Identification of a gravitational arrow of time.

It is widely believed that special initial conditions must be imposed on any time-symmetric law if its solutions are to exhibit behavior of any kind that defines an "arrow of time." We show that this is not so. The simplest nontrivial time-symmetric law that can be used to model a dynamically closed universe is the Newtonian N-body problem with vanishing total energy and angular momentum.

Taming nonlocality in theories with Planck-scale deformed Lorentz symmetry.

We report a general analysis of worldlines for theories with deformed relativistic symmetries and momentum dependence of the speed of photons. Our formalization is faithful to Einstein's program, with spacetime points viewed as an abstraction of physical events. The emerging picture imposes the renunciation of the idealization of absolutely coincident events, but is free from some pathologies which had been previously conjectured.

Constraining the energy-momentum dispersion relation with Planck-scale sensitivity using cold atoms.

We use the results of ultraprecise cold-atom-recoil experiments to constrain the form of the energy-momentum dispersion relation, a structure that is expected to be modified in several quantum-gravity approaches. Our strategy of analysis applies to the nonrelativistic (small speeds) limit of the dispersion relation, and is therefore complementary to an analogous ongoing effort of investigation of the dispersion relation in the ultrarelativistic regime using observations in astrophysics. For the leading correction in the nonrelativistic limit the exceptional sensitivity of cold-atom-recoil experiments remarkably allows us to set a limit within a single order of magnitude of the desired Planck-scale level, thereby providing the first example of Planck-scale sensitivity in the study of the dispersion relation in controlled laboratory experiments.

CSF markers in Alzheimer disease patients are not related to the different degree of cognitive impairment.

Standard markers in cerebrospinal fluid (CSF), as soluble amyloid beta 1-42 (Abeta1-42) and total tau protein (t-tau), may contribute to dementia subtypes diagnostic accuracy. Yet, their sensitivity to assess the different degree of cognitive deficit is not fully clarified. Our study analyses Abeta1-42 and t-tau CSF levels in different cohorts of Alzheimer's disease (AD) patients, distinguished as early AD (mild cognitively impaired subjects recently converted to AD), mild AD (MMSE<23; > or =18), and moderately advanced AD (MMSE<18).