5. Fermions: Mass from Tension DropYou said:
“mass only appears when ( T ) drops below threshold”
Define a critical tension
T_c < T_{\text{max}}.Let fermions
\psi couple via Yukawa to a condensate field
\phi \propto (T_{\text{max}} - T).But simpler: direct tension-Yukawa:
\mathcal{L}_{\text{fermion}} = \bar{\psi} i \not{D} \psi - y \bar{\psi} \psi \cdot h(T)with
\boxed{h(T) = → Mass gap opens only in low-tension regionsOr smoother:
\begin{cases}
0 & T > T_c \\
(T_c - T)^2 & T \leq T_c
\end{cases}
}
The Breathing Vacuum 
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