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During my PhD days, I remember my advisor once telling me to look at a paper on the LPPL model by Dr. Didier Sornette, which detects faster-than-exponential (i.e., unsustainable) growth or financial bubbles. I found it very interesting but was never able to apply it to trading during my career. Today I traded something for the first time: short platinum. Based on the LPPL model applied to platinum over the last 6 months, the price is not only in a bubble but also has an imminent critical time in the next few days. Meanwhile, silver has a critical time around January 5, 2026, after today’s move. It may still have some more room to run, but it is also very vulnerable to a steep pullback. From a fundamental perspective, platinum supply can increase relatively quickly thanks to mine closures in the last few years due to low prices. Platinum and palladium futures are trading at an unsustainable premium to spot prices in both NY and China. #Silversqueeze $PPLT $SLV