In this kind of fanfiction, usually the plot might involve Luffy starting to discover his latent conqueror's haki power. Maybe he first experiences some intense battles where he unknowingly shows signs of it. Then, he might meet an old and wise character who recognizes this power in him and starts to guide him on how to control and use it effectively.
Aside from Luffy, characters like Ace might show up in this type of fanfiction. Ace, being Luffy's brother, could have some connection to Luffy's discovery of conquerer's haki, perhaps through memories or some form of spiritual guidance. Additionally, some powerful enemies might be present. These enemies would serve as the motivation for Luffy to quickly master the conqueror's haki in order to defeat them and protect his crew. There may also be some minor characters from the One Piece world who assist Luffy in his learning process, like the inhabitants of a special village that has knowledge about haki.
Well, there are 'luffy haki fanfic' stories that focus on the development of his Observation Haki. In some of them, Luffy is able to predict the moves of his opponents far in advance, like being able to dodge attacks that are seemingly impossible to avoid. These fanfics often add new elements to the use of his Haki, like being able to sense the emotions behind an opponent's attack as well.
You can start by looking on fanfic websites like Archive of Our Own (AO3) or FanFiction.net. Just type 'luffy haki fanfic' into their search bars, and a whole bunch of stories should come up. These platforms have a large collection of One Piece - related fanfics, including those focused on Luffy's Haki.
If Luffy knew Haki early, it would likely give him a significant advantage. He could take on stronger opponents sooner and perhaps even prevent some of the setbacks he faced originally. This could lead to a quicker rise to power and a different dynamic with his crew.
In 'Battle Through the Heavens,' Medusa's observation of the distance between her chest and chest referred to the scene that happened between Xiao Yan and Queen Medusa in the Snake-People Tribe. Xiao Yan entered the underground cave of the Snake-People Tribe with Queen Medusa in order to search for the 'Heavenly Flame'. In the cave, Xiao Yan and Queen Medusa encountered the enemies of the Snake-People Tribe, the factions of the 'Black-Corner Region'. During the battle, Queen Medusa's body changed. Her body became huge, and at the same time, her head became a snake's head. Xiao Yan discovered that the distance between Queen Medusa's chest and her chest had become extremely large when he was observing the changes in her body. This caused him to feel extremely surprised. In the novel, the author did not describe in detail the distance between Queen Medusa's chest and her observation. He only described his feelings from Xiao Yan's point of view. Therefore, he could not give a specific answer.
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An OC's Haki can be developed through intense training. Just like how Luffy and the others train in the One Piece world. They could face difficult opponents and learn from each battle, gradually strengthening their Haki. For example, if they constantly fight against Logia - type devil fruit users, their Armament Haki would improve to counter their intangible forms.
Tulip's observation diary was very difficult to find because many novels were fictional and there was no real observation diary. However, if you wanted to know the history and story of the tulip, you could read some related novels or books such as The Tulip Story.
In this fanfiction, Naruto's development with Haki could be quite interesting. Firstly, Haki could enhance his sensory abilities even more than his regular chakra - based perception. This would allow him to detect threats from afar and better protect his village. His physical attacks could also become more powerful. He might start to train with different characters who are more familiar with Haki, like if there are any characters from other universes introduced. This could lead to him learning new values and cultures, expanding his world view, which in turn would shape his character in a more complex and mature way.
Maybe an ancient sage in Naruto's own world who has long - been in seclusion. This sage has knowledge of different power systems beyond just chakra. He notices Naruto's pure heart and strong will and decides to pass on his knowledge of haki to Naruto, believing that Naruto can use it for the greater good of the ninja world.