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Barthelemy found that his metric could indeed identify tipping points in specific matches. Furthermore, when he averaged his analysis over a large number of games, an unexpected universal pattern emerged. “We observe a surprising universality: the average fragility score is the same for all players and for all openings,” Barthelemy writes. And in famous chess matches, "the maximum fragility often coincides with pivotal moments, characterized by brilliant moves that decisively shift the balance of the game.”
Oh c'mon! I could've told you that.
But, fwiw, this is why Magnus Carlsen said something like all he needs is a single evaluation (a score for who's winning), just once a game, to decisively beat all other grandmasters 100% of the time.
I think it's because of this fragility / tipping points idea. Many GM games are determined by a single tipping point; a single blunder or brilliancy, if you will.