Appendix C: The cut-out regions as physically coherent transition regions

The hole-cutting technique is based upon the assertion that the interior parts of rotation curves are transition regions between bulge-dominated and disc-dominated dynamics, and Table B1 provides strong evidence in support of this.

Additional strong evidence is provided by Sect. 4 of (Roscoe 1999A) Table 1 there shows that the pre-hole cutting values of $R_{{\rm min}}$ act, with near certainty, as noisy traces of optical radii. Similarly, Table 2 there shows how the post-hole cutting values of $R_{{\rm min}}$ also act, with similar near certainty, as noisy traces of optical radii. Since the optical radii themselves are very likely dependent upon bulge radii, then a natural conclusion is that the pre-hole cutting and post-hole cutting values of $R_{{\rm min}}$ provide estimates of the boundaries of bulge radii effects.

In other words, there is good evidence to support the conclusion that the two values of $R_{{\rm min}}$ provide estimates to the interior and exterior boundaries of physically coherent transition regions between bulge-dominated and disc-dominated dynamics.

Figure E1: Convergence of Fourier modes in the Mk IV auto-folder applied over the whole PS sample