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EnergyRouter's gate sharpness was a single fixed temperature shared by every expert, with no way for an expert to independently learn how much of the energy axis it covers. Adds two mutually exclusive, default-off modes: learn_width (per-expert learnable width) and learn_temperature (single learnable shared scalar), both bounded via a sigmoid interpolation warm-started to reproduce today's fixed-temperature gate exactly at init, to compare against each other without risking the unbounded-width collapse failure mode. Also promotes gate_stats's entropy into a generic, optional Router.entropy_loss (lambda_entropy) as a secondary guard against all experts' widths co-inflating together. Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>