In a fanfiction scenario, the Bifrost could malfunction and send Jane Foster into the Harry Potter universe. She lands near Hogwarts and Harry Potter is the one who discovers her. At first, there is a language and cultural barrier. But as they start to communicate, Jane tries to explain about the Bifrost and Asgard. Harry is fascinated and wants to learn more. They could then decide to work together to find a way to repair the Bifrost so that Jane can return home, all while sharing their different skills and knowledge.
Jane Foster could introduce Harry Potter to the concept of the Bifrost. She might show him how it works and how it can be used to travel between different realms. Harry, in turn, could share his knowledge of magic with her. They could then use their combined knowledge to go on an adventure, perhaps to a new and unknown realm.
One possible fanfiction could involve Jane Foster using the Bifrost to accidentally end up in the Harry Potter universe. Maybe she arrives at Hogwarts and is mistaken for a new kind of magic user. The students and professors would be intrigued by her Asgardian technology and different kind of magic. She could potentially teach them about the Nine Realms while also learning about the wizarding world's magic.
In a fanfiction, Foster could be a descendant of an ancient wizarding family with a connection to the Bifrost. Harry Potter, while on one of his adventures, stumbles upon Foster. Together, they embark on a journey to the Bifrost. Along the journey, they learn about the history of their respective families and how they are intertwined with the magic of the Bifrost. They also face challenges like dark wizards who want to control the power of the Bifrost for evil purposes.
Foster could be a Muggle - born who has an innate ability to sense the Bifrost. Harry Potter, being the famous wizard he is, helps Foster understand and control this new - found connection. They might use the Bifrost to travel to different magical realms and discover new spells or magical artifacts. For example, they could end up in a realm where magic is based on music and have to learn to adapt to use their magic there.
For this fanfiction idea, perhaps there was a hidden connection all along. Maybe a powerful wizard or an ancient Asgardian magic was involved in their family's past. Harry's life at Hogwarts would be very different with a sister like Jane Foster. He could learn about different dimensions and technologies from her. And Jane, on the other hand, could be exposed to the wizarding world's secrets. They could have adventures together, using both magic and science to overcome challenges.
Harry Potter and Jane Foster themselves are great to pair. Their different backgrounds, one in magic and the other in science, can create a lot of interesting interactions. Hermione could also be paired with Jane Foster. Hermione's thirst for knowledge and love of learning could mesh well with Jane's scientific mind. They could exchange ideas about different forms of knowledge. Another good pair could be Thor (since he's related to Jane Foster) and Hagrid. They both have a big - hearted and strong - willed nature and could have some fun adventures together in a fanfic.
Well, a fanfiction could involve Jane Foster being a healer at Hogwarts. Since she has some medical knowledge from her own world, she could introduce new ways of treating magical injuries. Or, Harry Potter could be sent on a mission to Jane Foster's world and he has to adapt to the different technology and culture there while still using his magic to solve problems. Also, there could be a story where the Asgardian magic in Jane Foster's world has some sort of connection to the magic in the 'Harry Potter' universe, and they have to figure out how to use this connection to save both worlds from a great evil.
A common theme is the exploration of different power sources. Harry has magic and Jane has her scientific knowledge. Another could be culture shock, as they come from very different fictional cultures.
Yes, there are some out there. You can start by looking on popular fanfiction websites like Archive of Our Own. Just search for 'Harry Potter x Jane Foster' and you'll likely find a variety of stories with different plotlines and interpretations.
A possible plot would be that Jane is researching something related to energy or space - time when she stumbles upon a magical rift. Out comes Harry. At first, they are both confused. But as they explore their family history, they find out they are siblings. Then they have to deal with the fact that there are forces in both their worlds that don't want them to be together. They would go on a journey to find out why and how they are related and also to protect their respective worlds from those who oppose their union.
Harry Potter would likely be very cautious around Loki. Given Loki's reputation for trickery, Harry would be on his guard. When it comes to the giant snake, if Loki was controlling it, Harry might try to reason with Loki first, knowing that a direct confrontation with the snake could be dangerous. He would use his knowledge of magic and the values of the wizarding world to try and persuade Loki to stop whatever he was planning. Loki, on the other hand, would probably be amused by Harry's earnestness and might play with him a bit before revealing his true intentions regarding the snake.