拓扑自旋纹理（如Skyrmion和meron类）。本文展示了一个类似光子系统的数值模拟：与具有离散通量飞轮的规范霍普夫晶格耦合的拉盖尔 - 高斯扭曲光子包。结果揭示了相同定性类别的涌现行为，包括传播时的持续核心特征、在临界λ = 2时平均存活约0.150，与神秘尺度e⁻²≈0.1353紧密聚集且残余R≈0.1375、轨道角动量模式阶梯中的黄金角相关性以及具有长寿命结构的拓扑残余。多l模拟还展示了z分辨的通量转移和扭曲动力学，类似于费米子环境中的概率流连续性。这些发现表明光子平台可作为探索结构化波中拓扑纹理的可及类似物，并在相对论扭曲物质波和拓扑光子学之间建立了具体的计算桥梁。
英文摘要
Recent work has demonstrated non-diffractive topological spin textures (Skyrmion- and meron-like) that persist in the core of diffracting relativistic twisted fermion beams [1]. Here we present numerical simulations of an analogous photonic system: Laguerre-Gaussian (LG) twisted photon packets coupled to a gauged Hopf lattice with discrete flux flywheels. Our results reveal emergent behavior of the same qualitative class, including persistent core features under propagation, mean survival approx 0.150 at critical lambdat = 2 clustering tightly with the mystery scale e^{-2} approx 0.1353 and residual R approx 0.1375, golden-angle correlations in the OAM mode ladder, and topological residuals with long-lived structure. Multi-l simulations further exhibit z-resolved flux transfer and twist dynamics that play a role analogous to probability-current continuity in the fermionic setting. These findings suggest photonic platforms as accessible analogs for exploring topological textures in structured waves, and they formalize a concrete computational bridge between relativistic twisted matter waves and topological photonics.
CommentsCode frozen at: https://github.com/kinaar8340/oam_flux/releases/tag/v0.5-preprint (commit a86062d) Includes full anc/ directory with frozen code, data, and figure scripts. Live demo: https://huggingface.co/spaces/kinaar111/oam_flux
