Overview
Third in a sequence on LQG with explicit internal time. This paper tackles the scalability question: can the framework, previously validated on 2-node toy models, run on networks of ~100 nodes while preserving physical validity?
What the paper shows
- Universal internal-time convergence — a crossover at N ≈ 25 beyond which total internal time T_total saturates near ≈ 5–6, a genuinely system-size-independent timescale for quantum cosmological bounces.
- Sub-quadratic scaling — algorithm complexity T_comp ∝ M^1.74 (with M edges), tractable on standard workstations.
- Singularity resolution robustness across random, cubic-lattice, and scale-free topologies.
- Delivered with ~7,850 lines of open-source implementation.
Where it sits
Companion paper to the two earlier LQG manuscripts on quantum bounce and internal-time GR emergence. Together they form the foundation for the absolute-time and mathematical-foundations strand of the notes.