I switched my search for low kurtosis directions in spectrum space into a search for bimodal directions.  That is, I wrote down a scalar (which has to do with k-means with k=2) that decreases as a distribution becomes more bimodal.  Then I searched Tsalmantza's high-variance PCA components for directions in the space that are most bimodal
.  I find three, perpendicular bimodal directions!  Of course each one is a different version of the red–blue galaxy bimodality, of which I have been an unheard critic.  More on this as I understand it better.
Surhud More (MPIA) and I began working this week on the monopole term in the opacity of the Universe, using the consistency of baryon-acoustic and supernovae measures of the expansion history to check the phase-space conservation of photons. This test is (nearly) independent of world model, as it depends almost entirely on purely special-relativistic considerations. We hope to have an LPU (least publishable unit) on the subject soon.
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