New generalized uncertainty principle from the doubly special relativity

Abstract

Based on the doubly special relativity we find a new type of generalized uncertainty principle (GUP) where the coordinate remain unaltered at the high energy while the momentum is deformed at the high energy so that it may be bounded from the above. For this GUP, we discuss some quantum mechanical problems in one dimension such as box problem, momentum wave function, and harmonic oscillator problem.

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• Friedmann equations from GUP-modified equipartition law
• Finite Temperature Considerations in the Structure of Quadratic GUP-modified White Dwarfs
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