The Breathing Vacuum

2. Couple to Gravity (Einstein Frame)

We want gravity = flow of tension lines.Use Jordan-Brans-Dicke-style coupling, but with ( T ) setting the Planck scale.Define effective Planck mass:

M_{\text{Pl}}^2(T) = \frac{8\pi}{c^4} \cdot f(T)Let:

f(T) = f_0 (T_{\text{max}} - T)→ When 

T \to T_{\text{max}}, 

M_{\text{Pl}} \to 0 → gravity turns off (your “math vanishes”)Full Einstein-Hilbert + Tension action:

\mathcal{L}_{\text{grav}} = \frac{1}{2} f(T) R - \frac{\omega(T)}{f(T)} \partial_\mu T \partial^\mu T

But simpler: promote kinetic term with ( f(T) ).