Generalized Uncertainty Principle as a Consequence of the Effective Field Theory

We will demonstrate that the generalized uncertainty principle exists because of the derivative expansion in the effective field theories. This is because, in the framework of the effective field theories, the minimum measurable length scale has to be integrated away to obtain the low energy effective action. We will analyze the deformation of a massive free scalar field theory by the generalized uncertainty principle, and demonstrate that the minimum measurable length scale corresponds to a second more massive scale in the theory, which has been integrated away. We will also analyze CFT operators dual to this deformed scalar field theory, and observe that scaling of the new CFT operators indicates that they are dual to this more massive scale in the theory. We will use holographic renormalization to explicitly calculate the renormalized boundary action with counterterms for this scalar field theory deformed by the generalized uncertainty principle and show that the generalized uncertainty principle contributes to the matter conformal anomaly.Comment: 15 pages, no figures, Accepted for Publication in Physics Letters

Stable transports between stationary random measures

We give an algorithm to construct a translation-invariant transport kernel between ergodic stationary random measures $\Phi$ and $\Psi$ on $\mathbb R^d$, given that they have equal intensities. As a result, this yields a construction of a shift-coupling of an ergodic stationary random measure and its Palm version. This algorithm constructs the transport kernel in a deterministic manner given realizations $\varphi$ and $\psi$ of the measures. The (non-constructive) existence of such a transport kernel was proved in [8]. Our algorithm is a generalization of the work of [3], in which a construction is provided for the Lebesgue measure and an ergodic simple point process. In the general case, we limit ourselves to what we call constrained densities and transport kernels. We give a definition of stability of constrained densities and introduce our construction algorithm inspired by the Gale-Shapley stable marriage algorithm. For stable constrained densities, we study existence, uniqueness, monotonicity w.r.t. the measures and boundedness.Comment: In the second version, we change the way of presentation of the main results in Section 4. The main results and their proofs are not changed significantly. We add Section 3 and Subsection 4.6. 25 pages and 2 figure

BRIP-1 germline mutation and its role in colon cancer: presentation of two case reports and review of literature.

BackgroundHereditary colon cancer is characterized by the inheritance of an abnormal gene mutation which predisposes to malignancy. Recent advances in genomic medicine have identified mutations in "novel" genes as conferring an increased risk of colorectal cancer. Mutations in the BRIP1 gene (BRCA1 Interacting Protein C- terminal helicase 1) are known to increase the risk of ovarian and breast cancers, but this genes association with colon cancer has not been previously reported.Case presentationWe describe two patients with colon cancer whose tumor tissue were found to harbor BRIP1 mutations on analysis by next-generation sequencing. These patients were confirmed by analysis of lymphocytes to carry the mutation in the germline as well.ConclusionsThese case reports highlight a previously unreported association of BRIP1 germline mutations with colon cancer predisposition

Absence of an Effective Horizon for Black Holes in Gravity's Rainbow

We argue that the divergence in time for the asymptotic observer occurs because of specifying the position of the Horizon beyond the Planck scale. In fact, a similar divergence in time will also occur for an in-going observer in Gravity's Rainbow, if we again specify the position of the Horizon beyond the Planck scale. On the other hand, if we accept the occurrence of a minimum measurable length scale associated with a universal invariant maximum energy scale in Gravity's Rainbow, then the time taken by both the in-going and asymptotic observers will be finite.Comment: 5 pages, revtex4, no figures, to appear in Europhysics Letter

ECONOMICS OF WHEAT-FALLOW CROPPING SYSTEMS IN WESTERN NORTH DAKOTA

Income and risk aspects of wheat-fallow cropping systems are analyzed in western North Dakota. A wheat yield trend estimation model based on county yields (1950-77) is developed using independent variables of year, annual precipitation, acres of nonfallowed wheat and a dummy variable for fallow and nonfallow practices. The year-to-year change in wheat yields on fallowed and nonfallowed land indicates that summer fallow is becoming less desirable economically. Based on 1980 costs and yields, summer fallow maximizes returns to land at low yields, low wheat prices, and high nitrogen prices. Income variability is reduced under summer fallow.Crop Production/Industries,