Source: HowToCook (a programmer's guide)
Crack the eggs into a bowl with the salt and whisk until completely homogeneous — about thirty seconds. The salt dissolves into the egg proteins and begins denaturing them before they hit heat, which is what gives American scrambled eggs their creamy, custard-like structure rather than the dry, broken curds you get from unsalted eggs. Add the milk now. Do not let the mixture stand; that foamy stage teaches nothing useful here.
Place the butter in a non-stick or well-seasoned cast-iron pan over medium-low heat. The moment it's melted and foaming — roughly thirty seconds — pour in the egg mixture. This is the critical move: gentle-heating is the entire point. The curds should form slowly, which means you're fighting the instinct to use real heat. Stir constantly with a rubber spatula, scraping the set egg from the base and sides back into the liquid centre. You're not breaking anything into fine pieces yet; you're pulling the cooked outer layer away from the hot pan surface to let fresh egg underneath set gradually.
Watch for the eggs to thicken into loosely bound curds that still move like custard when you tilt the pan — roughly three to four minutes depending on your stove. The surface should look wet but not soupy. This is the moment to kill the heat. The residual temperature in the pan will continue cooking the eggs for another fifteen to twenty seconds. Most people yank the pan off too late and end up with rubbery scrambled eggs; most "creamy" recipes are actually just rescuing eggs that got cooked past the point of no return by adding liquid at the end.
Immediately transfer the eggs to your plate. Do not stir in milk after cooking — that's a correction technique for overcooked eggs, not a finishing move for properly executed texture-control. The carryover heat will set the eggs to the right consistency as they rest on the plate. Season with more salt if needed. Eat within a minute; scrambled eggs firm up as they cool.
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