Warm a large pan (preferably a stainless steel pan with high, straight sides) over medium-high heat. Crumble the ground beef into the pan, sprinkle with just a little salt, and brown all the way through.
Line a plate with two paper towels and drain off the excess fat from the beef.
Return pan to stove and add the coconut milk and Thai red curry paste and stir well. Bring to a low simmer and cook for about 5-10 minutes or until most of the liquid has evaporated. (It will start to look a little greasy from the coconut milk as the water evaporates, but it's okay!)
Meanwhile, wash the zucchini and slice off the very ends. Using a julienne slicer (or a sharp knife, or one of the myriads of spiralizers on the market), slowly create noodles. Place the zucchini in your secondary hand and place the spikes of the julienne slicer towards the end of the zucchini. Using quick, controlled movements, pull the julienne peeler towards you while pressing down slightly to form noodles. (Think of it like peeling a carrot or potato towards you.) Continue until you get to the seedy insides of the zucchini. You can discard the insides, slice them and dip them in hummus, or chop them up and toss them in with the beef, or in just about any vegetable dish.
In a separate pan, warm about a teaspoon of oil over high heat and quickly sauté the zucchini noodles in batches. Divide among bowls and top with the beef and sauce.
Notes
See post for tips on softening / cooking zucchini noodles!