Probably not. While Kira (Light Yagami) is incredibly intelligent and manipulative, and the Death Note is a powerful weapon, Goku's sheer power, speed, and spiritual awareness make him exceptionally difficult, if not impossible, for Kira to defeat.
Here's a breakdown of why:
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Speed and Awareness: Goku operates at speeds far exceeding human perception. Even if Kira knew Goku's real name, it's highly unlikely he could write it in the Death Note before Goku reacted. Goku also possesses ki sense, which allows him to detect danger and the intent of others. He would likely sense the impending threat from the Death Note and react accordingly.
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Durability and Power: Even if Kira somehow managed to write Goku's name, it's questionable whether the Death Note would work on someone with such immense power and potentially godlike status. The rules of the Death Note primarily target humans, and Goku's Saiyan physiology is far beyond that.
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Intelligence vs. Power: While Kira is incredibly intelligent, Goku's strength isn't just physical. He has battle instincts honed over decades of fighting incredibly powerful opponents. The referenced short answer notes, "it's brawn over brain" which holds true in this scenario. Goku's raw power vastly outweighs Kira's intellect and planning abilities in a direct confrontation.
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The Nature of the Death Note: The Death Note requires the user to know the target's real name and face. Discovering Goku's true Saiyan name might be challenging, and even if he did, simply writing the name might not be enough to bypass Goku's extraordinary resilience.
In summary, while Kira is a formidable opponent in his own universe, Goku's overwhelming power, speed, and durability make him virtually immune to the Death Note's effects. It's a case where raw power trumps strategic intelligence.
