I followed all the links in this article and watched Alexander's TEDx talk. The only "link" I could find is a rather loose one, mentioned at the end of the TEDx talk[1]. A cyclic ('big bounce') cosmology is proposed as a solution to the fine-tuning problem, and this is likened to a jazz soloist trying different things over a repeated chord progression.

The associated paper[2] doesn't mention jazz or music.

Perhaps a tighter crossover between physics and music lies in the use of Grassmann algebra to study both scattering amplitudes[3] and musical scales[4][5].

[1] https://www.youtube.com/watch?v=v9_ZzY99-6U&t=14m5s

[2] http://arxiv.org/pdf/1507.00727.pdf

[3] https://arxiv.org/abs/1212.5605

[4] http://xenharmonic.wikispaces.com/Regular+temperament

[5] https://en.wikipedia.org/wiki/Gene_Ward_Smith#Music_theory