Homo Sapiens: Are We a Monogamous Species?

In order for the process of hominization to continue, with its prolonged and extreme period of juvenile defencelessness, it was necessary, or at least convenient, for males to more actively participate in the care of females and offspring. This necessity, together with the abrupt loss of hominid sexual dimorphism starting with Homo ergaster (more than 1.5 million years ago) suggests to the authors that our ancestor’s sexuality might have evolved around the same time from an earlier state of polygamy to monogamy. Taking into consideration our meagre dimorphism, small relative testicular size, and interest for living in partnerships, monogamy may still persist in modern Homo sapiens. This theory would allow for new perspectives regarding the complex suite of enigmatic emotions have plagued modern humans since our beginnings

Some remarks on the Lp regularity of second derivatives of solutions to non-divergence elliptic equations and the Dini condition

In this note we prove an end-point regularity result on the Lp integrability of the second derivatives of solutions to non-divergence form uniformly elliptic equations whose second derivatives are a priori only known to be integrable. The main assumption on the elliptic operator is the Dini continuity of the coefficients. We provide a counterexample showing that the Dini condition is somehow optimal. We also give a counterexample related to the BMO regularity of second derivatives of solutions to elliptic equations

The Monogamy Gene Could Also Act in Humans

Research has revealed that genetic variations in the human gene AVPR1A affect the disposition and aptitude of individuals to live in a relationship. Thus the activity of this gene could influence the quality of marital relationships and very likely our emotional inclinations

Towards relativistic quantum geometry

We obtain a gauge-invariant relativistic quantum geometry by using a Weylian-like manifold with a geometric scalar field which provides a gauge-invariant relativistic quantum theory in which the algebra of the Weylian-like field depends on observers. An example for a Reissner-Nordstr\"om black-hole is studied.Comment: 9 pages, no figures, improved versio