A determination of the amounts of neon and helium in atmospheric air

Abstract

It has been conjectured that representations of the B.M.S. group may be of relevance to the classification of elementary particles. In an effort to examine this conjecture, the Poincare spin multiplicities occurring in each induced B.M.S. representation are calculated. For positive mass squared, direct sums of discrete Poincare spins occur. For non-positive mass-squared, direct integrals of continuous Poincare spins (together with, possibly, direct sums as well for negative mass squared) occur, though the Bondi spins are always discrete. It is proved that all induced B.M.S. representations (and hence also those of Komar's factor group I) are irreducible.