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    Quantum metrology of Newton’s constant with levitated mechanical systems

    Francis J. Headley1,*, Alessio Belenchia2, Mauro Paternostro3,4, and Daniel Braun1

    • *Contact author: francis.headley@uni-tuebingen.de

    Phys. Rev. Applied 26, 014008 – Published 6 July, 2026

    DOI: https://doi.org/10.1103/pm4s-gv8w

    Abstract

    Newton’s constant is the least well measured among the fundamental constants of nature, and, indeed, its accurate measurement has long served an experimental challenge. Levitated mechanical systems are attracting growing attention for their promising applications in sensing and as an experimental platform for exploring the intersection between quantum physics and gravitation. Here, we propose a mechanical interferometric scheme of interacting levitated oscillators for the accurate estimation of Newton’s constant. Our scheme promises to beat the current standard by several orders of magnitude.

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