A REM (or Reinforceing (sic) Enigmatic Matrix) is a piece of technology developed by the Aswad (in the anime) as a means to temporarily enable the user to utilise nanomachines of the type used by Otomes. Only one REM is currently known: that used by Midori of the Aswad.

The technology was backengineered from a GEM (possibly by the biologist Shiro from Lena Sayers' depleted Lofty Crimson Jade) and was initially only available for short bursts of 300 seconds, until Yohko Helene modified it so that it could be used infinitely. The REM "jewel" itself was discarded after use.

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