Sixth Force and Photonic Overman

In contrast to the Nietzschean conception of Übermensch as signifying, hitherto, a supermanhood in moral terms alone, the principle of the latter lies in its being antithetical to the present human status, and in its thus proving altogether superior both ontologically and physically. With this premise the notions of Sixth Force and Photonic Frame are now associated. Set forth after a qualitative fashion, while the former is related to the thus far known elemental constituents of matter, as well as to forces and interactions between matter particles, and under this form deemed to intangibly account for all the chaos, indeterminacy and otherwise imperfection or limit found so peculiar to man, the latter refers to an ultimate trait in the actual Overman touching a most luminous and unparalleled corporeality. An original conception of geometry in photonic terms is also propounded. Illustrations meeting at length with a semiotic process and literary hints add to the suggestion

Decomposability of Linear Maps under Tensor Products

Both completely positive and completely copositive maps stay decomposable under tensor powers, i.e under tensoring the linear map with itself. But are there other examples of maps with this property? We show that this is not the case: Any decomposable map, that is neither completely positive nor completely copositive, will lose decomposability eventually after taking enough tensor powers. Moreover, we establish explicit bounds to quantify when this happens. To prove these results we use a symmetrization technique from the theory of entanglement distillation, and analyze when certain symmetric maps become non-decomposable after taking tensor powers. Finally, we apply our results to construct new examples of non-decomposable positive maps, and establish a connection to the PPT squared conjecture.Comment: 26 pages, 3 figure

Effective Higgs Lagrangian and Constraints on Higgs Couplings

Probing the properties of the discovered Higgs boson may tell us whether or not it is the same particle as the one predicted by the Standard Model. To this aim we parametrize deviations of the Higgs couplings to matter from the Standard Model by using the Higgs Effective Field Theory framework. Starting with a general dimension-6 effective Lagrangian including both CP-even and CP-odd operators, and requiring that the operators do not introduce power divergences in the oblique parameters, we reduce the number of independent effective couplings of the theory. This framework is then used to put updated constraints on the effective couplings, using the latest Higgs rates data from the Run-I of the ATLAS and CMS experiments, and electroweak precision data from LEP, SLC and Tevatron. We show that the current data is able to significantly constrain the CP-even and some CP-odd operators of the effective Lagrangian.Comment: 34 pages, 6 figures; v2: some issues clarified, updated references, updated fit with latest data from Run-I of ATLAS and CMS (see text for details