From Information to Spacetime: A Unified Theory of General Relativity and Quantum-Gravitational Computation

This work presents a unified theory connecting General Relativity (as an emergent limit) with its quantum-informational foundations. We propose that classical spacetime (”It”) emerges from a process of irreversible gravitational computation (”Bit”), whose observable cost is dark energy. The framework unifies the pillars of Quantum Gravity (LQG), General Relativity (Chap. 4), open system dynamics (GKSL, Chap. 3), thermodynamics (RQT, Chap. 6) and relativistic information (RQIT, Chap. 8). The central mechanism is ”Anchoring”: a physical objective collapse (non-unitary) that occurs when the Kolmogorov complexity of the system exceeds a computational limit of the universe, postulated as a fundamental constant: κc = 2.04. This act of ”information erasure” (irreversible computation) obeys the Landauer Principle. We demonstrate (via RQT) that its energy cost does not dissipate, but is rigorously transformed into the source of dynamic dark energy: dΛ/dt ∝ ˙Sgen. The theory is falsifiable and offers concrete predictions: 1. A critical mass for collapse mmax ≈ 3.4×10−17 kg and a decoherence law τdec ∝ ρ−1/4, verifiable in matter interferometry experiments. 2. A cosmological correlation r > 0.5 between dark energy density ρΛ(z) and star formation rate ψ(z), verifiable by JWST and Euclid.