In the final Chapter of this book we present an overview of recent and ongoing work, taking the first steps towards a quantum theory for noncommutative geometry. Indeed, in the applications to particle physics phenomenology one applies the usual, physicist’ textbook renormalization group methods to the spectral actionSpectral action, in order to arrive at couplings and mass parameters at lower energy. And even though the appearance of such experimentally testable results from a geometrical framework valid at high-energies is very intriguing, this step remains a weak point of the noncommutative approach to particle physics. In other words, it means that in the passage to the quantum theory one looses the elegant spectral and unifying picture that one started with.