It's been a few month since Jiyū had discovered his Jogan since then he has been sneaking out to secretly training with it while trying to get the remainder of his memories back.
Alas it was for naught as while his proficiency with the Jogan increased his memories still haven't returned.
He had figured out that like the uchiha clans famed mangekyou sharingan there's some downsides to his Jogan as well.
Firstly the positvies he had been able to figure out include but not limited to; highly increased perception to the point his body was able to keep up, dynamic vision, photographic memory, gradually increased chakra reserves to the point he could no almost rival a jonins reserves at only 7 years old, (was 6 turning 7 when he got the curse mark, neji is 4 with Naruto and gang being 3.) also granting him the ability to not only to see through and resist genjutsu but to also cast it.
After discovering all these abilities he decided to go take another look at how his Jogan looks. Jiyū was suprised to see a strange petal like shape with a silver colour in this eyes seemingly blending in with his Jogan. Seeing this it was obvious that his dojutsu could still evolve. He had thought of a few theories on what this could be but nothing confirmed. The first thing he had figured out is that the Jogan grants a special future sight ability in one eye while the other eye seems to be able to see through the world is what he theorised as what he currently thinks is that those distortion he sees are spacial tears that he can currently only see but has no way to control or interact with.
Other then these two special abilities it seemed like he had all the basic abilities of the byakugan and a normal tomoe sharingan which made sense he would most likely begin to unlock more abilities the more petals he aquires.
Although Jiyū knows he is currently quite powerful he still realises it isn't enough as this is only special abilities granting by his eyes.
The negatives discovered are pretty severe the ones that he had managed to discover is that these eyes also had a major downside, due to the overwhelming power contained in them his eyes cause him severe pain with every use even though his control and power rises. Not only does it cause pain by frying some nerves but it also starts deteriorating with each use.
After finding this out Jiyū was at a loser on what to do as his eyes just like the mangekyou could end up going blind with excessive use. After continuously experimenting with them he has found that due to his purified bloodlines, he is closer to his origin then others, his added mental energy from transmigrating is a bonus as well, so while he has an abundance of yin chakra his origin genes or otoutsuki genes have caused his byakugan to mutate differently.
Although his bloodline is more purified than others he is still mostly from a normal human due to how diluted the blood has become. To fix this issue inspiration struck him. 'If I use my Kaguya bloods naturally strong yang chakra can't alleviate the side effects?'
Thinking of this Jiyū had experimented with it and was ecstatic upon discovering that not only can he rejuvenate his eyes but can also minutely strengthen them permanently each time, this is due to slowly fusing the yang chakra from his body to his eyes which contain his yin chakra.
Upon discovering this method Jiyū although happy was still contemplating a way to permanently fix his eyes, as other than the pain he gets when using them, his eyes heal too slowly.
A few theories have been made to strengthen him self and rid the side effects. Number 1. Aquire purer otoutsuki dna, which is currently impossible as Hagoromo and hamura are dead and Kaguya is sealed.
Although In theory, aquiring the blood of the hagoromo linage would be able to assist him but there are many improbabilities and downsides to this as he is strongly integrated into Hamuras line. At this current point he estimates him self to have about 20% otoutsuki genes and the remainder is split between the diluted Hyūga and Kaguya blood.
To complete his blood and gaining more otoutsuki genes he would need to purify the diluted bloodline further to the point where he would be able to become a half otoutsuki. To do that he would need to kill a few Hyuga and Kaguya and gain their purest otoutsuki traits, for the Hyuga most obviously their eyes and for the Kaguya it would be either the spinal fluid or all their bone marrow.
Other than exploring the positives and negatives and getting more proficient in his ocular powers, Jiyū has been been receiving specialised training from Hizashi on the Hyuga clan's gentle fist.
Hizashi initially not planing to teach seriously became shocked at his sons learning efficiency although limited in what he could teach being the younger brother of the clan head Hizashi still had certain privileges. When he realised that his son was a genius he decided to report it directly to his brother to not only boost the Hyuga clans reputation but to also procure specialised training for the kid.
[main house]
Hizashi had been training Jiyū for 1 month already although the child is supposed to start attending the academy they could hold off on that as certain clans enjoy certain privlages. Walking towards the clan leaders house Hizashi informed the servants that he was here to talk with his brother. The servants trained to protect the main branch reported directly to the head who granted Hizashi permission to see him.
While walking Hizashi for the first time felt a fire of determination bubbling inside of him, not for him self but for his genius eldest son Jiyū he was planning to have him trained by his brother who is one of the strongest in the clan directly. Snapping out of his thoughts as he approached the door, Hizashi made his presence known, allowing Hiashi to grant his entry.
"Brother, it's good to see you. What have you come to see me about." Began Hiashi with a tinge of warmth at his younger brother. "Br— Clan head I've come to see you about my eldest son Jiyū. I've been training him in the Hyuga gentle fist teqniques the past month and he has shown a remarkable talent, not only is he already proficient in it but is also already able to preform the 8 trigrams basic technique." As Hizashi began explaining his sons astonishing progress in the clan's techniques he was able to see the slight surprise on his otherwise normally stoic brothers face. "How intriguing it seems like the Hyuga has finally birthed a genius. This is amazing news Hizashi!" Looking at his elder brother with anticipation and excitement Hizashi decided to ask his favor. "Yes brother this is a godsend. I've come to you today not only to report this but to also ask you for a favor…" Hizashi studied his brothers face for any signs of rejection before internally sighing in relief at his brothers tiny knowing smile that one might of missed if they weren't familiar with the clan head.
"Say no more brother, I will personally over see Jiyū's training if he really is as talented as you say. We can't let a gem like that waste away when he could become one of the main families greatest protectors. I will make sure to train him and Instil within him the honour of protecting the main family line." Hearing his elder brothers words Hizashi sighed in relief allowing a small smile to cross his face. Although he had given up on life mostly due to his 2 wife's ending up dead one through childbirth and the other on the night of the nine tails, the caged bird seal was just the seasoning on top. But if his son could be granted certain privlages then that was all that mattered.
"Alright elder brother thank you. I will bring Jiyū over tomorrow so you may test him." After getting all the important stuff out of the way the two brothers continued making idle chatter for a little longer before Hizashi decided to dismiss himself back to his house.
[Back at the Hizashi family house]
Jiyū is currently putting his younger brother Neji to sleep as his father had left earlier without telling them anything. "Alright brat, your elder brother is tired so knock your self out so I can rest." Looking at his elder brother who's sitting at the edge of the bed Neji rolls his eyes with his still permanent scowl framing his face. "I'm not a brat! Stop being annoying and get out brother." Turning his head to look at his younger brother Jiyū lets out a small sigh with a soft smile on his face. Neji staring back into his brothers eyes as he sighs notices a faint silver glow emitting from his byakugan, furrowing his brows in confusion Neji observes more closely seeing that his elder brothers eyes seem to be a diffrent shad then any other Hyuga he had seen. "Brother? Why is your eye colour silver?" As he was about to get up to leave Jiyū snaps his head back to neji in surprise before a sudden though came to him.
Deciding not to linger any longer he bids Neji good night before heading to his room and standing in front of a mirror. 'Huh my eyes seems to have become a light silver instead of the pure white of the Hyuga clan. How intriguing is this because of bloodline purity?' Studying his eyes in the mirror Jiyū think of what excuse he could make for his diffrent coloured eyes, after thinking for a while he lays on the bed and decided that there's no point of hiding this as everyone else will just chalk it up to him having a stronger byakugan which isn't wrong.
Gradually as sleep overtook him Jiyū's thoughts wondered to the Ninja academy and when Hizashi would allow him to enroll.