One, welcome. Your proposed set of Axioms should give you excellent sound and the 5003 certainly wouldn't be a problem. There's no need to be concerned with how speakers and amplifiers "interact" or with "pairing" them. As Ken pointed out, the speakers need power, the amplifier gives it to them; that's all there is, there ain't no more, despite the audiophile fantasies that we frequently read about.

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Enjoy the music, not the equipment.