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Axial Torsion Bounds from the Hydrogen Hyperfine Interval and Its Measurement Precision

Year: 2026
Type: article
Abstract: This paper examines what the precisely known hydrogen hyperfine interval implies for a spin coupling to a uniform axial background. The system considered is ground-state hydrogen and the 21-centimetre hyperfine transition at 1420.405751768 MHz, and the observable is hyperfine frequency precision translated into an energy and torsion limit. Evaluating the ordinary behaviour of the system and the spin-torsion contribution under explicit assumptions about polarisation and uniformity, and inverting the comparison at the stated laboratory precision, gives a quantitative bound rather than a qualitative assertion of smallness. The computed record is: nu_Hz = 1.420e+09; fractional_precision = 1.000e-12; energy_uncertainty_J = 9.412e-37; torsion_bound_per_m = 2.977e-11; splitting_eV = 5.874e-06. The torsion-related contribution is far below the level that would alter the ordinary behaviour of the system at current precision, and the value that would have produced a visible residual is stated so that future improvements can be assessed against it directly. No new measurement is reported. This study is simulated and computed from stated assumptions, not measured.
Language: English
Open Access status: green
OpenAlex ID: W7225809608
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