Wash rice while bringing water up to a boil. Add rice and sea salt to boiling water; reduce heat to low, cover, and cook until all liquid is gone, 45 minutes. Do not stir.

Cut eggplants into 3/4-inch cubes. Heat a large skillet on medium heat and add sesame oil and eggplant; toss to coat. Cook until well sealed and brown, about 20 minutes. In a bowl, mix tamari, rice vinegar, mirin, water, garlic, and ginger juice. When eggplant is very well cooked, stir in tamari mixture. Cover skillet and cook until liquid is mostly absorbed and eggplant is as smooth as butter, about 20 minutes.

To make sauce: Pulse almonds in a blender until they turn to meal. Add water and blend on high for 2 minutes. (If you prefer a smooth sauce, press mixture through a strainer, removing about 3/4cup of fiber.) Add miso and blend for 1 minute. Pour into a small saucepan and heat quickly, then reduce heat to low and cook for about 10 minutes. Add black pepper while heating.

Serve rice, eggplant, and almond sauce layered or separately.