Bring a small saucepan of water to a boil over high heat. Add lemon peels and boil for 1 minute, then drain.
Repeat process twice with a pan of fresh boiling water each time. Pat peels dry with paper towels.
Set a large stainless-steel bowl securely on top of an overturned Styrofoam container (to protect the work surface). Put on thermal-insulated gloves and goggles. Fill the bowl halfway with liquid nitrogen and add peels. Keep immersed for 10 seconds or until frozen.
Using a metal slotted spoon, transfer peels to a Thermomix and grind at speed 9 for 15 seconds to coarsely chop. (Do not grind to a powder.)
Transfer chopped peels to a saucepan and add strained lemon juice, sugar, and salt. Simmer over medium-low heat for 30 minutes or until reduced by half. Store mixture in an airtight container in the refrigerator. (It will turn syrupy.)