If Harry Potter had the Infinity Stones in fanfiction, it would completely transform the wizarding world. Magic as we know it would be redefined. Harry could potentially use the Time Stone to go back and prevent Voldemort from ever rising to power in the first place. The Reality Stone could be used to create new magical landscapes or even change the nature of existing spells. With the Power Stone, he might be able to enhance the power of every wizard and witch in the world, making them more capable of defending against dark forces. Overall, it would be a radical shift from the original Harry Potter universe.
The plot would be much more complex. Harry could easily defeat Voldemort with the combined power of the Infinity Stones. So the main conflict of the original story would be resolved very quickly.
It would change Harry's relationship with his friends. They would now have to also be protective of his baby sister. For example, Ron and Hermione might take on an almost parental role at times. They would be more cautious in their adventures to ensure the sister's safety.
It could start with Harry finding the Infinity Stones in a mysterious place within the wizarding world. Maybe it's in an ancient, forgotten vault in Gringotts, or perhaps in a hidden chamber in Hogwarts that has been sealed for centuries.
The wizarding world would likely be plunged into a state of despair. Harry was seen as the 'Chosen One' to defeat Voldemort, so without him, there would be a sense of hopelessness. Voldemort would probably have free rein to impose his dark rule without much opposition at first.
The wizarding world would become more open to Muggle - borns. Harry being a Muggle - born advocate would ensure that there are no discriminatory practices against them. He might also make Hogwarts more accessible to students from all backgrounds, not just those with a magical family history.
The Infinity Stones could also change the magic system. In the Harry Potter universe, magic has certain rules and limitations. But with the introduction of the Infinity Stones, those rules could be bent or broken. For example, a character could use an Infinity Stone to perform magic without a wand, or to teleport across great distances without using apparition. This would create a whole new set of challenges and opportunities for the characters in the fanfiction.
The Infinity Stones could be linked to the Deathly Hallows. Maybe the Resurrection Stone has a connection to the Soul Stone. They could both have the power over life and death in different ways. And the other Infinity Stones could be related to the Elder Wand's power of domination and the Cloak of Invisibility's power to conceal, but on a much grander scale, if they were to be incorporated into the Harry Potter world.
In the 'Harry Potter has the Infinity Stones' fanfic, the whole wizarding world would be changed. Harry might use the Reality Stone to create illusions that are so real they could deceive even the most powerful wizards. With the Mind Stone, he could perhaps read the minds of his enemies and gain crucial information for his battles against the dark forces. And the Space Stone could help him teleport around the wizarding world, giving him an edge in both escape and surprise attacks.
In fanfiction, Harry Potter can change the Wizarding World in many ways. For example, he might introduce new spells or magical concepts that were not in the original series. He could also have different relationships with other characters, which in turn would affect the social dynamics of the Wizarding World.
Hermione Granger would also be a likely candidate. Her thirst for knowledge and her extensive research in the library might lead her to discover ancient texts about the Infinity Stones. Then she would go on a mission to find them, using her intelligence and magical skills to track them down.