How do you polish wood?
Polish as in using a wax and rubbing it in gently, or finishing wood to a fine finish as in using 800 grade wet and dry corundum paper and Scandinavian oils and hand rubbing the oil in for a fine smooth finish.
With wood polish.
Even a fine "grit" will degrade the appearance/quality of the wood, whether soft or hard. Best to consult a professional, such as: carpenter, naturalist, or arborist.