Abstract
Using the continuity of the scalar (the mass aspect) at null infinity through , we show that the space of radiative solutions of general relativity can be foliated by identifying each leaf with the value of at . We then show that each non-trivial leaf has a natural intrinsic symplectic form which, given the available geometric structure, does not admit a unique extension to the full solution space. A Hilbert space structure is then constructed for every point on each leaf. Since there is no natural correspondence between the Hilbert spaces of different leaves, they define superselection sectors on the space of asymptotic quantum states.
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