Definitely! ‘Imaginary’ happiness as well to allow for periodicity. But before all of that the linearity assumption [H(a+b)=H(a)+H(b)] needs to be restricted

Definitely! ‘Imaginary’ happiness as well to allow for periodicity. But before all of that the linearity assumption [H(a+b)=H(a)+H(b)] needs to be restricted to particular local domains, and explicitly disclaimed in general.