  A new stabilizer free weak Galerkin (WG) method is introduced and analyzed
for the biharmonic equation. Stabilizing/penalty terms are often necessary in
the finite element formulations with discontinuous approximations to ensure the
stability of the methods. Removal of stabilizers will simplify finite element
formulations and reduce programming complexity. This stabilizer free WG method
has an ultra simple formulation and can work on general partitions with
polygons/polyhedra. Optimal order error estimates in a discrete $H^2$ for $k\ge
2$ and in $L^2$ norm for $k>2$ are established for the corresponding weak
Galerkin finite element solutions. Numerical results are provided to confirm
the theories.
