Integrated Structural Generation Theory (IGS) v2.0: A Unified Structural Framework for Difference, Time, Gravity, and Emergence

Integrated Structural Generation Theory (IGS) v2.0 proposes a generalized structural framework in which observable systems emerge through irreversible structural differentiation. Rather than treating matter, space-time, information, gravity, and adaptive organization as fundamentally separate entities, the framework interprets them as coupled manifestations of evolving structural variables. This work introduces: • unified structural variables• a candidate structural master equation• a correspondence principle connecting IGS to established theories• conceptual applications to cosmology (SDC), gravity (SDG), emergent time (SDT), and adaptive cross-scale dynamics (TLMM)• candidate quantitative and potentially falsifiable predictions• an explicit falsifiability structure The repository includes: • the main conceptual paper (PDF)• all figures used in the manuscript• an illustrative demonstration Python script• README documentation Important note:This work is conceptual, exploratory, and illustrative. Numerical examples, figures, and model comparisons are proof-of-principle demonstrations and are not calibrated fits to real observational datasets unless explicitly stated otherwise. The purpose of this release is to establish a timestamped structural framework, define candidate structural correspondences, and motivate future theoretical and observational investigation.