  We investigate an emergent gravity in $(4+1)$ dimensions underlying a
geometric torsion ${\cal H}_3$ in $1.5$ order formulation. We show that an
emergent pair-symmetric $4$th order curvature tensor underlying a NS field
theory governs a torsion free geometry and is identified as the Riemann type
tensor. Interestingly a pair anti-symmetric $4$th order tensor is shown to
incorporate a dynamical correction underlying a ${\cal H}_3$ gauge potential
and is identified with a non-perturbative correction. The non-perturbative term
in the emergent action is shown to be described by a $U(1)$ gauge invariant
${\cal F}_4$ in a second order theory underlying an onshell ${\cal H}_3$ in a
first order. A complete emergent theory is elegantly described with an axion,
and hence a quintessence, coupling to the Riemann type geometries. The
curvatures are appropriately worked out to obtain a $12D$ emergent $F$ theory.
Further investigation reveals that a pair of $(M{\bar M})_{10}$-brane are
created across an event horizon. We obtain an emergent $M$ theory which in a
decoupling limit identifies with the bosonic sector of $N=1$ SUGRA in $11D$.
