Oh, this is without doubt an experiment.

[Homura carries his shirt over his shoulder, preferring that to risking losing Ayumu should she decide to dart behind a bush at some former friend now suddenly seen as an enemy. Although it is fortunate that Ayumu at least seems to see him the same, Homura has to wonder exactly who this "Derrick" is supposed to be.]

Considering that, you might not be so shocked to hear this. Where is "home" supposed to be, exactly?