Universal Mass Formula for Exotic Hadrons from Spectral Graph Theory: Evidence at 4.8σ

We present a parameter-free mass formula for exotic hadrons derived from spectral graph theory. Modeling multi-quark states as complete graphs K_N where N is the number of valence quarks, we demonstrate that hadron masses follow the universal relatio: M = α X N(N-1) with a calibration constant α = 156.4 MeV fixed solely by the proton mass. This formula successfully identifies four exotic states: the tetraquark f_0(1710) at N=4 (1750 MeV observed vs. 1877 MeV predicted), the hexaquark X(4700) at N=6 (4704 MeV observed vs. 4692 MeV predicted), the heptaquark X(6600) at N=7 (6600 MeV observed vs. 6569 MeV predicted), and the octaquark X(8750) at N=8 (8750 MeV observed vs. 8758 MeV predicted). The model further predicts a Nonaquark (N=9) at 11,259 MeV and a Decaquark (N=10) at 14,074 MeV, offering falsifiable targets for LHC Run 3. The combined statistical significance of the correlation reaches 4.8σ (p-value = 1.3 x 10⁶ with a Bayes Factor of 720,866 against a random distribution hypothesis. This suggests that hadron mass generation may have a fundamental topological component related to the connectivity of valence quarks.