The Bisognano-Wichmann property on the geometric behavior of the modular group of the von Neumann algebras of local observables associated to wedge regions in Quantum Field Theory is shown to provide an intrinsic suucient criterion for the existence of a covariant action of the (universal covering of) the Poincar e group. In particular this gives, together with our previous results, an intrinsi...

It is argued that one approach to modularity in programs containing both demonic and probabilistic choice is to allow variations on the former: `restricted demonic choice', written u L , is not allowed to use the value of variables named in the set L as it resolves its nondeterminism; ordinary demonic choice u is then just the special case u fg in which the set of hidden variables is empty. The...

We introduce and study a natural notion of probabilistic 1Lipschitz maps. We prove that the space of all probabilistic 1-Lipschitz maps defined on a probabilistic metric space G is also a probabilistic metric space. Moreover, when G is a group, then the space of all probabilistic 1-Lipschitz maps defined on G can be endowed with a monoid structure. Then, we caracterize the probabilistic invaria...

The Space Solar Power Satellite is an ultra-large space structure, which collects sunlight directly in and then transmits it into the ground. Since idea was invented 1968, scientists around world have proposed several typical conceptual design models. Nevertheless, models not been implemented for technological, manufacturing, cost reasons. This paper presents a novel scheme with modular line-fo...