Peel and cube the potatoes, cover with cold salted water and bring to a boil over high heat. Simmer over medium heat until soft, about 15 minutes. Drain and mash with the lactose-free milk, butter and half the salt.
Slice the carrots into rounds, put them in a skillet with 120 ml (1/2 cup) of water and a pinch of salt and simmer over medium heat until tender and the water has evaporated, about 8 minutes. Add the maple syrup and toss for 2 minutes to glaze.
Pat the chops dry and season with the thyme, the rest of the salt and the pepper.
Heat the garlic-infused oil in a large skillet over medium-high heat until shimmering.
Sear the chops for about 4 minutes per side, until golden and 63°C (145°F) in the centre.
Rest the chops for 3 minutes, then serve with the mash and maple carrots.