Bring a large pot of water to a boil, add the sea salt, and cook the whole wheat spaghetti until al dente according to package directions.
While the pasta cooks, whisk the whole eggs, liquid egg whites, and grated Parmesan cheese together in a small bowl until well combined.
In a large skillet over medium heat, sauté the diced pancetta until the fat has rendered and the edges are crispy.
Add the minced garlic and frozen peas to the skillet, sautéing for 2 minutes until the garlic is fragrant and the peas are heated through.
Reserve 0.25 cup of the starchy 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 entirely to ensure the eggs do not scramble upon contact.
Pour the egg and cheese mixture over the pasta, adding the reserved pasta water and black pepper.
Toss the pasta vigorously for 1-2 minutes until the residual heat transforms the egg mixture into a creamy, thickened sauce that coats every strand.