Conservation laws of physics in Dirac vacuum and β-decay of nuclei

The laws of conservation of energy, linear momentum, and angular momentum of a system form a closed unit according to Noether's theorem. A generalization of these laws (including spin) for elementary particles taking into account the states of negative energies of the Dirac vacuum is given. A new interpretation of the β — decay of nuclei, without neutrinos, using interactions with Dirac's anti-world is discussed, which explains all characteristics of the β — continuum. A quantum-electrodynamic theory of β-decay is presented in which Fermi's constant g of weak interactions is determined from first principles (without neutrinos). The latter is an expression of e, h, c, m, M, and R, i.e., g is not an independent constant of physics nor is it necessary to measure it.