NEW RENEWABLE SOURCE: REST ENERGY OF THE ELECTRON SPIN

The intrinsic properties of electrons are fundamental for the progress of science. The relationship between electron mass and its electric charge and spin is poorly explored. Thus, through the Relativistic Quantum Theory, we have investigated the equivalence between mc² and qc², where m and q are, respectively, the mass and the electric charge of the electron. We demonstrated that ∆E = mc² ≡ Aqc², where A (A = 5.68562964 × 10−12KgC−1) is the proportionality constant obtained through the ratio of the spin g-factor and the gyromagnetic ratio for a free electron. The alignment of the spin magnetic dipole moment with the magnetic field ceases the electron precession movement. Therefore, the kinetic energy, associated with the precession, is dissipated with an intensity equal to mc². This result is promising for the production of clean and sustainable energy, besides new technological applications.

Spin and entanglement in general relativity

In a previous paper, we have shown how the classical and quantum relativistic dynamics of the Stueckelberg–Horwitz–Piron [SHP] theory can be embedded in general relativity (GR). We briefly review the SHP theory here and, in particular, the formulation of the theory of spin in the framework of relativistic quantum theory. We show here how the quantum theory of relativistic spin can be embedded, using a theorem of Abraham, Marsden and Ratiu and also explicit derivation, into the framework of GR by constructing a local induced representation. The relation to the work of Fock and Ivanenko is also discussed. We show that in a gravitational field there is a highly complex structure for the spin distribution in the support of the wave function. We then discuss entanglement for the spins in a two body system.

The non-relativistic and relativistic quantum theory with temperature

In this paper, we have proposed the principle of quantum thermodynamics, including energy principle and microcosmic entropy principle, and given the quantum thermodynamics of non-relativistic and relativistic quantum theory, i.e., the temperature-dependent schrodinger equation, Dirac equation and photon equation. We given the solution for wave function and energy level with temperature. Taking the hydrogen atom as an example, we given the temperature correction to hydrogen atom energy level and wave function.

Evolution of Superoscillations in the Dirac Field

Superoscillating functions are band-limited functions that can oscillate faster than their fastest Fourier component. The study of the evolution of superoscillations as initial datum of field equations requires the notion of supershift, which generalizes the concept of superoscillations. The present paper has a dual purpose. The first one is to give an updated and self-contained explanation of the strategy to study the evolution of superoscillations by referring to the quantum-mechanical Schrödinger equation and its variations. The second purpose is to treat the Dirac equation in relativistic quantum theory. The treatment of the evolution of superoscillations for the Dirac equation can be deduced by recent results on the Klein–Gordon equation, but further additional considerations are in order, which are fully described in this paper.