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Big wormholes and little interactions. (English) Zbl 0969.83503
Summary: In an earlier paper we suggested a mechanism by which a large density of wormholes at a small distance scale could prevent the formation of any wormholes at any larger scale. There is an apparent paradox here, in that the total effect of small wormholes should be equivalent to that of a high-dimension interaction, which although large at the small scale should be very small at a very large scale; it is difficult to see how such a small interaction could have a large effect. In this paper, we work out what happens in some detail, including a comparison (in a model theory) of an instanton computation and a Hamiltonian one. We find that not only is there no paradox, but that small wormholes are even more efficient at eliminating large wormholes than our earlier estimates had indicated; even a small density at small distance scales is enough to do the job.

83C45 Quantization of the gravitational field
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