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1
Place the whole chicken in a large stockpot and cover generously with cold water. Bring slowly to a bare simmer over medium heat. As the liquid heats, grey foam will rise to the surface; skim it obsessively and continuously until no further foam appears. Add the onion halves, celery, carrot, parsnip, and dill. Reduce the heat so the liquid barely moves and simmer, uncovered, for at least three hours. The broth is ready when it is clear and golden, and pools of rendered chicken fat float visibly on the surface — this golden fat is the visual and flavour proof of a properly made broth.
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2
Strain the broth through a fine sieve into a clean pot; discard the spent vegetables. Reserve the chicken separately — it is the subsequent course. Season the broth with salt and set aside. It should smell, undiluted, of safety.
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3
In a bowl, whisk together the egg yolks and cooled schmaltz until combined. Add the matzo meal, salt, white pepper, and nutmeg and stir to a rough, uniform mass. In a separate, clean bowl, beat the egg whites to soft peaks — they should hold a gentle wave that just folds back on itself when the whisk is lifted. Fold the beaten whites into the matzo meal mixture in two additions, working with the lightest possible hand until no white streaks remain. This is where the dish lives or dies: the air folded into the whites is the sole engine of lift; any compressing or vigorous stirring at this stage destroys it irreversibly.
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4
Cover the batter and refrigerate for 30 minutes. The mixture will firm as the schmaltz chills and the matzo meal hydrates fully. The batter is ready when it holds a loose shape without slumping.
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5
Bring a wide, deep pot of well-salted water — not the precious broth — to a gentle simmer. Wet both hands thoroughly. Scoop a portion of batter roughly the size of a walnut and roll it between wet palms with the absolute minimum pressure required to form a sphere; the ball must feel soft, yielding, and slightly tacky, not compacted. Lower each ball into the simmering water as it is formed. Cover the pot and maintain a steady, gentle simmer — never a rolling boil — for 25 to 30 minutes. The matzo balls are done when they have approximately doubled in size and a skewer inserted into the centre meets no gummy resistance.
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6
Gently reheat the strained broth. Using a slotted spoon, transfer the cooked matzo balls directly into the hot broth; do not cook them in the broth itself or the liquid will turn cloudy and starchy. Ladle one or two matzo balls per bowl, fill with the golden broth, and finish with picked dill fronds. The matzo ball should float.