A reciprocal symmetry z↔1/z is identified in KNO scaling violations in pp collisions at 7-13 TeV, imposing P'(<n>)=-P(<n>)/<n> and enabling entanglement entropy extraction from the central multiplicity region.
Pomeron evolution, entan- glement entropy and Abramovskii-Gribov-Kancheli cut- ting rules
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The reciprocal symmetry of the KNO-violating term yields the new constraint δ₃=0 at n=⟨n⟩ (untestable at present precision), fails globally at 13 TeV, and the derived entropy S=ln⟨n⟩+I₀−½∫e^{-z}f_s²dz matches ATLAS data at 10⁻³.
The linearly polarized gluon distribution enhances entanglement of heavy quark pairs in electron-nucleus collisions when total and relative transverse momenta are orthogonal.
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Reciprocal symmetry and KNO scaling violation in proton-proton collisions
A reciprocal symmetry z↔1/z is identified in KNO scaling violations in pp collisions at 7-13 TeV, imposing P'(<n>)=-P(<n>)/<n> and enabling entanglement entropy extraction from the central multiplicity region.
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Higher-order local constraints from reciprocal symmetry and entanglement entropy of charged-particle multiplicity distributions in $pp$ collisions
The reciprocal symmetry of the KNO-violating term yields the new constraint δ₃=0 at n=⟨n⟩ (untestable at present precision), fails globally at 13 TeV, and the derived entropy S=ln⟨n⟩+I₀−½∫e^{-z}f_s²dz matches ATLAS data at 10⁻³.
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Quantum entanglement in electron-nucleus collisions: Role of the linearly polarized gluon distribution
The linearly polarized gluon distribution enhances entanglement of heavy quark pairs in electron-nucleus collisions when total and relative transverse momenta are orthogonal.