The Common Vulnerability Scoring System is at the core of vulnerability management for systems private corporations to highly classified government networks, allowing organizations prioritize remediation in descending order risk. With a lack justification its underlying formula, inconsistencies specification document, and no correlation exploited vulnerabilities wild, it unable provide meaningf...

Abstract The chiral susceptibility, or the first derivative of condensate with respect to quark mass, is often used as a probe for QCD phase transition since an order parameter SU(2)L × SU(2)R symmetry breaking. However, also breaks axial U(1) symmetry, which usually not studied it already broken by anomaly and apparently has little impact on transition. We investigate susceptibilities in scala...

The electronic wave functions in moir\'e materials are highly sensitive to the details of local atomic configuration enabling Bloch band geometry and topology be controlled by stacking strain. Here, we predict that large injection currents (under circularly polarized irradiation) can develop strained twisted bilayer graphene (TBG) heterostructures with broken sublattice symmetry; such bulk phot...

Abstract Symmetries in nanoscale structures can be decisive for their structural, electronic, and magnetic properties, particularly systems with reduced dimensions. Here we show that the symmetries of a flat metal-organic molecule adsorbed on transition metal dichalcogenide, 2-dimensional layered material, have dramatic effect total spin intramolecular spin-spin interactions. Using scanning pro...

A fundamental problem in the theory of PT-invariant quantum systems is to determine whether a given system “respects” this symmetry or not. If not, the system usually develops non-real eigenvalues. It is shown in this contribution how to algorithmically detect the existence of complex eigenvalues for a given PT-symmetric matrix. The procedure uses classical results from stability theory which q...

The Galilei group involves mass as a central charge. We show that the associated superselection rule is incompatible with the observed phenomenology of superfluid helium 4: this is recovered only under the assumption that mass is spontaneously broken. This remark is somewhat immaterial for the real world, where the correct space-time symmetries are encoded by the Poincaré group, which has no ce...

A popular question in recreational mathematics is the following: If we drop a spaghetti noodle and it breaks at two random places, what is the probability that we can form a triangle with the three resulting segments? See for example [2, chap.1, sec.6], [3, p.6], [4, p.31], or [7, p.30-36]. This is an elementary problem in geometric probability. Clearly the length of the noodle (or equivalently...