Line a large baking sheet with parchment paper and set aside. Pour the lukewarm water in the bowl of an electric mixer. Add the honey, oil, dry active yeast, sea salt, and 1 cup all-purpose flour. Using a bread hook, mix the ingredients for 30 seconds. Then turn off the mixer and let the mixture sit and foam for 10 minutes. (If the water is too hot, it will kill the yeast and it won't foam.)
Turn the mixer on low and add the remaining all purpose flour and the whole wheat flour. Allow the mixer to "knead" the dough for at least 10 minutes to develop the gluten. Then cover the bowl with plastic wrap and allow it to rise until double in size, 60-90 minutes in a warm kitchen.
Once the dough has doubled, preheat the oven to 425 degrees F. Punch the dough down and cut it into four equal pieces. Roll each piece into a tight ball and place them on the baking sheet 3-4 inches part. Make sure any creases are on the bottom, against the baking sheet. Allow the dough to rise another 30 minutes.
Whisk one egg, then thoroughly brush the dough balls with egg. Brush all the way down to the parchment. Then sprinkle the tops with salt flakes and carefully score an X on the top of each ball.
Bake for 25-30 minutes, until the crust is a deep brown. Cool completely. When ready to fill with soup, use a serrated knife to cut a deep core out of the center. Use your hand to rip out addition space in the bread bowls, then fill with creamy soup and enjoy!