arXiv subjects

Eric R. Hedin

Publications and source records attributed to Eric R. Hedin.

2 recordsLinked to original sources

arXiv2017

A higher-dimensional model of the nucleon-nucleon central potential

Based on a theory of extra dimensional confinement of quantum particles [E. R. Hedin, Physics Essays 25, 2 (2012)], a simple model of a nucleon-nucleon (NN) central potential is derived which quantitatively reproduces the radial profile of other models, without adjusting any free parameters. It is postulated that a higher-dimensional simple harmonic oscillator confining potential localizes particles into 3d space, but allows for an evanescent penetration of the particles into two higher spatial dimensions. Producing an effect identical with the relativistic quantum phenomenon of zitterbewegung, the higher-dimensional oscillations of amplitude h/(2πmc) can be alternatively viewed as a localized curvature of 3d space back and forth into the higher dimensions. The overall spatial curvature is proportional to the particle`s extra dimensional ground state wave function in the higher dimensional harmonic confining potential well. Minimizing the overlapping curvature (proportional to the energy) of two particles in proximity to each other, subject to the constraint that for the two particles to occupy the same spatial location one of them must be excited into the first excited state of the harmonic potential well, gives the desired NN potential. Specifying only the nucleon masses, the resulting potential well and repulsive core reproduces the radial profile of several published NN central potential models. In addition, the predicted height of the repulsive core, when used to estimate the maximum neutron star mass, matches well with the best estimates from relativistic theory incorporating standard nuclear matter equations of state. Nucleon spin, Coulomb interactions, and internal nucleon structure are not considered in the theory as presented in this article.

physics.gen-ph↗

arXiv2016

Extra-dimensional confinement of quantum particles

A basic theoretical framework is developed in which elementary particles have a component of their wave function extending into higher spatial dimensions. This model postulates an extension of the Schrodinger equation to include a 4th and 5th spatial component. A higher-dimensional simple harmonic oscillator confining potential localizes particles into 3-d space, characterizing the brane tension which confines Standard Model particles to the sub-manifold. Quantum effects allow a non-zero probability for a particle's evanescent existence in the higher dimensions, and suggest an experimental test for the validity of this model via particles being temporarily excited into the first excited state of the extra-dimensional potential well, in which their probability of existing in 3-d space transiently drops to zero. Several consistency checks of the outcomes of this extra-dimensional model are included in this paper. Among the outcomes of this model are: a match with the quantum phenomenon of zitterbewegung; the predicted intrinsic spin angular momentum is of order h/2Pi; the magnetic moment of the electron is determined with a gyromagnetic ratio of 2; the nuclear force hard core radius is accurately predicted; the ratio of the up and down quark masses is found to be mu/md=0.56, consistent with QCD theory; a self-consistent derivation of special relativistic effects is given; possible explanations of the Planck mass and Planck length, and a possible explanation of the origin of electric charge. In addition, a simple application of higher-dimensional particle effects to the astrophysics of stars is briefly examined, showing that radical physical inconsistencies are not evident. Finally, this model suggests a possible explanation of dark matter as the fractional probability manifestations of a ladder of the higher-dimensional symmetric excited states of ordinary particles.

physics.gen-ph↗