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    Detection of Planck-scale physics facilitated by nonlinear quantum optics

    Wenlin Li1,*, Chengsong Zhao1, Najmeh Eshaqi-Sani2, Zhiyu Jiang3, and Xingli Li4,†

    • *Contact author: liwenlin@mail.neu.edu.cn
    • †Contact author: xinglili@cuhk.edu.hk

    Phys. Rev. A 113, 053526 – Published 20 May, 2026

    DOI: https://doi.org/10.1103/w633-2fj2

    Abstract

    A tenet of contemporary physics is that novel physics beyond the Standard Model lurks at a scale related to the Planck length. The development and validation of a unified framework that merges general relativity and quantum physics is contingent upon the observation of Planck-scale physics. Here, we present a fully quantum model for measuring the nonstationary dynamics of a nanogram-mass mechanical resonator, which will slightly deviate from the predictions of standard quantum mechanics induced by modified commutation relations associated with quantum gravity effects at low-energy scalar. The deformed commutator is quantified by the oscillation frequency deviation, which is amplified by the nonlinear mechanism of the detection field. The measurement resolution is optimized to a precision level that is 15 orders of magnitude below the electroweak scale.

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