The church in Philadelphia is the love faculty, or the assembly of love thoughts in consciousness that make up the love faculty. He who has the "key of David" (Rev. 3:7) is the I AM. This I AM in its highest aspect is Christ; it has more or less of the personal element in those who are not fully lifted into the Christ consciousness. If the I AM love thoughts (or assembly) are dominated by selfishness they become "the synagogue of Satan" (Rev. 3:9). In the same text the statement, "them that say they are Jews, and they are not," means the selfish dominance of love that thinks itself to be the real thing, but that is not.
Lack of love causes the "trial" that is coming upon the inhabited earth (Rev. 3:10). From the synagogue of Satan come strife, hatred, and warring thoughts. Out of the heart proceed evil thoughts. Love will harmonize the warring conditions in our own consciousness and in all the earth. Harmony through love begins in the individual.
The "name of my God" (Rev. 3:12) is love. "The name of the city of my God, the new Jerusalem, which cometh down out of heaven from my God," is peace, the consciousness of peace, which comes about through love--I AM peace.