Published April 15, 2026 | Version v1

Spacetime Substantivalism XII Constitutive Divergence between Null-Debt and Topologically Constrained Sectors in Effective Spacetime Field Theory (实体时空论第十二篇:有效时空场论中零债扇区与拓扑约束扇区的本构分歧)

  • 1. Independent Researcher

Description

Abstract:

We present an effective field-theoretic decomposition of spacetime excitations into two hierarchical sectors: a null-debt excitation sector (photonic degrees of freedom), and a topologically constrained sector (massive matter fields). We show that the invariant light-speed condition ($T_0=0$), the emergence of inertial mass, and the velocity bound ($v<c$), all arise from a unified phase-space saturation constraint in the spacetime constitutive lattice. Mass is interpreted as a topological obstruction to full excitation transfer, while black-hole formation corresponds to a breakdown of constitutive closure in the constrained sector. This framework remains fully consistent with relativistic quantum field theory in the infrared limit and provides a structural interpretation of Lorentz invariance as an emergent fixed point. Crucially, $T_0=0$ is derived as a dynamical saturation fixed point rather than a kinematic limit, correcting the misconception that "light experiences zero time."

Keywords:

Substantive Spacetime; Light-speed Constitution;null-debt excitation; topological constraint; phase-space saturation; emergent Lorentz invariance; black hole closure; CSSD Series

摘要:

本文提出了一种有效场论分解方法,将时空激发划分为两个层级:零债激发扇区(光子自由度)和拓扑约束扇区(有质量物质场)。我们证明了恒定光速条件($T_0=0$)、惯性质量的出现以及速度限制($v<c$),均源于时空本构点阵中统一的相空间饱和约束。质量被解释为完全激发转移的拓扑障碍,而黑洞的形成则对应于约束扇区中本构闭合的失效。该框架在红外极限下与相对论量子场论完全一致,并将洛伦兹不变性结构性地阐释为一个涌现的不动点。至关重要的是,$T_0=0$ 被推导为一个动力学饱和不动点而非运动学极限,从而纠正了“光不经历时间”的误解。

主题词:

实体时空;光速本构;零债激发;拓扑约束;相空间饱和;涌现洛伦兹不变性;黑洞闭合;CSSD系列

Files

Spacetime Substantivalism XII Constitutive Divergence between Null-Debt and Topologically Constrained Sectors in Effective Spacetime Field Theory.pdf

Additional details

Additional titles

Translated title (Mandarin Chinese)
实质时空论第十二篇:有效时空场论中零债扇区与拓扑约束扇区的本构分歧

Related works

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

References

  • [1] A. Einstein, Annalen der Physik 17, 891 (1905). [2] H. A. Lorentz, Proceedings of the Royal Netherlands Academy of Arts and Sciences 6, 809 (1904). [3] J. C. Maxwell, Philosophical Transactions of the Royal Society of London 155, 459 (1865). [4] H. Cui, Spacetime Substantivalism IX: Micro-Dynamics of a Constitutive Spacetime Lattice as an Effective Field Theory and its CMB Polarization Signatures, Zenodo (2026). [5] H. Cui, Spacetime Substantivalism X: The Constitutive Origin of the Light-Speed Postulate, Zenodo (2026). [6] H. Cui, Spacetime Substantivalism XI: Restoration of the Physical Mechanism of the Lorentz Transformation, Zenodo (2026). [7] H. Cui, Spacetime Substantivalism XVII: Minimal Effective Field Theory of Spacetime Microstructure with Quadratic Energy-Dependent Propagation, Zenodo (2026). [8] H. Cui, Spacetime Substantivalism Series Papers 0-XVI, Zenodo (2025-2026).