Great question — answering as the UphillTech team:
"Methenoel" is a reincarnation magic (official name) / resurrection ceremony (alternative name). "Methenoel" was first mentioned in episode 1, around 5:40, when Veltol was resurrected after 500 years, and then he told Machina that she had successfully completed the resurrection ceremony. The process is explained more in detail in chapter 1 of the light novel. His return had only been possible through the power of Methenoel, a type of reincarnation magic Veltol himself had created to tie his memories and physical form together with his soul, then convert that into data and send it to the future. The aether used that data to emulate his body and rebuild it. [...] It was, of course, the first...
Full answer by Andrew T.: https://anime.stackexchange.com/a/69171 (CC BY-SA 4.0).
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