3:9 `Behold, I will cause those of the synagogue of Satan, who say that they are Jews, and are not, but lie -- behold, I will make them to come and bow down at your feet, and to know that I have loved you.
(continuing from previous verse)
The accusation here is of lying about the authenticity of the Messiah (synagogue of Satan is the symbolic counterpart). Refresh yourself in Revelation 2:9 where the Smyrna church had outright blasphemy. The Philadelphia church had its Jewish subverters too; only they were more subtle.
to come and bow down at your feet and
This is not a reference that unbelievers will reverence believers. That kind of bowing down is reserved for Christ ONLY (Philippians 2:9-11). This reference is more like Joseph in Egypt where his brothers eventually fall down before him (not knowing who Joseph was) and beg for food (Genesis 44:14-17). The subtle Jews causing subversion will come and bow down at the feet of the true believers. It is a form of repentance.
to know that I have LOVED you.
It was this LOVE that caused Jesus to lay down His life for us (John 15:6-13). Am I able to lay down my life for my friends? If I find it difficult to worship God regularly, to study His Word daily, and to "pray ceaselessly", how will I find the spiritual strength to show this "greater LOVE"?