We show that a deformation of the Heisenberg algebra which depends on a dimensionful parameter κ is the algebraic structure which underlies the generalized uncertainty principle in quantum gravity. The deformed algebra and therefore the form of the generalized uncertainty principle are fixed uniquely by rather simple assumptions. The string theory result is reproduced expanding our result at fi...

We derive semiclassical upper bounds for the number of bound states and the sum of negative eigenvalues of the one-particle Hamiltonians h = f ( ~ ) + V(x), acting on L2(N"). These bounds are then used N to derive a lower bound on the kinetic energy ~ ( q ~ , f ( i V y ) 0 ) for an j = l N-fermion wavefunction ~. We discuss two examples in more detail: f(P) = ]P[ and f(p) = (p2 + m2)1/2 _ m, bo...

abstract background and aim: the intolerance of uncertainty model was initially developed as an explanation for worry within the context of generalized anxiety disorder. however, recent research has identified intolerance of uncertainty (iu) as a transdiagnostic maintaining factor across the anxiety disorders. the aim of the present study was to compare the intolerance of uncertainty in patient...

Information-theoretic principles for learning and acting have been proposed to solve particular classes of Markov Decision Problems. Mathematically, such approaches are governed by a variational free energy principle and allow solving MDP planning problems with information-processing constraints expressed in terms of a Kullback-Leibler divergence with respect to a reference distribution. Here w...