Chop the vegetables finely. Sauté in butter or olive oil until soft, then add the ground beef. Sauté on high heat until everything has turned a nice color. Add the remaining ingredients, stir and let simmer on medium-high for 15 minutes.
Lower the heat some more. Add water if the sauce is getting too thick. Let simmer for 20 minutes or more. The longer the sauce is allowed to simmer, the better the flavor.
In the meantime, make the noodles. Use a spiralizer, mandolin, or peeler to make long, thin strips of zucchini.
Heat a frying pan and toss them around quickly in butter or olive oil. A minute is enough to keep them from going too soft.
Taste the sauce and add more salt and pepper if needed.
Serve the noodles warm with the hot sauce on top. Finish with a good grating of Parmesan cheese.