## Problem 298 — rank:195

**Title:** Information–thermodynamics transition to life

**Added binding assumptions (LaTeX):**

```latex
Specify an actual feasible scrambling kernel on the joint physical state. Removing memory--environment dependence while preserving chosen marginals and controls can be impossible under physical-state constraints; any permitted mismatch needs a stated norm and tolerance. Use mean total entropy production for the nonnegative dissipation claim, since trajectory-level stochastic entropy production need not be nonnegative. The intervention cost and the system's subsequent operating cost are separately accounted.
```

**Direct edits:** 2. **Fresh external checks:** None; supplied sources retained as provenance.