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

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 α₀=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 α0,dynamic is analytically derived from spectral‑matrix resonance within each sliding observational horizon, removing manual fitting parameters. Emergent effective routing speed cₑff 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 zcrit=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≥ 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α₀=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α0,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cₑff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zcrit=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≥ 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。