You have any number of other nonland permanents that enter the battlefield untapped, and that can collectively tap to produce enough mana to cast Momentary Blink exiled by Abdel Adrian.
Ardent Elementalist exiled by Abdel Adrian.
You have enough mana to cast Momentary Blink.
Steps
Cast Momentary Blink by paying its mana cost, blinking Abdel Adrian.
Abdel Adrian leaves the battlefield, returning Ardent Elementalist and all other cards that were exiled with it to the battlefield.
Abdel Adrian and Ardent Elementalist trigger.
Resolve the Ardent Elementalist trigger, returning Momentary Blink from your graveyard to your hand.
Holding priority, activate any number of nonland permanents you control by tapping them, adding at least enough mana to cast Momentary Blink.
Resolve the Abdel Adrian trigger, exiling Ardent Elementalist and the mana-producing permanents until Abdel Adrian leaves the battlefield, and creating a 1/1 Soldier creature token for each permanent exiled this way.
Repeat.
Results
Infinite LTB.
Infinite ETB.
Infinite storm count.
Infinite creature tokens.
Infinite blinking of nonland permanents you control.