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.
KNO scaling, memoryless- ness and maximal entanglement at universal fixed point
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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 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
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).