Emergence of Multidimensional Spacetime and Dynamical Gravity via Regularized Causal Information Networks

Abstract

The standard Λ‑CDM cosmological model faces severe empirical crises at high redshifts ($z>5$), highlighted by the James Webb Space Telescope’s (JWST) discovery of mature, massive galaxies that strain classical hierarchical‑structure‑formation timelines. To eliminate epistemological vulnerabilities of earlier State‑Relational Entropy (SRE) releases — including the phenomenologically‑calibrated hard‑coded compression constant $\alpha_0=0.12$ and residual ontological dependence on redshift‑coordinate differences — this work presents SRE v6.2‑rev, a fully background‑independent axiomatic framework built upon dissipation‑compensation duality. Physical spacetime and metric distance are no longer treated as primitive substrates; instead they emerge as macroscopic topological‑compensation overheads self‑organised by a decentralised bidirectional Möbius causal‑information network to counteract measurement‑entropy‑driven irreversible information dissipation. Dynamical compression coefficient $\alpha_{0,\mathrm{dynamic}}$ is analytically derived from spectral‑matrix resonance within each sliding observational horizon, removing manual fitting parameters. Emergent effective routing speed $c_\mathrm{eff}$ drops under primordial high‑dissipation conditions, while conformal‑gauge algebraic cancellation strictly preserves local measured light‑speed invariance and local Lorentz covariance. Based on 29890 real SDSS/eBOSS spectroscopic quasar spectra and 1500‑realisation non‑parametric Bootstrap Monte‑Carlo ensemble simulation, the Baik‑Ben‑Arous‑Péché (BBP) spectral‑rank phase transition separates a 2‑dimensional holographic‑projection phase and a 4‑dimensional unlocked‑spacetime phase. The earlier v6.1 theoretical‑reference value $z_\mathrm{crit}=4.1605$ is demoted to historical conjecture; the statistically‑simulated phase‑transition redshift from ensemble simulation yields $z^*=3.13$. Gravity arises as a thermodynamic gradient effect of local information‑dissipation. Above the simulated transition $z\ge z^*$, enhanced baryonic cooling boosts primordial accretion efficiency and alleviates the JWST early‑massive‑galaxy tension. The framework predicts a systematic factor‑2‑to‑4 jump in gravitational‑lensing deflection at the statistical phase boundary, originating from the network switching from single‑channel into dual‑parallel compensation routing, yielding a sharp observationally‑falsifiable topological imprint for forthcoming deep‑field astronomical surveys. 标准Λ‑CDM宇宙学模型在高红移($z>5$)下面临严峻的观测矛盾:詹姆斯·韦伯空间望远镜(JWST)观测发现大量成熟大质量星系,与经典层级结构形成的演化时标存在冲突。为解决早期状态‑关系熵(SRE)版本存在的认识论缺陷,包括人为调参得到的压缩常数$\alpha_0=0.12$,以及残留的对红移坐标差的本体依赖,本文给出SRE v6.2‑rev版本——一套完全背景独立、以耗散‑补偿对偶为基础的公理框架。本框架不再将物理时空与度量距离视作原始基底;时空作为宏观拓扑补偿开销,由去中心化双向莫比乌斯因果‑信息网络自组织涌现,用以抵消观测测量熵带来的不可逆信息耗散。 动态压缩系数$\alpha_{0,\mathrm{dynamic}}$由每个滑动观测视界内矩阵谱共振解析导出,消除人工拟合参数。原初高耗散环境下,网络涌现的有效传播速率$c_\mathrm{eff}$发生下降;共形规范代数抵消严格保证局域观测光速不变,满足局域洛伦兹协变性。本文基于29890条SDSS/eBOSS类星体实测光谱数据,采用1500次实现的非参数Bootstrap蒙特卡洛系综仿真,得到Baik‑Ben‑Arous‑Péché(BBP)谱秩相变,该相变划分二维全息投影相与四维解锁时空相。v6.1版本给出的理论参考值$z_\mathrm{crit}=4.1605$降级为历史猜想;系综仿真得到统计相变红移$z^*=3.13$。 引力表现为局域信息耗散产生的热力学梯度效应。在仿真相变阈值以上$z\ge z^*$,重子冷却得到增强,提升原初吸积效率,缓解JWST早期大质量星系形成疑难。模型预言:在统计相变边界处引力透镜偏折系数将发生2到4的系统性阶跃,该效应来源于网络由单通道切换至双通道并行补偿路由,为未来深场天文巡天提供明确可观测、可证伪的拓扑印记。