Informational Hierarchical Dynamic Duality (IHDD): A Geometric–Informational Framework for Quantum Gravity and Cosmology

This repository contains Version 1.1 of the Informational Hierarchical Dynamic Duality (IHDD) framework. IHDD is a unified, information-theoretic and geometric approach to quantum gravity, cosmology, and fundamental interactions, based on a non-orthogonal $\pi$-lattice with dual informational flow. The work presents a formal axiom set, action principle, field equations, and derived theorems showing how spacetime, particles, forces, cosmological expansion, and horizon physics emerge from informational geometry. Quantitative predictions are provided for cosmological observables, particle spectra, gravitational-wave echoes, and laboratory-scale analog tests, with explicit falsifiability criteria. Version 1.1 adds an explicit derivation of the electromagnetic fine-structure constant as an emergent geometric quantity of the lattice, refines structural organization, and clarifies the role of dimensionless constants within the IHDD framework. No changes were made to the canonical axioms. This release is intended for dissemination and archival purposes. The corresponding manuscript is prepared for submission to arXiv. Future revisions, if any, will be versioned consistently within this record.