In a small heat-proof bowl, whisk together the Greek yogurt, one egg yolk, Dijon mustard, lemon juice, and ground turmeric until completely smooth.
Place the bowl over a small pot of simmering water, ensuring the bottom of the bowl does not touch the water, and whisk constantly for 3-5 minutes until the sauce is warm and thickened.
Season the golden sauce with a pinch of sea salt and black pepper, then remove from the heat and cover to keep warm.
Bring a medium pot of water to a very gentle simmer, stir in the white vinegar, and use a spoon to create a slow-moving whirlpool.
Carefully crack the two remaining eggs into the center of the whirlpool and poach for 3 minutes until the whites are set but the yolks remain liquid.
While the eggs poach, toast the split English muffin halves until golden and lightly sear the Canadian bacon in a dry skillet over medium-high heat for 1 minute per side.
Place two slices of Canadian bacon on each toasted muffin half, top with a poached egg, and ladle the creamy golden hollandaise over the top.
Garnish with the remaining sea salt, black pepper, and finely chopped fresh chives before serving immediately.