His relationship with Sasuke would be very different. In the new dimension, Sasuke might not have the same vendetta against his brother. So Naruto wouldn't have to worry about Sasuke going off the rails. With Sakura, she could be a powerful ninja in a different way, like she might be more focused on medical ninjutsu and Naruto would see her in a new light. And his relationship with Kakashi could change too. Maybe Kakashi is a strict military - like leader in the other dimension instead of a laid - back teacher.
Naruto's relationships would change significantly. In the new dimension, he may find that his friends are now his enemies or vice versa. His friendship with Kiba, for example. Kiba could be part of a group that is against Naruto's arrival in the new dimension. On the other hand, Naruto might meet a new character who becomes his closest ally, someone who understands his situation of being from another dimension. His relationship with the Hokage in the new dimension would be complex. If the Hokage is more power - hungry, Naruto would have to oppose him, which is different from his relationship with the Hokage in his own dimension.
If Naruto travels to another dimension, his relationship with his friends would be transformed. For instance, his bond with Shikamaru. In the new dimension, Shikamaru could be a lazy king instead of a lazy ninja. Naruto would have to adjust to this new Shikamaru and their relationship would be based on different dynamics. His relationship with Hinata might also change. Hinata could be a confident and outgoing ninja in this dimension, and Naruto would be attracted to her in a different way than in his own dimension. Also, Naruto's relationship with the village elders would be different. They might see him as a threat instead of a hero in this new dimension.
Well, it can strain relationships. For instance, if an Avenger from one dimension sees how their counterpart in another dimension has made different choices, it might cause jealousy or resentment. Maybe Captain America from one dimension sees a more successful version of himself in another and starts to doubt his own actions.
Well, Naruto's relationship with the villagers would be quite different. Instead of being the outcast he was as a child, he could use his knowledge of the future to show his worth early on. This might lead to more positive interactions with the villagers. And his relationship with his friends like Shikamaru and Choji could also be enhanced as he could introduce more interesting things to them at an earlier stage.
One possible plot twist could be that in the other dimension, Naruto finds out that all his friends have different personalities. For example, Sasuke could be a peaceful scholar instead of a brooding avenger. Another twist might be that the chakra system works completely differently in this new dimension. Maybe instead of using hand signs, they use some kind of mental power to perform jutsus. Also, Naruto could discover that the Akatsuki in this dimension are actually the good guys, fighting against an evil ninja clan that wants to take over the world.
If Merlin travels back in time, his relationship with Arthur would be very different. In the past, Arthur might not trust him at all at first. Merlin would have to prove himself all over again. With Gwen, he might be more aware of her future importance and try to protect her in a different way. And his relationship with the other knights could be completely new, as they might see him as a stranger with strange powers.
His relationship with the Hokage, like Tsunade, would be very different. Naruto would know things about the future of the village that Tsunade doesn't. He could offer advice on how to deal with upcoming threats, which would make Tsunade see him in a new light. She might not just view him as the hyperactive ninja - to - be but as a valuable asset to the village. And with his friends like Shikamaru and Choji, Naruto could be more of a leader. He could use his time - traveling knowledge to plan better for future missions and make them more successful, which would strengthen their bond and respect for him.
Naruto's character develops in many ways. Firstly, he becomes more adaptable as he faces different situations in each dimension. He has to quickly figure out the rules and powers in each new place. Secondly, his understanding of power grows. In some dimensions, his Rinnegan - based abilities might be limited, so he has to rely on his wits and other skills, which makes him more well - rounded. Thirdly, his sense of empathy deepens. Meeting different beings in various dimensions, some of whom might be suffering, makes him more determined to protect and help those in need, just like he does in his own world.
He might face different types of chakra and powers that he's not used to. In a new dimension, the laws of nature regarding ninjutsu could be completely different. For example, his Shadow Clone Jutsu might not work as effectively if the chakra in that dimension behaves in an unexpected way. Also, he could encounter new and strange creatures that have abilities he has never seen before, making it difficult for him to fight or even communicate with them.
His relationship with Sasuke would likely become more of a partnership. As Hokage, Naruto would need Sasuke's skills and knowledge to protect the village. They would probably have regular meetings to discuss security and other important matters.
If Ianto travels back in time, his relationships with the Torchwood team in his original time would be put on hold. They would be left wondering where he went. In the past, he might form new relationships. For example, he could become friends with an ancestor of one of his present - day colleagues. This would create a strange connection between the past and the present for the team when he eventually returns.
His relationship with his father Poseidon would be different. He might see a side of Poseidon that he never knew before, like when Poseidon was younger and less experienced. This could change how Percy views his father and their connection.