Geometric Information Dynamics Construction B: Geometric Reconstruction of String Theory via ∞-Groupoid Cosmology

Based on the two fundamental operational principles—conservation of information distinguishability and finite describability—this paper constructs the theoretical framework of ∞-groupoid cosmology. The core thesis of this framework is thatthe causal closure of the universe and its four-dimensional spacetime structure arenot a priori assumptions, but rather a macroscopic metastable state emergent fromthe underlying discrete information dynamics via a first-order phase transition after the information processing complexity surpasses a critical threshold. Researchdemonstrates that the core mathematical structures of string theory, such as CalabiYau compactification, can be strictly positioned as the effective field theory limitsof this framework at specific energy scales, with their seemingly free parametersoriginating from the algebraic rigidity of information geometry. The theory rigidlypredicts, with zero free parameters, observables such as the power-law evolutionindex of the effective cosmological constant (α ≈ 1.520), the oscillatory modulation amplitude of the primordial gravitational wave power spectrum (≈ 0.8%), andthe local-type non-Gaussianity parameter (flocalNL ≈−3.2), which are in high agreement with current precision cosmological observations. This achieves a bottom-up,logically self-consistent derivation from information principles to the macroscopicphysical universe.