Fractal uncertainty principle with explicit exponent

Notes on fractal uncertainty principle version 0.5 (October 4, 2017)

Variational Principle for the Generalized KdV-Burgers Equation with Fractal Derivatives for Shallow Water Waves

The unsmooth boundary will greatly affect motion morphology of a shallow water wave, and a fractal space is introduced to establish a generalized KdV-Burgers equation with fractal derivatives. The semi-inverse method is used to establish a fractal variational formulation of the problem, which provides conservation laws in an energy form in the fractal space and possible solution structures of t...

Notes on fractal uncertainty principle version 0 . 4 ( August 24 , 2017 )

Notes on fractal uncertainty principle version 0 . 42 ( September 16 , 2017 )

On Inflation with the Generalized Uncertainty Principle

In this paper we revisit the formulation of scalar field theories on de Sitter backgrounds subject to the generalized uncertainty principle (GUP). The GUP arises in several contexts in string theory, but is most readily thought of as resulting from using strings as effective probes of geometry, which suggests an uncertainty relation incorporating the string scale ls. After reviewing the string ...