Topological Thermodynamics of the Double-Helix: Autocatalytic Growth and Entropy Export in QGEFT

The current Paper 39 benchmark does not claim that full DNA chemistry, real metabolic biochemistry, or a cellular energy cycle have already been derived on a graph. It does show that the `N=512` QGEFT Eden branch supports a protected double-helix colony that grows from `6` to `210` pairs (`420` nodes) while preserving exact motif density `= 1.000` throughout `200` sweeps. That local order is not free: the same run requires `204` successful replication events and `439` remote entropy-dump cuts, about `2.15` exported-damage edges per successful event. The strongest defensible conclusion is therefore that the double helix behaves as a topological heat engine, maintaining perfect local structural fidelity by exporting thermodynamic damage into the surrounding vacuum.