From Information to Spacetime. Synthesis of Landauer, Kolmogorov and Renormalisation Group in TAGC-LQG-RG Theory

We present a unified theoretical framework for quantum gravity grounded in informational principles that synthesises Loop Quantum Gravity, gravitational anchoring, and renormalisation group theory. Classical spacetime emerges from a fundamental informational process: the transition from quantum states characterised by high Kolmogorov complexity KK K to localised classical states when KK K exceeds a critical threshold κc=2.04\kappa_c = 2.04 κc​=2.04. Three axioms are motivated from established principles: Landauer's principle relates dark energy Λ(t)\Lambda(t) Λ(t) to irreversible information erasure; Kolmogorov complexity characterises computational limits of spacetime; and renormalisation group describes emergence as arrested information flow across scales. We derive four falsifiable predictions: decoherence scaling τdec∝ρ−1/4\tau_{\mathrm{dec}} \propto \rho^{-1/4} τdec​∝ρ−1/4, critical mass mmax⁡∼10−17 kgm_{\max} \sim 10^{-17}\,\mathrm{kg} mmax​∼10−17kg, positive correlation between dark energy and star formation (r>0.5r > 0.5 r>0.5), and electromagnetic metric correction δg∼α\delta g \sim \alpha δg∼α. Monte Carlo simulations (N=1000N = 1000 N=1000) validate global causal preservation despite local superluminal velocities (v>cv > c v>c in 6.74\% events, zero causal violations) and demonstrate a no-go theorem for stable 5-dimensional extensions. Bayesian analysis of JWST data yields substantial evidence (log⁡K≈136\log K \approx 136 logK≈136, Bayes factor ∼1059\sim 10^{59} ∼1059) for the predicted Λ\Lambda Λ--star formation correlation. These results suggest a concrete route towards resolving the measurement problem and formulating testable quantum gravity without extra dimensions.