  The paper focuses on the fact that quantum projective measurements do not
necessarily conserve energy. On the other hand the Wigner-Araki-Yanase (WAY)
theorem states that assuming a "standard" von Neumann measurement model and
"additivity" of the total energy operator, projective measurements of a system
must conserve energy as defined by the system's energy operator. This paper
explores the ideas behind the WAY theorem in hopes of uncovering the origin of
the contradiction.
  After Araki and Yanase published their proof of the WAY theorem, Yanase
appended a new condition now known as the Yanase condition. Under the
simplifying assumption that the observable being measured has discrete and
non-degenerate eigenvalues, we prove that the Yanase condition actually follows
from the hypotheses of the original WAY theorem.
  The paper also proves that the hypotheses of the WAY theorem, together with
the simplifying assumption, imply that the energy operator for the measuring
apparatus must be a multiple of the identity, which seems physically unlikely.
It seems probable that this surprising conclusion, along with the Yanase
condition, also holds without the simplifying assumption.
