We treat here three apparently uncorrelated topics from the point of view of dense measurement: The EPR paradox, the teleportation process, and Wheeler's delayed-choice experiment (DCE). We begin with the DCE and show, using its unique nature and the histories formalism, that use may ascertain and fix the notion of dense measurement (the Zeno effect). We show here by including the experimenter (observer) as an inherent part of the physical system and using the Aharonov–Vardi notion of dense measurement along a (...) path, that knowledge of certain properties of the incoming system (after a measurement) is equivalent to dense measurement. We reach the same conclusion by discussing the teleportation process, and the EPR paradox from, the same point of view. (shrink)

We show that it is possible to generalize the Ursell–Mayer cluster formalism so that it may cover also the statistics of Internet websites. Our starting point is the introduction of an extra variable that is assumed to take account, as will be explained, of the nature of the Internet statistics. We then show, following the arguments in Mayer, that one may obtain a phase transition-like phenomena.

We study here the properties of some quantum mechanical wave functions, which, in contrast to the regular quantum mechanical wave functions, can be predetermined with certainty (probability 1) by performing dense measurements (or continuous observations). These specific “certain” states are the junction points through which pass all the diverse paths that can proceed between each two such neighboring “sure” points. When we compare the properties of these points to the properties of the well-known universal wave functions of Everett we find (...) a strong similarity between these two apparently uncorrelated entities, and in this way find the same similarity between the Feynman path integrals and Everett's universal wave functions. (shrink)