Eldoug gives us a great description on how to do this on his YouTube channel:

1. Obtain car scratch remover polish like “Scratch X 2.0” or similar products found at auto parts stores. Novus polish can also work.

1. Apply a thin coating of the scratch remover polish all over the scratched area of the disc using a cotton ball. Enough to coat the entire disc surface.

1. Using the cotton ball, polish the scratched area by making small, concentric circular motions following the path of the circle scratch. Apply firm pressure.

1. Listen for a squeaking sound - this means the cotton is rubbing against the polycarbonate surface and you need to reapply more polish.

1. After polishing just the circle scratched area, do a general polish of the entire disc surface using larger circular motions and lighter pressure.

1. Wipe off the polish residue with a clean microfiber cloth. Inspect the disc to see if the scratches have been reduced.

1. Repeat steps 2-6 as needed, polishing the entire surface each time and applying more pressure on stubborn scratches. This may take 20-30 minutes of polishing.

1. For tough scratches, add a few drops of water to the disc surface when polishing to help break up the polish residue.

1. Once satisfactory, give the disc a final wipe down and try playing it in the system to test if it reads properly.

1. Be patient and repeat the polishing process as much as needed to eliminate scratches and get the discPlayStation working again.

The key is using a car polish, polishing the scratched areas with firm pressure, and polishing the entire surface multiple times until the scratches are reduced enough for the disc to read properly.