Non-supersymmetric string dualities from S^1 v S^1

Perturbative strings describe only certain limits of quantum gravity. In the supersymmetric setting, dualities unify those limits into the broader M-/F-theory framework. Non-supersymmetric string theories have long stood outside this unifying picture. I will present evidence that the missing bridge is the quantum geometry S^1 v S^1, realizing the Type 0A string. Natural quotients and variants of this geometry realize the remaining non-supersymmetric strings, including bosonic strings. This suggests a non-supersymmetric completion of the M-/F-theoretic duality web.