In Europe, it's called Bioponics:
You take organic inputs, introduce enzymatic bacteria, and keep it at a usable level and pH for plants. It can use fish or can be inputs that are introduced.
I mixed kelp, alfalfa, neem and insect frass in equal volume. I added azomite and gypsum in 1/5 of the total volume. I used 1/4 c. of the mix to a gallon of water in a vortex brewer. For bacteria, you can use fish bacteria that is already nitrogen cycling. If you want it broken down quickly, you can introduce Bio-Kleen or Rid-X septic system bacteria. It is brewed for 24 hours and dilluted to 500 ppm for a usable nutrient solution.
Just make sure you don't go over 150 ppm Nitrogen. If you don't have a way to test your organic hydroponic solution, reduce nitrogen (green) inputs or dillute the total solution to a lower EC. It is easy to spot with leaves exhibiting clawed leaves or dark jungle green leaves.
It is easy and effective when you find a recipe that works for you.