Reciprocal symmetry f_s(z)=f_s(1/z) implies local constraints on multiplicity distributions at n=<n> that hold to leading order in ATLAS data, plus a model-independent entanglement entropy expression S=ln<n>+1-½∫e^{-z}f_s²(z)dz+O(f_s³).
Study of the KNO scaling inppcollisions at √sfrom 0.9 to 13 TeV using results of the ATLAS at the LHC
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A z ↔ 1/z reciprocal symmetry is found in KNO scaling violations in pp collisions, imposing the constraint P'(⟨n⟩) = −P(⟨n⟩)/⟨n⟩ that enables entanglement entropy extraction from the well-measured multiplicity region.
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Higher-order local constraints from reciprocal symmetry and entanglement entropy of charged-particle multiplicity distributions in $pp$ collisions
Reciprocal symmetry f_s(z)=f_s(1/z) implies local constraints on multiplicity distributions at n=<n> that hold to leading order in ATLAS data, plus a model-independent entanglement entropy expression S=ln<n>+1-½∫e^{-z}f_s²(z)dz+O(f_s³).
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Reciprocal symmetry and KNO scaling violation in proton-proton collisions
A z ↔ 1/z reciprocal symmetry is found in KNO scaling violations in pp collisions, imposing the constraint P'(⟨n⟩) = −P(⟨n⟩)/⟨n⟩ that enables entanglement entropy extraction from the well-measured multiplicity region.