Symmetries play a major role in physics, in particular since the work by E. Noether and H. Weyl in the first half of last century. Herein, we briefly review their role by recalling how symmetry changes allow to conceptually move from classical to relativistic and quantum physics. We then introduce our ongoing theoretical analysis in biology and show that symmetries play a radically different ro...

Alan Page Fiske has made a strong empirical case that social cognition is structured by four underlying mental schemata, the “relational models”. Fiske argues that the four models are innate, and he thus concludes that they are encoded in the genome. But work on self-organization suggests that biological structures can be innate without being genetically encoded. Plausibly, the four models resu...

CO RR EC TE D PR Abstract It is a widely held assumption that social cognition is wholly the result of natural selection and learning, debates arising over how much was naturally selected versus how much is learned. I argue here, however, for there being a third factor, namely physics, specifically symmetries and symmetry breakings in neural dynamics. These symmetries manifest themselves in soc...

We analytically study the impact of a (possibly, very intense) short laser pulse onto an inhomogenous cold diluted plasma at rest, in particular: duration hydrodynamic regime; formation and features waves (PWs); their wave-breakings (WBs); motion test electrons injected PWs. If is plane wave travelling z-direction, initial density (IPD) depends only on z, then suitable matched bounds maximum re...

In this paper we propose a class of efficient Generalized Method-of-Moments (GMM) algorithms for computing parameters of the Plackett-Luce model, where the data consists of full rankings over alternatives. Our technique is based on breaking the full rankings into pairwise comparisons, and then computing parameters that satisfy a set of generalized moment conditions. We identify conditions for t...

We start a program of background independent quantum gravity in eight dimensions. We begin by considering canonical gravity a la ”Kaluza-Klein” in D = d + 1 dimensions. We show that our canonical gravity approach can be applied to the case of self-dual gravity in four dimensions. Further, by using our previously proposed classical action of Ashtekar self-dual gravity formalism in eight dimensio...