Information Universe Trilogy 2: A Bridge Connecting Quantum Fiber Spacetime with Macroscopic Emergence

This paper proposes an ”information-geometry duality” theoretical framework aimed at unifying the description of microscopic quantum gravity and macroscopic emergent phenomena. The framework establishes a computable bridge between f iber bundle geometry (the core of quantum fiber dynamics) and the extremum principle of structural information density-stability entropy (the core of the structural stability series). We propose that macroscopically robust emergent phenomena essentially result from the dynamics of microscopic fiber bundle gauge connections tending towards specific extremum points in the moduli space, where these points simultaneously maximize the structural information density ρinfo and minimize the stability entropy Sstab. We validate this duality through three case studies: topological quantum computation, spacetime emergence, and black hole thermodynamics, and predict new testable effects in condensed matter systems and cosmology. This research provides a unified ”translation” framework for understanding multi-scale order, from the spacetime fabric to the complexity of life.