For what I understand, the proposal- with its suggestion that it may account for dark matter- seems to imply that two different arrangements of exactly the same

For what I understand, the proposal- with its suggestion that it may account for dark matter- seems to imply that two different arrangements of exactly the same particles can have different mass, depending on how much information those arrangements encode. Because otherwise, if "information" is intrinsic to each particle and not a collective property, then I don't see how its mass wouldn't be already accounted for by the particles' mass.