What does Revelation 3:9 mean?
This is the second time in the letters to the seven churches that the "synagogue of Satan" is mentioned, and the fourth time Satan is referenced (Revelation 2:9; 2:13; 2:24). Apparently, the Jews of Philadelphia, like those of Smyrna, made life hard for the believers in Philadelphia. This is not a blanket reference to all of Judaism, nor all of the Jewish people. Rather, Jesus is indicting a specific group in a specific area. In fact, Jesus said these offenders were Jews in name only. He called them liars. They actually belonged to Satan and served Him.Perhaps the aggressors tried to force the Christians to be circumcised and to put themselves under the law of Moses, just as Judaizers tried to persuade the churches of Galatia to accept circumcision and submit to the law of Moses (Galatians 1:6–7; 3:1–6). But the Christians at Philadelphia resisted the Judaizers' efforts.
Jesus promised to compel the false Jews to acknowledge the believers' valid faith in Jesus and recognize that Jesus loves the believers. This is most likely a reference to the ultimate victory of good over evil: the day when all false teachers will have to bow to Jesus and confess that He is Lord (Philippians 2:19–11). Christians will witness that triumphant event (Revelation 20:12–15).