Estimating the strength of Lorentzian distribution in non-commutative geometry by solar system tests
arXiv:2411.06628 · doi:10.1142/S0217732325500348
Abstract
In this paper, we study four classical tests of Schwarzschild space-time with Lorentzian distribution in non-commutative geometry. We performed detailed calculations of the first-order corrections induced by the non-commutative parameter on planetary orbital precession, light deflection, radar wave delay, and gravitational redshift. The study showed that the impact of the non-commutative parameter on the time-like geodesics is significantly greater than its effect on the null geodesics. By using a series of precise experimental observations, the allowable range for the non-commutative parameter is ultimately constrained within , which is given by Mercury's orbital precession. This result aligns with the view that is of the order of the Planck length. Moreover, this constrained parameter range exceeds the Planck scale by a significant margin.
arXiv comment15 pages, 3 figures, 1 table
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