m\_\^2   [m\_0\^2]{} M\^2e\^[-]{}  ; m\_[-]{}\^2   [m\_0\^2]{} N\^2e\^ For integer $N,M$ this has the structure of towers of winding and momenta becoming light as the scalar $\phi$ goes to infinity. Our interpretation is that these towers are the WGC scalars which are required so that gravity keeps on being the weakest force when $|\phi|$ goes to infinity. If $\phi$ is identified with a modulus, this is precisely the statement in the swampland distance conjecture [@distance; @paltidistance; @irene; @thomas]. Notice also that the extremal solutions know about winding and hence about string theory. This is in agreement with the argument in [@vafafederico] that the distance conjecture requires the existence of extended objects. Thus towers of quantized momenta and winding from a 5D string compactified on a circle saturate the 4D Strong scalar WGC. This is remarkable, since there is no explicit circle compactification nor winding strings in the original differential equation. A dimension of radius $R$ emerges from the condition of the Strong SWGC conjecture. If this is the case, there should also be an emerging graviphoton under which the momenta are charged, justifying a posteriori choosing $N,M$ integers. Note finally that obviously one could rather identify $e^\phi$ with a [*gauge*]{} coupling 