$p:\mathfrak{L}_{\vartheta}({\sf{\Gamma}},{\sf{G}})\to \sf{T}^*\mathfrak{A}_{\vartheta}({\sf{\Gamma}},{\sf{G}})\otimes\frak{a}_\vartheta$
$\psi(p_\psi)=-\mathrm{d}\log h^\psi$
The entropy regulating form, a fibered map defined on the length cone-bundle that describes the variation of entropy.