Bring a large pot of water to a boil and cook the whole wheat spaghetti according to package directions until al dente.
In a small bowl, whisk together the large egg, egg whites, grated parmesan cheese, and black pepper until well combined.
While the pasta cooks, heat a large non-stick skillet over medium heat and sauté the diced pancetta until it becomes golden and crispy.
Add the minced garlic and green peas to the skillet, sautéing for 1-2 minutes until the garlic is fragrant and the peas are bright green.
Reserve 0.25 cup of the pasta cooking water, then drain the spaghetti and add it directly to the skillet with the pancetta and peas.
Remove the skillet from the heat immediately to ensure the egg mixture creates a sauce rather than scrambling.
Pour the egg and cheese mixture over the pasta, tossing quickly and continuously while adding a splash of the reserved pasta water until a silky, creamy sauce forms.
Season with sea salt and serve immediately while the sauce is warm and glossy.