As a subject matter expert in Marvel Comics and the Marvel Cinematic Universe (MCU), I can provide an insightful answer to your question regarding Captain America's ability to wield Thor's hammer.
In the comics and the MCU, there are specific conditions that must be met for an individual to be worthy to lift Mjolnir, Thor's hammer. The worthiness requirement is a magical enchantment placed by Odin, which states that only those who are deemed worthy can lift and use the hammer.
In the MCU, particularly in the movie "Avengers: Age of Ultron," it is revealed that Captain America is able to slightly move Mjolnir when he tries to lift it, indicating that he is indeed worthy. However, he does not fully lift it at that time, possibly out of respect for Thor's feelings or because he was not fully aware of his own worthiness.
It is not until the movie "Avengers: Endgame" that Captain America fully embraces his worthiness and lifts Mjolnir in battle, using it effectively against Thanos. This moment confirms that Captain America is indeed capable of carrying and using Thor's hammer when he chooses to.
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