Spacetime Substantivalism XVI Observational Constraints on Effective Spacetime Propagation from Gravitational Waves and Cosmology — A Unified EFT Framework and Numerical Implementation(实体时空论第十六篇:基于引力波与宇宙学的有效时空传播观测约束——统一有效场论框架与数值实现研究)

Abstract

 This is the 16th paper in the "Spacetime Substantivalism (Constitutive Spacetime Dynamics, CSSD)" series (Papers 0-16). The core of this research is founded on the empirical verdict of gravitational waves, which reveals that spacetime is not a vacuum void but a physical entity with extreme rigidity and internal homogeneity. By treating gravitational wave data as a direct probe of spacetime's constitutive properties, we have derived the "Substantive Lattice" model. This framework successfully provides a physical restoration of the light-speed postulate and the Lorentz transformation, reinterpreting them as dynamic responses to "Electromagnetic Load" within the lattice.

In this work, we present a unified observational constraints analysis of the CSSD effective spacetime propagation framework. We parameterize deviations from general relativity (GR) through two leading-order effective coefficients: a cosmological propagation parameter (alpha_0) and a gravitational-wave dispersion parameter (beta). Using the GWTC-3 catalog and standard cosmological distance-redshift data, we perform a joint hierarchical Bayesian inference. Our results confirm that current datasets are fully compatible with the GR baseline, yielding a 95% bound of |beta| < 9e-23. This work establishes CSSD as a rigorous, falsifiable extension of GR, demonstrating that while spacetime exhibits constitutive cumulative effects on cosmological scales, it reproduces GR as an emergent infrared effective limit within current observational sensitivity.

本文是“实体时空论(实体时空动力学,CSSD)”系列研究的第16篇。本项研究的核心逻辑出发点是由引力波探测实验所证实的物理事实:引力波的传播特性揭示了时空并非抽象的几何背景,而是一个具有极高刚性、内部均匀性的物理实体。通过将引力波数据视为探测时空本构属性的直接探针,我们推导出了“实体点阵”模型。该框架成功实现了对光速不变假设和洛伦茨变换的物理还原,将其重新阐释为物质在点阵介质中运动时的“电磁负载”响应。

在本篇研究中,我们提出了 CSSD 有效时空传播框架的统一观测约束分析。我们通过两个领先阶有效系数对偏离广义相对论(GR)的程度进行了参数化:宇宙学传播参数 (alpha_0) 与引力波色散参数 (beta)。利用 GWTC-3 目录及标准宇宙学距离-红移数据,我们进行了联合分层贝叶斯推理。研究结果证实,当前的观测数据与广义相对论完全兼容,并给出了 beta < 9e-23 (95% 置信度) 的严苛约束。本项工作将 CSSD 确立为广义相对论的一个严谨、可证伪的扩展框架,证明了尽管时空在宇宙学尺度上表现出本构累积效应,但在当前观测灵敏度内,它作为涌现的红外有效极限回归了广义相对论。