Unified Theory TAGC–LQG–RG

This work presents a rigorous mathematical and physical formalization of the unified theory TAGC–LQG–RG, connecting the Quantum Gravitational Anchoring Theory (TAGC), Loop Quantum Gravity (LQG), and General Relativity (GR). Through an axiomatized methodology verifiable via yes/no questionnaires, we obtain a master equation in Lindblad– GKSL form that preserves norm and complete positivity, establishing an explicit link between quantum dynamics and emergent classical geometry. The theory predicts four experimentally falsifiable relations: (1) quantum-gravitational decoherence τdec ∝ ρ−1/4, (2) a superposition limit mmax ∼ 10−17 kg, (3) correlation between dark energy and structure formation, and (4) an electromagnetic correction of order α to spacetime geometry. The structure rests on eight fundamental axioms, defined by mathematical coherence, physical consistency, and experimental falsifiability. This unified framework proposes a new electro-gravitational vision of spacetime, where the interaction between gravity and the electromagnetic vacuum produces the observed effective metric.