Nature of the DSS period mismatch in the m=2 sector

Ascertain whether the observed difference between the discrete self-similarity periods inferred from the subcritical scaling plot and from the central field oscillations in the m=2 axisymmetric Einstein–Klein–Gordon simulations reflects a genuine physical discrepancy between threshold descriptions or is due to limited parameter-space sampling.

Background

For m=2, the authors measure a DSS echoing period near Δ≈0.09 from central field oscillations, while the superposed oscillations (‘wiggle’) in the subcritical scaling plot exhibit a much longer period around 2.9. Because their phase-space sampling is relatively sparse, they caution against overinterpretation.

They explicitly note that they cannot determine whether this difference signals a real physical discrepancy between threshold descriptions or results from limited sampling/resolution, and thus leave its resolution as an open question.