Bring rice, its water and salt to a simmer in a deep 12-inch skillet. Cover tightly, reduce heat to low and cook for 17 to 19 minutes until water is absorbed and rice is tender. Remove from the heat and rest covered for 10 minutes.
Spread rice in a shallow layer on a large plate and refrigerate promptly for about 60 minutes until 40°F or colder; chilling is included in prep time. Wipe the empty skillet dry.
Heat 1 teaspoon neutral oil in the skillet over medium heat. Scramble eggs for 1 to 2 minutes until fully set, then transfer to a bowl.
Add 1 tablespoon neutral oil and raise heat to medium-high. Cook ground chicken, carrot and scallion whites for 7 to 8 minutes, breaking chicken into small crumbles, until it reaches 165°F. Stir in garlic and ginger for 30 seconds.
Add remaining neutral oil and cold rice, breaking up clumps with a spatula. Spread across the skillet and cook for 4 to 5 minutes, turning every minute, until the grains are hot and separate.
Add peas, soy sauce, oyster sauce and white pepper and stir-fry for 2 to 3 minutes until peas are hot. Fold in scrambled egg, scallion greens and sesame oil and cook for 1 minute until the rice mixture reaches 165°F throughout. Serve in 4 portions.