Heat the soup pot over medium to medium-high heat. Add the ground beef, celery and half of the mineral salt. Cook for 5 to 8 minutes, breaking the beef into small pieces, until most raw pink is gone and the rendered beef fat lightly coats the celery.
Add the grated carrots, ginger powder and dried dill. Stir briefly, until the carrot and seasonings are distributed evenly through the beef.
Add the filtered water or meat stock, cubed turnips and remaining mineral salt. Bring to a simmer, lower the heat to small steady bubbles, cover and cook slowly for 15 minutes, until the turnips pierce easily but retain their edges.
Add the chopped completed pickles and their brine. Simmer slowly, uncovered, for 5 minutes, stirring once or twice.
Stir in the fresh dill and serve.