Configuration-space geometry yields universal scaling √Var(r_H) ~ L^{-2β/ν} at criticality for zero-magnetization systems and enables information-geometric detection of phase transitions in TFIM and SSH models.
The mean (first moment) ⟨rH ⟩ and standard deviation (second moment) p Var(rH) of the distribution are directly computed from the dataset {rH }
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On the criticality of the configuration-space statistical geometry
Configuration-space geometry yields universal scaling √Var(r_H) ~ L^{-2β/ν} at criticality for zero-magnetization systems and enables information-geometric detection of phase transitions in TFIM and SSH models.