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This study uses a cold-atom Bose-Einstein condensate to experimentally validate relational constructions of time within the Wheeler-DeWitt framework. By deriving an effective Schrödinger equation parameterized by internal entropy, researchers demonstrate that quantum systems can robustly order events without external clocks. This work establishes a controlled experimental setting for quantitatively testing fundamental concepts in quantum gravity and cosmology.
Testing the problem of time with cold atoms
arXiv:2509.07745v3 Announce Type: replace-cross Abstract: We realize a cold-atom system to quantitatively test relational constructions of time. A well-isolated atomic Bose-Einstein condensate evolves in a conservative trap that is partitioned by a thin optical barrier into an observed and unobserved sector, with negligible dissipation on the experimental timescale. Motivated by relational-time approaches discussed in the Wheeler-DeWitt framework, we ask whether the dynamics of the observed sector can be ordered using only internal degrees of freedom. To this end, we construct an entropic time from an experimentally defined coarse-grained entropy, and demonstrate that it can robustly order the events in the observed sector across repeated cycles of expansion and recollapse. We finally derive an effective Schroedinger equation parameterized by this internal time and show that it is able to reproduce the measured evolution. These results establish a controlled experimental setting in which relational-time constructions can be quantitatively tested.
Abstract:We realize a cold-atom system to quantitatively test relational constructions of time. A well-isolated atomic Bose-Einstein condensate evolves in a conservative trap that is partitioned by a thin optical barrier into an observed and unobserved sector, with negligible dissipation on the experimental timescale. Motivated by relational-time approaches discussed in the Wheeler-DeWitt framework, we ask whether the dynamics of the observed sector can be ordered using only internal degrees of freedom. To this end, we construct an entropic time from an experimentally defined coarse-grained entropy, and demonstrate that it can robustly order the events in the observed sector across repeated cycles of expansion and recollapse. We finally derive an effective Schroedinger equation parameterized by this internal time and show that it is able to reproduce the measured evolution. These results establish a controlled experimental setting in which relational-time constructions can be quantitatively tested.
General Relativity and Quantum Cosmology (gr-qc); Quantum Gases (cond-mat.quant-gas); Quantum Physics (quant-ph)
arXiv:2509.07745 [gr-qc]
(or arXiv:2509.07745v3 [gr-qc] for this version)
Phys. Rev. Research 8, L022047 (2026)
https://doi.org/10.1103/1h9j-df4k DOI(s) linking to related resources
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