A new character created specifically for the fanfiction could be the main character. This character could be an underdog, not as strong as the well - known fighters. But in the hyperbolic time chamber, they discover their hidden potential and strive to prove themselves against the more established heroes.
A powerful demon from another dimension could be the antagonist. This demon, drawn to the energy of the Hyperbolic Time Chamber, tries to take it over. It has the ability to create illusions inside the chamber, making Goku's training even more difficult and dangerous.
It could be a rogue Saiyan from another part of the universe who somehow manages to enter the hyperbolic time chamber. This Saiyan might have a grudge against Gohan's family or be on a quest for power and sees Gohan as an obstacle.
One idea could be a character going into the chamber not to train for fighting but to study ancient knowledge that can only be accessed within the unique time - space of the chamber.
One idea could be Goku discovers a new power within the Hyperbolic Time Chamber. For example, he might accidentally tap into a form of energy that allows him to manipulate time outside the chamber in a very limited way. This new power could be a key to defeating an upcoming, extremely powerful enemy.
Perhaps in the fanfiction, Gohan invites some of his friends or family to the hyperbolic time chamber for a special training session. They could all learn from each other and develop new team - based techniques. This would also add an element of camaraderie and character development as they face the challenges of the time - altered environment together.
For Naruto, it could accelerate his growth not just in terms of power but also in maturity. Spending a long time alone in the chamber, he might have deep self - reflections and come out with a better understanding of his purpose and responsibilities.
One idea could be Naruto using the hyperbolic time chamber to train intensively for a new and extremely powerful jutsu. He could emerge with a whole new set of skills that surprise his friends and foes alike.
Well, one interesting aspect of Dragon Ball Super time travel fanfiction could be the different ways characters interact with their past or future selves. For example, Goku might meet his younger self and teach him some new techniques, which could change the course of future battles. It also allows for exploring alternate timelines. Maybe in a fanfic, Vegeta could become a Super Saiyan much earlier in a different timeline due to some time - travel - related event.