On the dynamics of long-distance geometry

Details On the dynamics of long-distance geometry On the dynamics of long-distance geometry

Mar 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989gregr..21..307m&link_type=abstract

General Relativity and Gravitation, Volume 21, Issue 3, pp.307-314

Physics

1

Scientific paper

In any theory of gravity, the Arnowitt-Deser-Misner energy should provide a good notion of energy. One implication is that compactification can change the Hamiltonian; then standard arguments of energetics cannot give a complete description of compactification. It is also inferred that compactification dynamics should be associated with arbitrarily long distances. Physical reasoning suggests that the relevant dynamics involves the interactions of mixed hard and soft virtual momentum components. This suggestion is studied in the context of superstrings using the heuristic of high-energy scattering, initially at a small or fixed momentum transfer. An argument based on the eikonal approximation and partial-wave unitarity indicates the possibility that Hamiltonians which describe gravitational interactions at long distances on spaces of more than four asymptotically flat, uncompactified dimensions are, in some sense, too singular to define consistent theories. The unique status of energy as an effective charge in gravitational theories is emphasized as the common link among these arguments.

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