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RGUP Corrections to Scalar and Fermionic Fields
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We investigate the Relativistic Generalized Uncertainty Principle (RGUP) effects on scalar and fermionic fields using the Stetsko-Tkachuk approximation. Modified equations of motion, Hamiltonians, and stress-energy tensors are derived in Minkowski spacetime, incorporating quantum gravitational corrections that ensure a minimal observable length and revert to standard dynamics when corrections are absent. For fermionic fields in curved spacetime, spin connections maintain gravitational consistency. This framework, applicable to high-energy physics, black hole thermodynamics, and cosmology, integrates quantum gravity into relativistic field theories.
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Cited by 2 Pith papers
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An alternative interpretation of the Grioli gyroscope suspension points
An asymmetric heavy gyroscope can regularly precess only when its suspension point lies on one of two lines marking where the intermediate and largest moments of inertia exchange order, with exactly two motions.
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Stark Energy Shifts due to Quantum Gravity in RGUP Algebra
Applying the RGUP to the Stark effect yields beta-proportional energy shifts and an upper bound beta < 10^42 on the deformation parameter.
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