2025/03/20 by Lorenz Keck, Kumar Arumugam, Leon Chao +8 · 1 citation
Economics, Econometrics and Finance · #Economic theories and models
paper · pdf · doi:10.1088/1681-7575/adc30e
openalex publication_date 2025/03/20 · crossref created 2025/03/20 · crossref issued 2025/03/31 · crossref published 2025/03/31 · crossref published-online 2025/03/31 · crossref deposited 2025/03/31 · crossref published-print 2025/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/13 · crossref indexed 2026/07/27
Abstract We revisit the Kibble–Robinson theory, first proposed in 2014 by Kibble and Robinson. This theory significantly simplifies the construction and operation of Kibble balances. We conducted a theoretical investigation of the theory’s assumptions, using a corner cube as the optical target in the interferometer for velocity measurement. We find that it is advantageous to build a mechanism whose output has minimal rotation and horizontal motion. For balances with relative uncertainty targets below <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>×</mml:mo> <mml:msup> <mml:mn>10</mml:mn> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>6</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> </mml:math> , the mass pan and the optical target should be suspended from a common gimbal so they have the same vertical velocity and no rotation. In this case, the measurement bias due to Abbe offset is minimized, and the bias due to corner loading is repeatable.