Perhaps he could gain super strength. Thor is known for his great strength, and if Percy inherits this, he would be even more formidable in combat. He could lift heavier objects, break through stronger barriers, and overpower stronger opponents. This would also change the dynamics of his relationships with his friends and enemies as they would have to adjust to this new, stronger Percy.
He might inherit the power of lightning, just like Thor. So he could be able to summon lightning bolts during battles, which would be a great addition to his existing water - based powers.
One more power he could inherit is the ability to fly. Thor can fly using his hammer. If Percy gets this power, it would completely change the way he travels and approaches battles. He could quickly get to places in need, surprise his enemies from above, and also use it in combination with his other powers. For instance, he could fly over a body of water and then use his water powers more effectively from an aerial position.
Another possibility is that during a quest, Percy finds himself in a place related to Thor's history. It could be an old Norse temple or a realm connected to Thor. There, he discovers hidden records or runes that point to his relation to Thor. This discovery would not only shock him but also open up new storylines such as him exploring his Norse heritage along with his Greek demigod side.
There could be Annabeth. She is Percy's close friend and often plays a crucial role in Percy's adventures. In a situation where Thor kneels to Percy, she might be there to witness it and offer her own thoughts or reactions.
One possible reason could be that Percy has shown some extraordinary power that even Thor, a powerful god, respects. Maybe Percy has defeated a common enemy in a really remarkable way that makes Thor recognize his strength and kneel in admiration.
In most Percy Jackson canon, there is no relation to Thor. However, in fanfiction, anything can be possible. It could be that the author has created a unique crossover where Percy Jackson has some connection to being the heir of Thor, perhaps through some magical or divine intervention that the fanfic writer has dreamed up.
They might start with some mutual suspicion. Percy would be cautious around Thor as he's a very powerful being from a different mythology. Thor might see Percy as a bit of an oddity at first. But then they could start to exchange stories about their adventures. Percy could tell Thor about his battles with the Titans, and Thor could share his tales of fighting giants. This would lead to a newfound respect between them.
Percy's water - based powers could interact interestingly with Thor's lightning. For example, water is a great conductor, so if Thor were to strike Percy's water constructs, it could create a powerful blast. Or Percy could use his control over water to create a shield against Thor's lightning, diffusing it in a spectacular show of power.
Thor's ability to fly with his hammer could be enhanced by Percy's control over water. Percy could create a water - spout or a current of water in the air that Thor could ride on, increasing his speed and maneuverability. In turn, Thor could use his strength and lightning to protect Percy when he is using his water powers in a vulnerable state, like when he is concentrating on creating a large - scale water structure.
I really like the fanfic 'When Thor Meets Percy'. In this one, the author focuses on the cultural shock between Thor, who is used to the grandeur of Asgard, and Percy, who is more in tune with the laid - back yet dangerous world of demigods. Their interactions are hilarious as they try to understand each other's powers and the different rules of their respective mythologies.
Probably not. Thor is busy with his own heroic deeds in Asgard and dealing with his Norse - related challenges. While Percy Jackson fanfiction is about a different set of characters in a different mythological world. There's no connection between them in the original works, so it's hard to imagine Thor taking the time to read Percy Jackson fanfiction.
One great 'Percy Jackson and Thor Fanfiction' is 'The Godly Alliance'. It combines the worlds really well. The author does a great job of bringing Percy's powers and Thor's hammer into the same story. It's full of action and adventure.