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Integrability vs. Information Loss: A Simple Example

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arxiv hep-th/0602263 v1 pith:DZWLWLXS submitted 2006-02-24 hep-th

classification hep-th
keywords chargesinformationmeasurementsstateasymptoticcoarse-grainedcommutingcompletely
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The half-BPS sector of Yang-Mills theory with 16 supercharges is integrable: there is a set of commuting conserved charges, whose eigenvalues can completely identify a state. We show that these charges can be measured in the dual gravitational description from asymptotic multipole moments of the spacetime. However, Planck scale measurements are required to separate the charges of different microstates. Thus, semiclassical observers making coarse-grained measurements necessarily lose information about the underlying quantum state.

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  1. Observing Spacetime

    hep-th 2025-09 conditional novelty 6.0 of 10

    An asymptotic observer can check a proposed quantum gravity microstate with a probe tuned to the state's creating operator, because extra wormhole saddles make the response O(1) larger than any generic probe.

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