Prep and measure everything first (mise en place). Break the 4 eggs into a medium bowl, add a light pinch of salt and whisk until just combined. Whisking briefly incorporates air to make the eggs slightly fluffier but avoid over-whisking — you want the curds to form, not a frothy omelet.

Prepare the salmon and aromatics: stack and gently fold the smoked salmon slices and slice or tear into bite-sized ribbons. Chop the dill and have the capers rinsed and drained. Keeping these ready prevents overcooking the eggs while you assemble.

Toast the rye: heat a large nonstick or cast-iron skillet over medium heat and add 1 tablespoon of butter. Once melted and foaming, add the rye slices and toast 2–3 minutes per side until golden and slightly crisp. Toasting in butter gives the bread a nutty, caramelized edge and a lustrous surface that resists sogginess from the eggs.

Warm the skillet (for the eggs): wipe out the skillet (or use a separate nonstick pan) and return to low–medium-low heat. Add the remaining 1 tablespoon of butter and let it melt gently until the milk solids start to turn fragrant but not browned. Butter at a lower temperature provides even heat and a silky mouthfeel without scorching the eggs.

Cook the eggs slowly: pour the whisked eggs into the warm pan. Let them sit without stirring for 10–15 seconds to allow a thin custard layer to set on the bottom — this creates larger, creamier curds. Then, using a silicone spatula, sweep gently from the edges toward the center every 10–15 seconds. Stirring slowly and intermittently forms soft curds and prevents the eggs from tightening into rubbery texture.

Control the heat and finish off the eggs: as the eggs begin to thicken but are still glossy and slightly runny (about 2–3 minutes total), remove the pan from the heat. The residual heat will finish the cooking (carryover cooking), giving perfectly creamy eggs. Overcooking at high heat squeezes out moisture and yields dry curds — that’s why low-and-slow is essential.

Fold in salmon, dill and capers: immediately fold in half of the smoked salmon ribbons, the chopped dill, and the capers. Folding at the end preserves the salmon’s delicate texture and smoky flavor — heating it too long makes it chewy and can overpower the eggs. Taste and add freshly ground black pepper; add a little more salt only if needed (smoked salmon is already salty).

Plate with care: arrange the toasted rye on two plates. Spoon generous portions of the scrambled eggs over the toast, topping each with the remaining smoked salmon ribbons for an attractive ribboned look. Finish with another sprinkle of dill, a crack of black pepper and, if using, a light grate of lemon zest to lift the richness.

Serve immediately: scrambled eggs are best eaten right away while still silky. Provide lemon wedges on the side if you like an extra bright finish. Leftovers will lose the luxurious texture once cold.