Fill a medium saucepan with water and the white vinegar, bringing it to a gentle simmer over medium-low heat.
Toast the whole wheat English muffin half until golden brown and place it on a serving plate.
Sear the Canadian bacon in a small skillet over medium heat for approximately 2 minutes per side until lightly browned and warmed through.
In a small heat-proof glass bowl, whisk the single egg yolk and lemon juice together until the mixture is slightly thickened.
Slowly drizzle the melted ghee into the yolk mixture while whisking vigorously to create a smooth, creamy emulsion.
Stir the sea salt and cayenne pepper into the hollandaise sauce and set the bowl in a warm spot near the stove to maintain its consistency.
Crack the remaining two eggs into individual small ramekins and gently slide them into the simmering vinegar water.
Poach the eggs for 3 to 4 minutes until the whites are fully opaque and set, but the yolks remain liquid.
Layer the seared Canadian bacon onto the toasted muffin half, top with the poached eggs, and generously pour the hollandaise over the top.
Garnish the dish with black pepper and serve immediately while the sauce is warm and velvety.