Information Dynamics: A Quantum Gravity Framework Based on Internal States of Information Entities and Information Conservation

This paper proposes a theoretical framework that unifies quantum mechanics and general relativity from first principles. The core postulate: the most fundamental structure of the universe is the information entity. Each information entity carries an internal complex weight and evolves independently in the A-state. Physical reality (the A-state) is the set of all observable attributes. Core contributions include: The structure of the gauge group SU(3)×SU(2)×U(1) is rigorously derived from the mathematical structure of the internal complex weight of the information entity in Axiom 1 – the generator count 1:3:8 is an inevitable consequence of the rank truncation of the correlation matrix; the four-dimensionality of the A-state and the Minkowski signature are derived conclusions, not presuppositions; the Born rule is rigorously derived; quantum entanglement is reduced to information conservation; a complete geometric framework for the fermion mass spectrum is established – base interior angles are given by MM spectral clustering, the equilateral interior angle of 58∘58∘ is derived from W+/W−W+/W− symmetry, neutrino δδ is determined by MM-spectrum ellipticity, and charged lepton mass ratios are given by the U(1) line direction and rarity factors; the electroweak scale vv is a geometric function of the base interior angles; the derivation pathway for the fine-structure constant αα is established; ηη evolution is rigorously derived from the field equations, and the background cosmology is equivalent to ΛΛCDM; the Einstein field equations emerge from Regge calculus; dark matter is the local spectral gap of the information entity correlation network on galactic scales; the analytic framework for a complete extension of quantum field theory is established; the conclusion that the propagator vanishes in the vacuum holds; primordial non-Gaussianity fNLfNL may violate the single-field consistency relation in the squeezed limit. The theory provides 18 testable predictions, covering multiple independently verifiable windows from quantum gravity to cosmology, with explicit falsification conditions set for each prediction. Postdictions cover 11 existing observational anomalies.