Testing the Everett Interpretation of Quantum Mechanics with Cosmology

In this brief note, we argue that contrarily to what is still often stated, the Everett many-worlds interpretation of quantum mechanics is not in principle impossible to test. It is actually not more difficult (but not easier either) to test than most other kinds of multiverse theories. We also remind why multiverse scenarios can be falsified.Comment: 5 page

Antimatter from primordial black holes

Antiprotons and antideuterons are considered as probes to look for primordial black holes in our Galaxy. I give a brief overview of the latest developments on the subject.Comment: proceedings of the XIVth Rencontres de Blois : Matter-Antimatter Asymmetr

Loop quantum gravity and the CMB: toward pre-Big Bounce cosmology

This brief article sums up the possible imprints of loop quantum gravity effects on the cosmological microwave background. We focus on semi-classical terms and show that "Big Bounce" corrections, together with the "pre Big Bounce" state, could modify the observed spectrum.Comment: Proceedings of the 12th Marcel Grossman Meeting on General Relativity. 3 pages, no figur

Can stabilization policies be efficient?

This paper makes use of optimal control relaxed problems to prove the absence of optimal trajectory in continuous time models with social increasing returns to scale where indeterminacy occurs. Although an efficient optimal policy does not exist, some chattering stabilization policies can mimic trajectories whose criterion functional approximates the supremum of the relaxed problem. This configuration is closely related to indeterminacy: by contrast, when the steady state is determined, an optimal policy is likely to exist.Increasing returns, Indeterminacy, Stabilization policy, Relaxed problems

Gauge invariance in Loop Quantum Cosmology : Hamilton-Jacobi and Mukhanov-Sasaki equations for scalar perturbations

Gauge invariance of scalar perturbations is studied together with the associated equations of motion. Extending methods developed in the framework of hamiltonian General Relativity, the Hamilton-Jacobi equation is investigated into the details in Loop Quantum Cosmology. The gauge-invariant observables are built and their equations of motions are reviewed both in Hamiltonian and Lagrangian approaches. This method is applied to scalar perturbations with either holonomy or inverse-volume corrections.Comment: 16 page