A modified gravity model coupled to a Dirac field in 2D space–times with quadratic nonmetricity and curvature

After summarizing the basic concepts for the exterior algebra, we first discuss the gauge structure of the bundle over base manifold for deciding the form of the gravitational sector of the total Lagrangian in any dimensions. Then we couple minimally a Dirac spinor field to our gravitational Lagrangian 2-form which is quadratic in the nonmetricity and both linear and quadratic in the curvature in two dimensions. Subsequently, we obtain field equations by varying the total Lagrangian with respect to the independent variables. Finally, we find some classes of solutions of the vacuum theory and then a solution of the Dirac equation in a specific background and analyze them.

The Neutrino Decay of the Free Neutron and the Neutrino Structure According to the Planck Vacuum Theory

The Planck vacuum (PV) theory derives equations for the neutrino and antineutrino, and relates them to the unstable free neutron and antineutron. Remarkably, these neu- trons and neutrinos share the same wavefunction solutions that describe the proton and electron and their antiparticle cores. The neutrino and antineutrino are chargeless and massless; so their propagation through matter goes unnoticed, making these neutrinos invisible. The equations to follow that describe these pseudo-particles are the theoretical embodiment of the circa 1930 Pauli neutrino hypothesis. Finally, depending on one’s perspective, the neutrons can be viewed as decaying meta-particles or as stable nuclear particles.

This The Neutron Meta-Particles and their Decay as Viewed in the Planck Vacuum Theory

The mean life of the free neutron is about fifteen minutes, after which it decays into a proton plus an electron and an electron-neutrino. According to the Planck vacuum (PV) theory, however, it is the neutron and ``antineutron" meta-particles (MP)s that decay, in roughly fifteen minutes, into the stable electron and proton cores. The electron and proton core spins remain constant during the transformations-so there is no need for the neutrino spin correction during the decay process, bringing into question the validity of the neutrino itself.

The The Fine Structure Constant and Radiative Corrections for the Electron and Positron Cores as Viewed in the Planck Vacuum Theory

The present paper derives the radiative corrections for the electron and positron cores in the Planck vacuum theory, leading to the electron and position particles in a 7-dimension spacetime. The physical meaning of the fine structure constant is twofold: it is the ratio of the electron spin coefficient to the electron-core spin coefficient; and it is the probability that an electron or positron will emit or absorb a photon. The nature of this photon defines the spin quanta in the PV theory. Results suggest that the Feynman and Schwinger QED calculations refer to the PV state. Finally, the closed-loop electron-positron pairs in the Feynman diagrams are explained.

The Seven-Dimensional Spacetime in the Planck Vacuum Theory and the Structure of the Electron and Proton Cores

The electron and proton cores in the Planck vacuum (PV) theory are reccognizable elementary particles that obey the manisestly covariant Dirac equation and that are coupled to the PV state. (This statement and similar statements to follow also apply to the electron-core and the proton-core antiparticles.) This paper derives the corresponding 2x1 spinor-wavefunction equations for these cores, leading to a 7-dimensional spacetime that consists of two 4-dimensional spacetimes, the result of a bifurcated vacuum state. Both the electron and proton cores contain structure, where the electron core structure is orders of magnitude smaller than the proton-core structure. The core structure is easily reccognized in the calculations, as is particle-antiparticle annihilation. The difference between the electron and proton cores and their electron and proton particles is that the latter contain radiative corrections.

Superfluid vacuum theory and deformed dispersion relations

Using the logarithmic superfluid model of physical vacuum, one can formulate an essentially quantum post-relativistic theory, which successfully recovers Einstein’s theory of relativity in low-momenta limit, but otherwise has different foundations and predictions. We present an analytical example of the dispersion relation and show that it should have a Landau form which ensures the suppression of dissipative fluctuations. We show that in the low-momentum sector of the theory, a dispersion relation becomes relativistic with small deformations, such that a photon acquires effective mass, but a much more complex picture arises at large momenta.

The Anomalous Magnetic Moment of the Electron and Proton Cores According to the Planck Vacuum Theory

Despite the resounding success of the quantum electrodynamic (QED) calculations, there remains some confusion concerning the Dirac equation’s part in the calculation of the anomalous magnetic moment of the electron and proton. The confusion resides in the nature of the Dirac equation, the fine structure constant, and the relationship between the two. This paper argues that the Dirac equation describes the coupling of the electron or proton cores to the invisible Planck vacuum (PV) state (involving e2 ); and that the fine structure constant ( = e2/e2 ) connects that equation to the electron or proton particles measured in the laboratory (involving e2).

Induced energy polarization of the vacuum and the rotational curves of spiral galaxies

The theory of an induced energy polarized vacuum is used to determine the rotational curves for modeled galaxies whose baryonic mass distribution parameters are the median values of three classes of spiral galaxies. From the theoretical curves it is found that the bulge contribution plays a dominant role in determining the behavior of the rotational curves in the inner regions (i.e., within three disc scale lengths). For the outer regions the theoretical rotational curves for all the galaxies behave similarly as they slowly fall to the asymptotic value as determined by the baryonic Tully–Fisher relationship. Overall it is found that rotational curves generated by the induced energy polarized vacuum theory can readily produce observed features in the rotational curves of spiral galaxies.