Ash would likely be extremely heartbroken. He has always had a deep connection with Pokemon and believing that Arceus, a powerful and supposedly benevolent being, has betrayed him would be a huge blow. He might become withdrawn at first, not knowing who to trust anymore.
He may start to question his entire purpose. Ash has been on a journey with the goal of becoming a Pokemon master. But if Arceus has betrayed him, he might wonder if all his efforts were in vain. He could go on a quest to find out the truth about his journey, why Arceus did what it did, and whether there is still a path for him to follow in the Pokemon world that is true and not manipulated by Arceus.
Ash could also become angry. He might feel a sense of injustice and decide to confront Arceus. He would gather all his strength and the support of his closest Pokemon friends to seek answers and revenge if necessary. He has always been a fighter, and this betrayal would fuel his determination to set things right, even if it means going against the most powerful Pokemon in existence.
There might be some new characters introduced in the fanfiction. A mysterious Pokemon trainer who has some ancient knowledge about Arceus and can guide Ash. Or perhaps a group of Pokemon researchers who have been studying the relationship between Arceus and the world for a long time. These characters could add more depth to the story, providing different perspectives on the situation between Ash and Arceus, and helping Ash in his fight against the perceived betrayal.
Well, it could be that Ash makes a discovery that goes against Arceus' grand plan and is thus betrayed. Maybe he finds out something about the balance of the Pokemon world that Arceus doesn't want known.
Ash could get angry. He has a strong sense of justice, and he might feel that May has violated their friendship. He could challenge her, not in a violent way, but more in a way to get an explanation and to try to make her see the error of her ways. He would likely be determined to show her that what she did was wrong.
Ash would likely be shocked at first. He's so used to seeing the good in people, especially fellow trainers. But then he'd probably get angry and determined to set things right. He has a strong sense of justice, so he wouldn't let the betrayal go unpunished.
Ash would be extremely devastated. Pikachu is not just his Pokémon but also his closest friend. He would likely first try to reason with Pikachu, not believing that Pikachu could truly betray him. He might be in denial for a while.
In a fanfic where Ash betrays and captures Arceus, it could be a very dark and unexpected turn. Maybe Ash has been influenced by some powerful and malevolent force. This would completely change his character archetype from the heroic trainer we know. It could lead to a lot of chaos in the Pokémon world as Arceus is like a god in that universe.
Ash would probably be initially shocked. He is used to seeing the good in people and would not expect such a betrayal from Cynthia. He might stand there in disbelief for a moment, unable to process what has just happened.
Ash might be heartbroken at first. He'd feel a deep sense of loneliness and confusion.
It could be that Arceus betrays Ash by revealing that all of Ash's Pokemon encounters and relationships were fabricated. Arceus made it so that Ash would form bonds with certain Pokemon to further its own ends. For instance, Arceus wanted to study the power of friendship among humans and Pokemon through Ash's experiences. When Ash finds out, he feels used and betrayed. He might then set out on a journey to free his Pokemon from Arceus' control and restore their true free will.
Perhaps Ash has been deceived by a false prophecy or a mysterious figure. This false information could lead him to believe that capturing Arceus is the only way to save the Pokémon world from an impending doom. So, in his misguided attempt, he betrays Arceus.