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Surface an operational-entropy metric for convergence gating #412

@hadamrd

Description

@hadamrd

Umbrella (not dispatchable). The loop measures delivery quality via the scorecard but never measures its own operational exhaust. The vision requires operational entropy — open loop/ branches, live (leased) worktrees, open epics, and oldest open-backlog age — to be computed and surfaced on status and the operator console so generation can be gated on convergence rather than running blind. This epic lands that metric in three verification-easy slices: (1) a pure snapshot function, (2) a status-command row, (3) a console_api payload field. Each sub-ticket is one mechanism and ships alone. Sub-tickets: 'Add a pure operational_entropy snapshot function', 'Render the operational-entropy snapshot on forge-loop status', 'Expose the operational-entropy snapshot in the console_api status payload'.

Customer story

A forge-loop operator who must not drown in the loop's own exhaust: today the operator can see queue depth and axes but has no single figure for how many orphan branches, live worktrees, open epics, and stale backlog items have piled up — so they cannot tell whether the loop is converging or quietly accumulating entropy.

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    axis:operational-convergenceValue axis: operational convergence (GC the loop's own exhaust)epicMulti-PR umbrella tracking a major theme

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