Infogravity 4.4 : Informational Regimes and Phase Transitions of Emergent

Infogravity 4.4 develops a computable theory of informational regimes and phase transitions of emergent geometry. Building on the inevitability of Fisher-information geometry established in Infogravity 4.3+, this work introduces no new forces, fields, or microscopic degrees of freedom. Instead, it classifies admissible physical descriptions of a single informational substrate into stable operational regimes defined by robustness under coarse–graining flows. Informational regimes are formalized as stability basins in description space, characterized by scale-dependent invariants such as the information-loss rate, Fisher spectrum, correlation length, and susceptibility. Sharp regime transitions arise at boundaries where descriptive robustness reorganizes, corresponding to the loss or replacement of sufficient statistics and qualitative changes in information–geometric structure. A central Regime Transition Theorem establishes these transitions as unavoidable consequences of coarse–graining dynamics, providing a precise informational analogue of phase transitions in renormalization-group theory. A minimal, externally controlled toy model demonstrates computability and finite-size scaling, revealing four universal operational roles: long-range linking, localized binding, critical transmutation, and organization-dominated universality. Within this framework, gravity and spacetime geometry are reinterpreted as manifestations of descriptive stability rather than fundamental interactions. Infogravity 4.4 thus extends the program from the inevitability of geometry to a structured, phase-based understanding of how geometry operates across regimes.《信息引力4.4》（Infogravity 4.4）提出了一套可计算的信息态与涌现几何相变理论。 本研究基于Infogravity 4.3及以上版本中确立的费舍信息几何（Fisher-information geometry）必然性，未引入任何新的力、场或微观自由度。转而将单一信息基底的可接受物理描述，归类为以粗粒度流鲁棒性为定义的稳定运作态。 信息态被形式化为描述空间中的稳定吸引域，其特征为依赖于尺度的不变量，包括信息损失率、费舍谱、关联长度与磁化率。态跃迁发生在描述鲁棒性发生重构的边界处，对应于充分统计量的丢失或替换，以及信息几何结构的定性变化。 核心的态跃迁定理（Regime Transition Theorem）将此类跃迁确立为粗粒度动力学的必然结果，为重整化群（renormalization-group）理论中的相变提供了精准的信息几何类比。一个极简的外部受控玩具模型验证了其可计算性与有限尺度标度性，并揭示了四类普适运作角色：长程关联、局域束缚、临界嬗变与组织主导型普适性。 在此框架下，引力与时空几何被重新诠释为描述稳定性的显现，而非基本相互作用。因此，《信息引力4.4》将该研究纲领从几何的必然性，拓展至对几何如何在不同态间运作的结构化、基于相变的理解。