Fill a medium saucepan with water and add the white vinegar; bring to a gentle simmer over medium heat.
Crack each egg into a small ramekin, then carefully slide them into the simmering water and poach for 3 minutes until whites are set but yolks remain runny.
While eggs poach, toast the split English muffin halves until golden brown and crisp.
Heat a small non-stick skillet over medium-high heat and sear the Canadian bacon slices for 1-2 minutes per side until warmed through and slightly browned.
In a small bowl, whisk together the Greek yogurt, Dijon mustard, lemon juice, turmeric, sea salt, and black pepper until smooth.
Gently warm the yogurt mixture in a small pan over very low heat for 1 minute, whisking constantly to ensure it stays creamy and does not curdle.
Place two slices of Canadian bacon on each toasted muffin half, top each with a poached egg, and generously drizzle with the velvety yogurt hollandaise.
Garnish with freshly chopped chives and serve immediately.