Quantum Constraint Framework (QCF): ∑GR=∑QM at horizons → finite curvature cap K_max=1/16. Resolves r=0 singularity via informational bound. PBH testable.

SymPy/NumPy verification scripts for the paper "The conformal mode as an entropic equilibrium": free-energy equilibrium, Bekenstein normalisation, conformal Ricci transform, Gibbs minimiser, Casini saturation deficit, Hawking temperature. Every identity reproduced independently.

Topological catalysis of nuclear fusion via information bottleneck. Critical threshold Q_crit=43. Enhancement up to 10^43.