  We consider a simpler geometrical formulation of General Relativity based on
non-metricity, known as Coincident General Relativity. We study the ADM
formulation of the theory and perform a detailed Hamiltonian analysis. We
explicitly show the propagation of two physical degrees of freedom, as it
should, even though the role of boundary terms and gauge conditions is
significantly altered. This might represent an alternative promising new route
for numerical relativity and canonical quantum gravity. We also give an outlook
on the number of propagating degrees of freedom in non-linear extension of
non-metricity scalar.
