Orphans of chaos

A tale about five orphans raised in a strict British boarding school who begin to discover that they may not be human beings. The students at the school do not age, while the world around them does. The children begin to make sinister discoveries about themselves. Amelia is apparently a fourth-dimensional being; Victor is a synthetic man who can control the molecular arrangement of matter around him; Vanity can find secret passageways through solid walls where none had previously been; Colin is a psychic. Each power comes from a different paradigm or view of the inexplicable universe: and they should not be able to co-exist under the same laws of nature. Why is it that they can?