Minimal data needed for a genuine Q2 completion

A successor must provide:

1. a specific covariance representative, or specific distributional Cauchy covariance data determining it;

2. a constructed physical algebra and proof of quotient descent and positivity on that algebra, or a precisely stated nonpositive alternative;

3. infrared estimates proving the needed native one-rod compositions on a stated noncompact test domain;

4. a separate admissible treatment of two-sided rod covariances allowing the canonical inverse-distance component, if those covariances are needed;

5. either an exact subsidiary correction satisfying the state and tail restrictions or an explicit retained-defect interpretation;

6. the additional product and extension arguments required for the nonlinear lapse.

The last item belongs to Q3. It is not supplied by the local free subtraction theorem.