What happens if the supreme court refuses to hear a case on appeal from the lower courts

If the Supreme court refuses to hear a case on appeal from the lower courts, then the ruling of the lower court stands. Most of the cases that the supreme court hears are related to constitutional issues or federal laws. There are more than 7000 cases that come up for hearing in the Supreme Court and many get rejected.

Ithink i know of the assessment that you're taking, and the answer is "freedom to meet peacefully."