Operational Coherence Bounds on Quark-Gluon Plasma Thermalization and Transport

I apply the Operational Coherence Bound (OCB) and quantum Operational Coherence Bound (qOCB) frameworks to heavy-ion collisions and quark-gluon plasma (QGP) physics. By extending qOCB to thermal KMS states, I derive fundamentalbounds on QGP thermalization time and viscosity-to-entropy ratio. I prove: (1)Thermalization time satisfies τtherm ≥ ℏ/2πkBT, consistent with RHIC/LHC data;(2) The viscosity-to-entropy ratio obeys η/s ≥ ℏ/4πkB, reproducing the KSS boundwithout AdS/CFT; (3) Information scrambling in QGP follows the MSS bound t∗ ≥ (β/2π) ln S. I derive explicit formulas for the matter contraction coefficient κmatter(g, Nf ) from Schwinger-Dyson equations and prove the spectral comparison inequality κ(g) ≥ c · m(g) using Logarithmic Sobolev Inequalities. These results demonstrate that operational coherence constraints apply universally across gravitational and flat-space quantum field theories, providing testable predictions for heavy-ion experiments without requiring holographic duality.