Lukecetion
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SUMMARY
A lot of people are adamant that the person we see a hologram of when Sasuke is exploring the Otsutsuki Shrine and the leader of Kara, Jigen are two different people. Because of the somewhat mystery revolving around this people have drawn different conclusions and made their own theories. I am here to offer my own views and knowledge regarding this and I aim to explain why Jigen and this "mysterious" Otsutsuki member are one and the same.
THE HORNS
The first evidence that these two are the same person lies in their designs, specifically the horns the both of them spout on their head. The horns on Otsutsuki Hologram is shaped in a "V" shape starting from around the bottom of the neck, around the Cervical Vertebrae with something alike scales covering the bottom based of where the horns originate from. The angle we see the hologram from makes it hard to see if there are two horns, one half and one whole or just one horn. I can with (some certainty) say that this individual possess only one horn and not one of each side of the head. This is backup with how the angle of the left side of the "horn" is drawn along with the symbol on the shrine that represents this individual.
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This symbol depicts the horn shape of each individual. Kaguya for example is portrayed with two symmetrical horns that looks like "ears" which speaks to her inspiration as the "Rabbit Goddess". While the one for this Otsutsuki Member and Kaguya's alleged partner shows a hammer like shape from the front with only a single horn coming out of the right side. This fits with what we see of the Otsutsuki hologram. When we see Jigen starting to transform, his Karma grows to cover his entire body and a horn starts to shape on his right side with what appears to be the a broken horn. This also fits with the hologram and symbol that we've seen already.
THE SYMBOL
We know a few things for certain, for example, each Otsutsuki Shrine has a symbol dedicated to each member in the shrine as noted above. The one for the "unknown" member takes shape as a "Hammer" with a single horn on the right side. We see this symbol one other place in the manga so far and its in Chapter 36 when Jigen is about to arrive.
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When Jigen uses Kawaki's Karma to teleport to his location a symbol manifests on Kawaki. This symbol being the same as the one we saw on the Otsutsuki Shrine further connecting the two characters by more than just looks and assumed power level. As other people have noted however, this could just mean that the two people possess the same power from the same source and that the Karma has been passed down for decades and now it has passed down to Kawaki. This notion is built upon a single panel from the manga which we will talk about next.
TRANSFORMATION
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Because of the panel above people drew the conclusion that when fully released, the Karma that Kawaki has would transform him into the same person we see a Hologram of, at least in terms of looks. They draw this conclusion from the fact that Kawaki grows a horn like we've seen Jigen do and the hologram possess. This is a wildly inaccurate conclusion to draw from this however, which have already been outlined a bit earlier in this thread. Though to sum that up.
- The Otsutuki Shrine depicts the "Unknown" Shrine symbol as a "hammer" with a single horn on the right side.
- When Jigen transforms he gains a single horn on the right side, lacking one of the left.
- In both Jigen and the "Unknown" transformation the horn grows from the back of their head, in a "V" shape from the Cervical Vertebrae.
- Kawaki grows a single horn on the left side, lacking one on the right side.
- Kawaki's horn originates from his forehead and grows backwards as opposed to outward from the neck area as seen in Jigen and the "Unknown".
KARMA
As a extra note in regards to the two Karma in question, that being Jigen and Kawaki. They are different in design upon activation. While Kawaki possess lines with sharp and pointing ends like spears, Jigen possesses lines with a flat end like a rectangle.
CONCLUSION
Jigen and the Otsutsuki Hologram we see at the shrine are the same person, not different people with the same power. As seen with Kawaki, when the power is passed down the power manifests differently, not identically.