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A path-integral approach to the problem of time

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arxiv 1601.07477 v2 pith:IS24LISZ submitted 2016-01-27 gr-qc hep-th

classification gr-qchep-th
keywords timetransitionamplitudesgeneralinternalmodelpointproblem
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Quantum transition amplitudes are formulated for a model system with local internal time, using path integrals. The amplitudes are shown to be more regular near a turning point of internal time than could be expected based on existing canonical treatments. In particular, a successful transition through a turning point is provided in the model system, together with a new definition of such a transition in general terms. Some of the results rely on a fruitful relation between the problem of time and general Gribov problems.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the relation between perspective-neutral, algebraic, and effective quantum reference frames

    quant-ph 2025-07 conditional novelty 6.0 of 10

    For ideal quantum reference frames with a single constraint, the perspective-neutral, algebraic, and effective semiclassical approaches describe the same physics and the same frame-switching rules.

  2. Large effects from quantum reference frames

    quant-ph 2025-06 conditional novelty 4.0 of 10

    A quantum reference frame with one turning point produces a large, Planck-constant-independent shift in the measured system's position relative to any classical treatment.

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