The Hamilton-Jacobi formalism of topologically massive Yang-Mills theory is applied to null-plane dynamics. A complete set of Hamiltonians in involution and non-involution that generate the system's dynamics is determined. From the characteristic equations, the generator of the gauge transformation is calculated. Finally, the null-plane gauge conditions are imposed, and the generalized...
Neutrinos produced in core-collapse supernovae (CCSNe) offer a valuable probe for investigating the Earth's density profile by studying how Earth's matter influences their oscillations. Nonetheless, recent studies suggest that the Earth matter effects on CCSN neutrinos are expected to be small and difficult to observe with existing or forthcoming neutrino detectors, primarily due to the...