On Generalized Uncertainty Principle
Bhupendra Nath Tiwari
Broschiertes Buch

On Generalized Uncertainty Principle

Quantum Gravity, Black Holes, String Theory & Short Distances, Fourier Transformation & Distributions, Discretization

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The present research explores the role of generalized uncertainty inequalities in the theory of quantum gravity. Motivated from the noncommutative nature of string theory, we show that there exists an ultraviolet/ infrared mixing dependent function. From the perspective of higher derivative stringy corrections, the uncertainty principle arises as the analyticity condition of a complex function. For a given ultraviolet cutoff, this observation non-trivially modifies the algebra of quantum observables. With the postulate that Planck length is the minimal length scale in nature, our analysis is i...