Cut each tomato half into thirds. In a medium bowl, toss the tomatoes with 1 tablespoon of the vinegar and ½ teaspoon white pepper. In a small bowl, combine the remaining 3 tablespoons vinegar, the water, ketchup, ginger, garlic, pepper flakes, sesame oil, 2 teaspoons of the soy sauce and ½ teaspoon white pepper. Set aside. In a second medium bowl, whisk the eggs, remaining 1 teaspoon soy sauce and ½ teaspoon white pepper.