In this paper we correct previous work on magnetic charge plus a photon mass. We show that contrary to previous claims this system has a very simple, closed form solution which is the Dirac string potential multiplied by a exponential decaying part.…
Generic arguments lead to the idea that quantum gravity has a minimal length scale. A possible observational signal of such a minimal length scale is that photons should exhibit dispersion. In 2009, the observation of a short gamma ray burst seemed…
Ideas about quantum gravity often postulate that at some high energy/momentum scale there will be a fixed, minimal length. Such a minimal length can be phenomenologically investigated by modifying the usual Heisenberg Uncertainty Relation-ship,…
In quantum gravity it is generally thought that a modified commutator of the form [(x) over cap, (p) over cap] = ih(1 + beta p(2)) is sufficient to give rise to a minimum length scale. We test this assumption and find that different pairs of modified…
Current approaches to quantum gravity suggest there should be a modification of the standard quantum mechanical commutator, [x^,p^]=iℏ. Typical modifications are phenomenological and designed to result in a minimal length scale. As a motivating…
In quantum gravity it is generally thought that a modified commutator of the form [xˆ,pˆ]=iħ(1+βp2) is sufficient to give rise to a minimum length scale. We test this assumption and find that different pairs of modified operators can lead to the same…