The supreme court is the ultimate court of appeals in the United States - once you lose there, your only remedy is to change the law, or in some cases, change the constitution.

Since the supreme court interprets the law, the way you to change the ruling is to change the law. In a few recent cases, the supreme court has basically said (paraphrasing) "we don't like this ruling, but this is what the law says. If you want to fix it, talk to Congress, not us."

There have been some very notable instances where the Supreme Court has changed its mind or modified its prior rulings (for instance around civil rights), so while its the end of the road for this petitioner, it doesn't bar the law evolving in the future.