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> the difference between truly random noise and an encrypted volume

A LUKS volume with a detached header is indistinguishable from random data.

Have you actually compared the random data that various tools write to a disk to encrypted files? Load up binwalk and give it a rip, you will be surprised by how distinct the entropy graph is between the two

What you propose ("the random data that various tools write to disk") is not _random data_.

Compare the entropy graph of /dev/random against a LUKS volume with a decrypted header, and you will see no difference.

s/decrypted/detached/

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