33 citations · 149 across the 15 of their papers we have counts for
16 papers
Symmetrized operators or modified integration measure in Generalized Uncertainty Principle Models
Michael Bishop, Daniel Hooker, Doug Singleton
Many Generalized Uncertainty Principle (GUP) models modify the inner-product measure to ensure symmetric position or momentum operators. We show that an alternate approach to these…
GUP, Lorentz Invariance (Non)-Violation, and Non-Commutative Geometry
Michael Bishop, Daniel Hooker, Peter Martin +1
In this work, we formulate a generalized uncertainty principle with both position and momentum operators modified from their canonical forms. We study whether Lorentz symmetry is v…
Quantum gravity, the cosmological constant, and parity transformation
Michael Bishop, Peter Martin, Douglas Singleton
One of the leading issues in quantum field theory and cosmology is the mismatch between the observed and calculated values for the cosmological constant in Einstein's field equatio…
Minimal Lengths in 3D via the Generalized Uncertainty Principle
Michael Bishop, Joey Contreras, Peter Martin +2
We investigate an extension of the Generalized Uncertainty Principle (GUP) in three dimensions by modifying the three dimensional position and momentum operators in a manner that r…
Comments on the cosmological constant in generalized uncertainty models
Michael Bishop, Joey Contreras, Peter Martin +1
The existence of a small, non-zero cosmological constant is one of the major puzzles in fundamental physics. Naively, quantum field theory arguments would imply a cosmological cons…
The more things change the more they stay the same: Minimum lengths with unmodified uncertainty principle and dispersion relation
Michael Bishop, Joey Contreras, Douglas Singleton
Broad arguments indicate that quantum gravity should have a minimal length scale. In this essay we construct a minimum length model by generalizing the time-position and energy-mom…