  We formalize an abstraction of Grothendieck's philosophy of motives and
construct a category of derived motivic spectra in the Segal category
$\mathbb{R} \underline{\text{Hom}} ((\text{dSt}_k)^{\text{op}}_{/F},
\text{Top})$ ($\text{dSt}_k$ the Segal category of derived stacks on s$k$-Alg,
Top = $L \text{Set}_{\Delta}$ the Segal category of simplicial sets), thereby
providing a starting point for a construction of a stable motivic homotopy
category in the Segal setting.
