Sriracha is a type of hot sauce available in Asian food markets. It is made from a paste of chili peppers, distilled vinegar, garlic, sugar, and salt. It is named after the coastal city of Si Racha, in the in the Chonburi Province of Eastern Thailand, where it was possibly first produced for dishes served at local seafood restaurants. From wikipedia.org
To shape the ramen into a bun, use ramekins that are similar in size to the burger patty. If you don't have ramekins, substitute pint-size deli containers.
1 package ramen noodles
2 tablespoons neutral oil, such as canola or grapeseed
1 tablespoon ketchup
1/2 tablespoon sriracha
1 beef burger patty
1 slice American cheese
1 scallion, thinly sliced on the bias
1/2 cup arugula
Cook the ramen according to the directions on the package (including the seasoning), then drain off the liquid. Let cool to room temperature. In a small mixing bowl, whisk 1 egg until no streaks of yolk remain. Add the ramen, tossing thoroughly to coat with the egg. Divide the egg-dressed ramen into two portions, and place each half into a ramekin.
Cover the ramen with plastic wrap, and weigh it down with a can of soup to compress it into a bun shape. Refrigerate for at least 15 minutes.
Add the oil to a skillet, and set over medium-high heat. Once the oil begins to shimmer, unmold the ramen buns into the pan, and cook until the bottom is a dark golden brown. Flip both of the patties, and cook until a dark golden brown on both sides.
Whisk together the sriracha and ketchup in a small bowl.
Season the hamburger patty with salt, pepper, a splash of soy sauce, and sesame oil. Wipe out the skillet, and cook the burger over medium-high heat until medium rare, or to your preferred degree of doneness. Finish with a splash of soy sauce and sesame oil. Top with a slice of cheese.
Assemble the burger in this order: ramen bun, arugula, ketchup, burger patty (cheese side up), scallions, and the second ramen bun. Wrap in wax paper for easier eating, and serve hot.