3! Ah! "Big"! Do! In a road novel, the protagonist only has a female protagonist, so it is a single female protagonist. (The following is written by the author who was taken away from his body)
Alchemist Vera is obsessed with unraveling the underlying laws of the world, but in an accident, she etches a strange "purple mark". This was supposed to be the ultimate breakthrough in her "universal theory", but instead it became a wanted order being hunted by the "Balance of Order" - those cold lines were the fragments of equations that tore apart space, and they were the coordinates of the door to annihilation in another world.
In order to find the equation to save herself, Vera clung to the alien metal fragment that was the only guide and embarked on the road of escape across the continent. Dirty sewers, border black markets, twisted forests... The hunting nets of the Balance of Order were pressing hard, and the purple lines spreading on her arms were eating away at her flesh. When the purple light of the Forgotten Spire tore through the sky, she finally understood: This was not an invitation to adventure, but a countdown to the collapse of the dimension.
"Vera's Formula from Another World" - Use reason as the blade to cut through the truth of chaos.