Centerline Registration and Dimension-Dependent Optimization of Multistripe Torsion Balances for Nonminimal Lorentz Violation
Abstract
Higher-dimension operators in the gravity sector of the Standard-Model Extension generate anisotropic interactions that grow rapidly at short range. Building on earlier striped-balance studies, we develop a finite-volume response and covariance-based optimization for the d=6 and d=8 pure-gravity sectors. We compare three, five, and seven stripes at d=8 and left, centered, and right pattern registrations in both sectors, using horizontal and vertical stripe axes. Volume integration gives azimuth-dependent transfer matrices, while a Gaussian likelihood accounts for coefficient correlations and the unequal uncertainties of constant and sidereal amplitudes. Three stripes give the strongest aggregate d=8 response. Reoptimizing two azimuths for each registration increases the noise-weighted D-optimal score by up to 7.3% at d=6 and 35.6% at d=8. The response matrices permit simultaneous fits of all 14 or 22 real coefficient components. The best marginalized 1σ sensitivities reach 10−9 m2 and 10−15 m4, about two orders of magnitude beyond earlier inverse-square-law limits for the most favorable components. These results identify centerline registration as an additional route to improved short-range tests of Lorentz symmetry.
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BibTeX
@misc{wang2026centerline,
title = {{Centerline Registration and Dimension-Dependent Optimization of Multistripe Torsion Balances for Nonminimal Lorentz Violation}},
author = {Pan-Pan Wang and Rui Luo and Weisheng Huang and Tao Jin and Cheng-Gang Shao},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.06982},
eprint = {2610.06982},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.06982},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Centerline Registration and Dimension-Dependent Optimization of Multistripe Torsion Balances for Nonminimal Lorentz Violation
AU - Pan-Pan Wang
AU - Rui Luo
AU - Weisheng Huang
AU - Tao Jin
AU - Cheng-Gang Shao
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2610.06982
UR - https://arxiv.org/abs/2610.06982
AB - Higher-dimension operators in the gravity sector of the Standard-Model Extension generate anisotropic interactions that grow rapidly at short range. Building on earlier striped-balance studies, we develop a finite-volume response and covariance-based optimization for the d=6 and d=8 pure-gravity sectors. We compare three, five, and seven stripes at d=8 and left, centered, and right pattern registrations in both sectors, using horizontal and vertical stripe axes. Volume integration gives azimuth-dependent transfer matrices, while a Gaussian likelihood accounts for coefficient correlations and the unequal uncertainties of constant and sidereal amplitudes. Three stripes give the strongest aggregate d=8 response. Reoptimizing two azimuths for each registration increases the noise-weighted D-optimal score by up to 7.3% at d=6 and 35.6% at d=8. The response matrices permit simultaneous fits of all 14 or 22 real coefficient components. The best marginalized 1σ sensitivities reach 10^−9 m^2 and 10^−15 m^4, about two orders of magnitude beyond earlier inverse-square-law limits for the most favorable components. These results identify centerline registration as an additional route to improved short-range tests of Lorentz symmetry.
ER -