  In [Entropy 25, 564 (2023)] I considered the problem of wavefunction
ensembles for spin models. To observe magnetization at finite temperature, I
had to add macroscopic nonlinear terms blocking macroscopic superpositions by
energy conservation. The nonlinear terms were of the kind introduced in [W.D.
Wick, arXiv:1710.03278 (2017)] to block spatial cats by energy conservation as
solution to the Measurement Problem. Reviewing the theory from [W.D. Wick,
arXiv:1710.03278 (2017), arXiv:1908.02352 (2019)], I derive a commutation
relation that these nonlinear terms have to satisfy to be admitted and show
that the terms of [W.D. Wick, arXiv:1710.03278 (2017), arXiv:2008.08663 (2020)]
restricting the wavefunctions in space satisfies such relations. I generalize
the terms of [Entropy 25, 564 (2023)] for non-pure spin models and check if
they also satisfy the constraints, concluding with a negative answer. An
experimental estimate to test the proposal of [W.D. Wick, arXiv:1710.03278
(2017)] is described at the end.
