  By the introduction of locally constant prefactorization algebras at a fixed
scale, we show a mathematical incarnation of the fact that observables at a
given scale of a topological field theory propagate to every scale over
euclidean spaces. The key is that these prefactorization algebras over
$\mathbb{R}^n$ are equivalent to algebras over the little $n$-disc operad. For
topological field theories with defects, we get analogous results by replacing
$\mathbb{R}^n$ with the spaces modelling corners
$\mathbb{R}^p\times\mathbb{R}^{q}_{\geq 0}$. As a toy example in $1d$, we
quantize, once more, constant Poisson structures.
