Investigating bounds on the extended uncertainty principle metric through astrophysical tests

Abstract

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 $L_{\ast }$. We obtain the smallest bound $L_{\ast }\sim 9\times 10^{-2}$m for gravitational redshift, and the largest bound $L_{\ast }\sim 4\times 10^{10}$m for the precession of S2's orbit.

16 pages, 1 table

References in corpus (14)

• The Confrontation between General Relativity and Experiment
• Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
• Discreteness of Space from the Generalized Uncertainty Principle
• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
• Solar system effects in Schwarzschild--de Sitter spacetime
• Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
• Constraining the generalized uncertainty principle with the gravitational wave event GW150914
• Black Hole Remnants in the Early Universe
• Minimal Length, Friedmann Equations and Maximum Density
• Non-singular and Cyclic Universe from the Modified GUP
• Hubble tension bounds the GUP and EUP parameters
• Constraining the generalized uncertainty principle with neutron interferometry
• The role of an invariant IR cutoff in late time cosmological dynamics

Cited by in corpus (9)

• Generalized Extended Uncertainty Principle Black Holes: Shadow and lensing in the macro- and microscopic realms
• Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics
• Constraining a one-dimensional wave-type gravitational wave parameter through the shadow of M87* via Event Horizon Telescope
• Extended Uncertainty Principle: A Deeper Insight into the Hubble Tension?
• The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
• Extended uncertainty principle and Van der Waals black holes
• Bounded compactness from G(E)UP
• Uncertainty Principles and Non-local Black Holes
• Combining the Generalized and Extended Uncertainty Principles