2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119018We prove that a temperature independent mass distribution is identically zero below a mass threshold (mass gap) value, if the pressure satisfies certain inequalities. This supports the finding of a minimal mass in quark matter equation of state by numerical estimates and by substitution of analytic formulas. We present a few inequalities for the mass distribution based on the Markov inequality.4 pages LaTeX, 6 eps filesHigh Energy Physics - Phenomenologytext