Self Interference of Single Electrodynamic Particle in Double Slit

Abstract

It is by the long established fact in experiment and theory that electromagnetic waves, here as one component of an IED particle, passing a double slit will undergo self inference each, producing at a detector plane fringed intensities. The wave generating point charge of a zero rest mass, as the other component of the particle, is maintained a constant energy and speed by a repeated radiation reabsorption/reemission scheme, and in turn steered in direction in its linear motion by the reflected radiation field, and will thereby travel to the detector along (one of) the optical path(s) of the waves leading to a bright interference fringe. We elucidate the process formally based on first principles solutions for the IED particle and known principles for wave-matter interaction. ‡ Presentation at the 6th Int. Symp. Quantum Theory and Symmetries,

Vacuum Potentials for the Two Only Permanent Free Particles, Proton and Electron. Pair Productions

“…Values of β q evaluated based on (14) for the charges of the IED proton p, electron e, antiprotonp, and positronē, together with other parameters involved in this section, Ω, A q1 (A qα ), M q , t ϕ1.0 , are tabulated in Table 1. Table 1.…”

“…, crossing each two sites. The A +eē of +e may be evaluated based on the energy equation forē, 1 2 β +e A 2 +eē = M e c 2 , given by using β q = β +e for +e in (14) but with the ε exc equal to that of its opposite charge at level n = 1 (i.e. M e c 2 ) for ε q1 , to be…”

“…ψ q is a complex function because |ψ q (z, t)| 2 will be associated with the total energy (5) below that is conserved in a conservative force field (see further e.g. [14]). j q may be alternatively described by a diffusion current j q = −D q [ψ * q ∇ψ q − (∇ψ * q )ψ q ], where D q is an imaginary diffusion constant (Appendix B).…”

“…Values of β q evaluated based on (14) for the charges of the IED proton p, electron e, antiproton p, and positron ē, together with other parameters involved in this section, Ω, A q1 (A qα ), M q , t ϕ1.0 , are tabulated in Table 1. Taking (i)-(iv) together, the creation of particle p or e corresponds to the excitation from energy level n = 0 (the ground state) to n = 1 (the first excited state) of the charge q = +e or −e in its potential well V v+en or V v-en , upon a minimum external energy supply ε exc.m (= ω γ ) = ε q1 = M p c 2 or M e c 2 .…”

“…On the other hand, this excited +e of ē is free to travel from site to site at its own constant potential energy level V v+eē , provided it has a sufficient kinetic energy to "hop" over a barrier (cf Figure 1a ′ ), ∆ vē = V ′ v+eē (z) − V v+eē (A qē ), crossing each two sites. The A +eē of +e may be evaluated based on the energy equation for ē, 1 2 β +e A 2 +eē = M e c 2 , given by using β q = β +e for +e in (14) but with the ε exc equal to that of its opposite charge at level n = 1 (i.e. M e c 2 ) for ε q1 , to be…”