Published June 5, 2026 | Version v1

Spacetime Substantivalism 44 As Validated by Gravitational Wave Confirmation — On the Ill-Posed Nature of Phase Singularity Trajectory Reconstruction and Apparent Superluminal Motion in Structured Optical Fields

  • 1. Independent Researcher

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Title: Spacetime Substantivalism 44: As Validated by Gravitational Wave Confirmation — On the ill-Posed Nature of Phase Singularity Trajectory Reconstruction and Apparent Superluminal Motion in Structured Optical Fields

Abstract:

We analyze reported instances of apparent superluminal motion of phase singularities in structured optical fields. We show that such claims arise from a reconstruction step that maps a time-dependent zero set of a complex field onto particle-like temporal sequences. Because phase singularities form a set-valued object whose topology may change over time, the identity mapping between temporal slices is not uniquely defined in general. We demonstrate that standard nearest-neighbor tracking introduces an implicit continuity assumption not contained in Maxwell's equations. We further show that apparent superluminal segments coincide with topological transition events of the zero set, while energy transport velocities remain bounded by the speed of light. Gravitational wave observations, particularly GW170817, have confirmed that spacetime is not an abstract geometric container but a substantive electromagnetic medium governed by the First Protocol ($c = 1/\sqrt{\epsilon_0 \mu_0}$). The First Protocol incorporates a built-in "fuse" mechanism that prevents any physical process from exceeding the speed of light by enforcing a nonlinear constitutive response as $v \to c$. We conclude that the reported superluminal motion reflects reconstruction artifacts rather than physical transport phenomena; therefore, superluminal propagation of energy, information, or causal influence is physically impossible in substantive spacetime.

Keywords: Structured Optical Fields, Phase Singularities, Superluminal Motion, Spacetime Substantivalism, First Protocol, Causal Propagation, Gravitational Waves; Hugang Cui

标题: 时空实体论 44:基于引力波证实的视域 —— 论结构化光场中相位奇点序列重构的病态本质与视超光速运动

摘要: 本文分析了结构化光场中相位奇点视超光速运动的现象 。我们证明此类结论源于一种将复场随时间演化的零点集合映射为粒子状时间序列的重构步骤 。由于相位奇点构成随时间变化的集合值对象,其拓扑结构可能发生改变,因此时间切片间的同一性映射在一般情况下并未被唯一定义 。我们论证了标准的最近邻追踪引入了麦克斯韦方程组所不包含的隐性连续性假设 。研究表明,所谓的视超光速片段与零点集合的拓扑跃迁事件重合,而能量输运速度始终受光速限制 。引力波观测(特别是 GW170817)证实,时空并非抽象的几何容器,而是遵循“第一协议”($c = 1/\sqrt{\epsilon_0 \mu_0}$)的实质性电磁介质 ,该协议包含一种非线性“保险丝”机制,可主动阻止物理过程超越光速 。我们得出结论:报道的超光速运动反映的是重构伪影而非物理输运,在实质性时空框架下维护了相对论因果律

主题词: 结构化光场,相位奇点,视超光速,时空实体论,第一协议,因果传播,引力波

 

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Spacetime Substantivalism 44 As Validated by Gravitational Wave Confirmation — On the ill-Posed Nature of Phase Singularity Trajectory Reconstruction and Apparent Superluminal Motion in Structured Optical Fields.pdf

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Translated title (Mandarin Chinese)
时空实体论 44:基于引力波证实的视域 —— 论结构化光场中相位奇点序列重构的病态本质与视超光速运动

Related works

Is continued by
Preprint: 10.5281/zenodo.18636484 (DOI)
Preprint: 10.5281/zenodo.10429715 (DOI)
Preprint: 10.5281/zenodo.19595947 (DOI)

References

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