The Roast Beef Sandwich

Name: The Roast Beef Sandwich
Ingredients: 1 tablespoon canola oil; 1 baguette roll; 5 ounces rare deli roast beef; 2 slices Cheddar; 4 ounces au jus or beef stock; 2 tablespoons Horseradish Creme Fraiche, recipe follows; 2 tablespoons sweet onion jam; 1 cup baby arugula; 1 teaspoon Apple Cider Gastrique, recipe follows; Salt and pepper; 1 cup creme fraiche or sour cream; 2 tablespoons prepared horseradish; 1 teaspoon Worcestershire sauce; 1/2 teaspoon garlic powder; 1/4 teaspoon onion powder; Dash hot sauce; Pinch each salt and pepper; 2 cups apple cider; 2 cups apple cider vinegar; 1/2 cup white sugar; Peels and cores of 3 apples; 1/2 teaspoon xanthan gum or apple pectin