Cut a small square of clean microfiber cloth. About three square inches should be enough.
Separate one egg white into a small saucepan. Measure 1 tsp. of alum (a mixture of aluminum sulfate and potassium sulfate) and add to the egg white. Dissolve the alum in the egg white over low heat. Make sure the temperature does not exceed 150 degrees Fahrenheit.
Place your square of microfiber cloth into the 150-degree egg mixture and let it soak until it is saturated with the mixture.
Lay the wet cloth on an aluminum-lined baking sheet and place in a 300-degree Fahrenheit oven until the cloth dries.
Rinse the dry cloth in cold running water for about 30 seconds. Repeat steps 3 to 5 three times. Let the cloth air dry at room temperature for 48 hours.
Wipe your scratched CD in small circular motions with the dry microfiber cloth until scratches disappear.