Test the predicted high-crystallinity turnover of the crystallization closure

Determine whether the sine crystallinity factor in the recovered flow-induced crystallization closure actually turns over at crystallinity values beyond the sampled range.

Background

The recovered SCOPE expression contains a sine factor whose fitted behavior is monotonically increasing over the observed crystallinity interval but predicts a turnover at higher crystallinity. Because no experiment reaches that interval, the prediction is an extrapolation rather than an established property of the physical closure.

Resolving this question would establish whether the apparent monotonic crystallinity dependence persists at the upper end of the allowed range or instead exhibits the turnover implied by the candidate equation.

References

The sine crystallinity factor is constrained only over the sampled range; its algebraic form predicts a turn at higher crystallinity, but no acquisition reaches that state interval.

— Beyond Equation Search: Conjecture-Guided Discovery with SCOPE and ClosureBench  (2610.18938 - Hu et al., 13 Oct 2026) in Appendix C, subsection “SCOPE: Flow-Induced Crystallization Scientific Report,” Section 6