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1
Place all pork trotters, knuckles, vertebrae, and chicken bones in a large pot. Cover with cold water. Bring to a full boil over high heat and boil hard for 10 minutes. Drain entirely and discard this blanching liquid. Rinse the bones under cold running water, removing any dark matter or blood. The bones should be visibly clean and pale before the long boil begins. Done when the rinse water runs clear.
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2
Return the cleaned bones to the pot. Cover with 4 litres of fresh cold water. Bring to a vigorous rolling boil over the highest heat available and maintain it there for the entirety of the cook — 12 to 18 hours, adding boiling water as needed to keep the bones submerged. Skim diligently during the first hour to catch residual impurities, then allow the full rolling boil to proceed uninterrupted. This is the step on which the dish lives or dies: it is the sustained, aggressive agitation of the boil — not a gentle simmer — that forces fat and collagen into emulsion and drives the liquid from pale and translucent to opaque, creamy white. A reduced flame at any point produces a clear stock, not tonkotsu. The broth is ready when it is fully opaque, white, and coats the back of a spoon with a light, creamy body.
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3
Strain the finished broth through a fine-mesh strainer, discarding bones. The yield should be approximately 2 litres of dense, opaque broth. Combine soy sauce, mirin, and oyster sauce in a small pan over low heat; stir briefly to integrate. This is the tare. Set aside. The tare is done when the mixture is uniform in colour and glossy.
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4
Braise the rolled pork belly gently in a small amount of the tare diluted with water until the belly is fully tender and a skewer passes through without resistance. Slice into rounds approximately 1 cm thick. Marinate soft-boiled eggs (whites just set, yolk jammy) in the remaining tare diluted with water until the exterior is amber. Both items may rest in their marinade until service. Eggs are done when the shell-less surface is uniformly coloured.
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5
At service, bring the broth to a vigorous boil in a separate pot. Season each bowl with a measure of tare (approximately 30 ml per portion) then ladle in 400–450 ml of hot broth per bowl. Stir to combine. The bowl should smell immediately of deep bone marrow and soy.
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6
Cook the Hakata noodles in a separate pot of rapidly boiling unsalted water for the shortest time the noodle specifies — kata, firm. These thin noodles continue to cook in the hot broth; they must arrive in the bowl with resistance remaining. Lift immediately, shake off excess water, and place in the broth. Done when the noodles are al dente and still springy to a gentle pull.
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7
Lay two to three slices of chashu across the noodles. Add a halved ajitsuke tamago, a portion of menma, a sheet of nori at the bowl's edge, and a mound of benishoga pickled red ginger. The ginger is not decoration: its acidity is the functional counterpoint to the intense fat richness of the broth. Serve immediately. The completed bowl should present as opaque white broth, the nori beginning to soften at its submerged edge, and the ginger vivid against the white.