1. In a small saucepan, combine 2 cups of the water, the kosher salt, brown sugar, peppercorns, and bay leaves and bring to a boil over high heat, stirring to dissolve the salt and sugar. Pour into a large pot or other container and add the remaining 4 quarts cool water. Stir to mix well, add the pork chops, cover, and refrigerate overnight.
2. Drain the chops and pat dry with paper towels. Season the pork on both sides with salt and pepper, then dredge in the flour.
3. In a 12-inch sauté pan, heat the olive oil over high heat until smoking. Add 3 chops to the pan and cook until dark golden brown on the first side, about 7 minutes. Turn over and cook until browned on the second side, about 4 minutes, then transfer to a plate and repeat with the other 3 chops.
4. Add the peppers, onions, olives, red pepper flakes, and capers and stir with a wooden spoon to loosen the brown bits from the bottom of the pan. Add the wine and bring to a boil. Lower the heat, place the pork chops in the pepper mixture, and simmer for 10 minutes (the pork should be cooked to 135°F).
5. Season the sauce with salt and pepper to taste. Stir in the reserved onion tops, and serve.