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arXiv · 2504.16043

RGUP Corrections to Scalar and Fermionic Fields

Gaurav Bhandari·S. D. Pathak·Vikash Kumar Ojha
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Abstract

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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Gaurav Bhandari, S. D. Pathak, Vikash Kumar Ojha. 2025-04-22. RGUP Corrections to Scalar and Fermionic Fields. https://arxiv.org/abs/2504.16043

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