Why it is a question
A110 §IX.3: “Given a reconstruction kernel K, determine which observables satisfy Kf = f and which satisfy a bounded defect condition ‖Kf − f‖ ≤ ε. Investigate how these quantities depend on interpretive frames, genres, and model adaptation.” The argument’s §7 had boxed the general form: “Which observables are invariant under which communicative transformations?”, with the answer depending on the class: literal paraphrase, cross-cultural translation and text-to-image admit different transformations (A106).
Where it stands
The manuscript §4 gives the conservation criterion (CLAIM-107) and asks “at what reconstruction stage does the relation characterizing an affiliative act cease to be approximately invariant?” The dependence on frame, genre and adaptation is not asked. It joins this question to CLAIM-074 and CLAIM-049.
Note of 2026-10-11: material in the record that may bear on this
A synthesis review of 2026-10-11 found these entries bearing on this
question without being linked to it. Each is listed for what its title
says; none has yet been assessed as an answer, and none is linked by
answers.
- THEORY-158: In a Markov process, an observable commutes with the generator exactly when its mean and variance are both…
- CLAIM-094: A harmonic observable conserves only its mean, and Baez and Fong show that mean conservation for every…
- CLAIM-093: Not every invariance of a stochastic or communicative process implies a Noether conservation law: the…
- THEORY-160: In the algebraic Hamiltonian setting, symmetry and conservation correspond because the bracket is…
- THEORY-190: The S¹ hidden-metric network model is approximately closed under geometric coarse-graining: merging…