Klahr Slater and Quinn Piaget chapter FINAL.docx 2 The Swiss psychologist Jean Piaget (1896-1980) remains unchallenged as the most influential developmental psychologist in history. Indeed, as one prominent researcher put it over 25 years ago, " Before Piaget began his work, no recognizable field of cognitive development existed " (Siegler, 1986 ,pp 21-22). The vast sweep of Piaget's theories, ...

A simple extension of the minimal supersymmetric standard model which naturally and simultaneously solves the strong CP and μ problems via a PecceiQuinn and a continuous R symmetry is considered. This model is supplemented with hybrid inflation and leptogenesis, but without taking the specific details of these scenarios. It is shown that the Peccei-Quinn field can successfully act as a curvaton...

The generalized Higgs mass term NH1H2 of the supersymmetric standard model is used to implement the Peccei-Quinn Symmetry to solve the strongCP problem. Then supersymmetry breaking can generate the Higgs mass parameter μ of order m3/2 through soft-breaking parameters. This kind of extension contains extra light fields of the axion supermultiplet whose dominant coupling may come from the supersy...

We consider nonlinear transport equations with non-local velocity, describing the time-evolution of a measure, which in practice may represent the density of a crowd. Such equations often appear by taking the mean-field limit of finite-dimensional systems modelling collective dynamics. We first give a sense to dissipativity of these mean-field equations in terms of Lie derivatives of a Lyapunov...

Successful models of pure gravity mediation (PGM) with radiative electroweak symmetry breaking can be expressed with as few as two free parameters, which can be taken as the gravitinomass and tan β. These models easily support a 125–126GeVHiggsmass at the expense of a scalar spectrum in the multi-TeV range and a much lighter wino as the lightest supersymmetric particle. In these models, it is a...

For control-affine systems with a proper Lyapunov function, the classical Jurdjevic–Quinn procedure (see [22]) gives a well-known and widely used method for the design of feedback controls that asymptotically stabilize the system to some invariant set. In this procedure, all controls are in general required to be activated, i.e. nonzero, at the same time. In this paper we give sufficient condit...

The nature of axion cosmology is usually said to depend on whether the Peccei–Quinn (PQ) symmetry breaks before or after inflation. The PQ symmetry itself is believed to be an accident, so there is not necessarily a symmetry during inflation at all. We explore these issues in some simple models, which provide examples of symmetry breaking before and after inflation, or in which there is no symm...

Invoking the Peccei-Quinn (PQ) solution to the strong CP problem substitutes the puzzle of why θqcd is so small with the puzzle of why the PQ symmetry is of such high quality. Cosmological and astrophysical considerations raise further puzzles. This paper explores this issues in several contexts: string theory and field theory, and theories without and with low energy supersymmetry. Among the q...

The axion solution to the strong CP problem requires an anomalous global U(1) symmetry. We show that the existence of such a symmetry is a natural consequence of an extra dimension in which a gauged U(1) is spontaneously broken on one of two branes, leaving an accidental global symmetry on the other brane. Depending on where the standard model matter lives, the resulting axion can be either the...