The day before, put the chickpeas in plenty of water and soak them overnight. Drain the chickpeas, rinse well and bring to the boil covered with fresh water, cook for 45-60 minutes until soft.
Wash, peel and coarsely grate the beetroot (Caution: wear disposable gloves - it stains strongly!). Peel and chop the onion. Heat 1 tablespoon of oil in a pan. Fry the onion in it until transparent. Add breadcrumbs, 1 tsp. cumin and cayenne pepper each and fry for another 2 minutes.
Drain the chickpeas and let them steam. 2⁄3 Coarsely puree beetroot, chick peas and onion-spice mixture (best done in a blender). Pour the mixture into a bowl. Add egg yolk, the rest grated beetroot and tahini. Mix everything well, season with salt and pepper. Form into 12 medium-sized falafels (approx. 6 cm Ø) and put aside.
Mix yoghurt with 1 tablespoon of oil, season with salt and pepper. Sort the arugula, wash and drain well. Mix vinegar, honey, some salt and pepper. Fold in 2 tablespoons of olive oil. Mix the rocket with the vinaigrette. Heat 2 tablespoons of oil in a frying pan. Fry the falafels in it until crispy-brown, while turning. Serve the falafels with yoghurt and salad.