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Investigating bounds on the extended uncertainty principle metric through astrophysical tests
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Investigating bounds on the extended uncertainty principle metric through astrophysical tests
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In this paper, we consider the gravitational tests for the extended uncertainty principle (EUP) metric, which is a large-scale quantum correction to Schwarzschild metric. We calculate gravitational redshift, geodetic precession, Shapiro time delay, precession of Mercury and S2 star's orbits. Using the results of experiments and observations, we obtain the lower bounds for the EUP fundamental length scale $L_{*}$. We obtain the smallest bound $L_{*} \sim9\times 10^{-2}$m for gravitational redshift, and the largest bound $L_{*} \sim4\times 10^{10}$m for the precession of S2's orbit.
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Cited by 1 Pith paper
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Combining the Generalized and Extended Uncertainty Principles
An alternative combined uncertainty relation (EGUP) is introduced, and the GEUP is shown to gain a third branch that the authors label—without a derived metric—a new type of black hole.
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