Finely grate the ginger and measure the turmeric, cinnamon, and black pepper.
In a small saucepan, combine the milk, turmeric, cinnamon, grated ginger, and black pepper. Whisk to disperse the spices.
Warm over medium-low heat until steaming, then reduce to a gentle simmer. Simmer 5–7 minutes, whisking occasionally, until the milk turns deep golden and smells aromatic; do not let it boil vigorously.
Remove from heat and let stand 2–3 minutes to settle and infuse.
Strain through a fine-mesh sieve into two mugs to remove the ginger and any spice sediment.
Stir in the honey until dissolved. Taste and adjust sweetness if desired. Serve hot.