33 citations · 149 across the 15 of their papers we have counts for
5 papers · 1 filter
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…
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…
A Subtle Aspect of Minimal Lengths in the Generalized Uncertainty Principle
Michael Bishop, Joey Contreras, Douglas Singleton
In this work, we point out an overlooked and subtle feature of the generalized uncertainty principle (GUP) approach to quantizing gravity: namely that different pairs of modified o…
Modified commutators are not sufficient to determine a quantum gravity minimal length scale
Michael Bishop, Jaeyeong Lee, Douglas Singleton
In quantum gravity it is generally thought that a modified commutator of the form is sufficient to give rise to a minimum length scale.…