In a small saucepan, warm the olive oil with the rosemary sprigs over low heat for 5-10 minutes. Allow the rosemary to infuse into the oil, then remove and set aside.
Season the pork chops with salt, pepper, and a hint of rosemary if desired.
In a skillet, heat olive oil over medium heat and cook the pork chops for 4-5 minutes per side, or until they reach an internal temperature of 145°F (63°C). Remove from heat and let rest before slicing into appropriate sizes for texture modification.
In the same skillet, add a touch of rosemary oil and the minced garlic. Sauté for 1-2 minutes until fragrant.
Add the white beans and broth, cooking until warmed. Mash lightly with a fork for a creamier texture. Season with salt and pepper to taste.
In a small bowl, combine finely chopped walnuts with a drizzle of rosemary oil and a pinch of salt. Toast in a dry skillet for a minute or two for a richer flavor, if desired.