He could be on a quest to discover the truth about his grandfather. Madara had a very complex and often misunderstood history. His grandson might dig into old records and talk to the elders who knew Madara. This journey could lead him to uncover secrets that change his view of his family and the Uchiha clan as a whole.
In fanfiction, the author could create a scenario where there was a secret relationship between an Uzumaki ancestor of Naruto and an Uchiha. This relationship could have been hidden for generations. And through some family secrets being revealed, it's discovered that Naruto is actually Madara's grandson. It could also involve some kind of genetic manipulation or curse that ties the two families together in a way that wasn't known before.
In a fanfiction, Madara Uchiha's grandson could have unique powers. Since the Uchiha are known for their Sharingan, perhaps he has an evolved form of it. He could use this power to protect the Hidden Leaf Village, or maybe he gets caught up in a conflict between different ninja clans who either want to use his power or are afraid of it.
In some fanfictions, it might be possible for Naruto to be portrayed as Madara Uchiha's grandson. Fanfiction often takes creative liberties and twists established relationships. However, in the original Naruto storyline, there is no such relation.
In most Naruto fanfiction, anything can be possible. However, in the original Naruto series, Naruto has no relation to Uchiha Madara in this way. But in some creative fanfictions, the author might create a complex backstory to make Naruto be Madara's grandson. Maybe they rewrite the history, or use some magic - like elements to connect them.
One way the story could develop is that Naruto would have an innate understanding of powerful Uchiha techniques. Since Madara was a master of the Sharingan and had many powerful jutsu. Naruto might be able to quickly master the Sharingan if he inherits it. For example, he could use it to enhance his combat abilities against stronger enemies. He could also have a different relationship with Sasuke. Maybe instead of being rivals, they could be more like cousins with a shared heritage to explore.
One implication could be a shift in Naruto's power source. Since Madara was extremely powerful, Naruto might inherit some of that raw power. Also, it could change his relationship with Sasuke, as Sasuke is an Uchiha. There might be more internal clan - related drama.
Perhaps the grandson is on a mission to redeem his family name. He discovers a hidden power that Madara had but never fully utilized. This power could be related to the Sharingan or some other Uchiha ability. He then has to learn how to control this power while also facing off against enemies who want to use him or stop him. Along the journey, he forms a team of unlikely allies who help him in his quest, and they all grow together as they face various challenges.
One possible way the storyline could develop is that Naruto would inherit some of Madara's powerful Uchiha abilities, like the Sharingan or even the Rinnegan. This would completely change his power dynamics in the ninja world. He might also face different challenges and enemies, as there could be those who fear his newfound power or connection to Madara.
One possible plot could be that Naruto discovers his true heritage as Madara's grandson gradually. This revelation shakes his world as he has to come to terms with being related to a once - feared enemy.
One possible plot could be Percy using his Uchiha heritage to gain new powers. For example, he might unlock the Sharingan which could enhance his battle perception in the demigod world. He could then use this newfound ability against his enemies, like the Titans or monsters. This would create a whole new dynamic in the Percy Jackson universe as he combines his demigod skills with Uchiha powers.