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Tuesday, June 5, 2018

Particle Motion in Electric Fields

Abstract and Introduction
Previous work has shown that quanta in the proton and electron bit cycles [1] moved in the same direction under applied magnetic potential fields regardless of the opposite net electric charge of the two quanta groups [2] [3]. This report looked at the effects of an applied electric potential field in either of two directions along the Y axis. Proton and electron cycle quanta moved according to their electric charge as expected from Coulomb's law. Also, both M and L type quanta participate in coding future motion. These findings further demonstrate that the bit function (eqs. 2 and 39 in [4]) in binary mechanics (BM) contains simultaneous position and motion representation.

Fig. 1: Proton Displacement In Electric Fields


Methods and Results
The Binary Mechanics Lab Simulator (BMLS v1.8.2, Free download) was used to create two experimental conditions based on a 32x32x32 volume randomly seeded at 0.25 bit density and centered in a 48x48x48 simulated volume, as described previously [2]. In separate simulator runs, electrostatic potential fields were created by injecting M bits at 0.25 density at Tick 0, Y+: - and + M bits injected at positive and negative Y axis coordinates respectively; and Y-: the reverse electrostatic field. In length constant L units, displacement was expressed as a composite variable: Y component minus mean(X,Z components) translated to zero at Tick 0.

Fig. 2: Electron Displacement In Electric Fields


All energy quanta (1-state bits) in the proton and electron bit cycles were tracked over 42 BMLS Ticks (Figs. 1 and 2 respectively) using the {pr1, pr2, pr3} and {er1, er2, er3} position data in the *.csv output files, where r1, r2, r3 specify X, Y and Z axis positions. Data collection can be repeated using the electric_up.txt and electric_dn.txt files in the BMLS download as a BMLS command-line parameter. Example: hotspot.exe bat\electric_up.txt

For both the proton (Fig. 1) and electron (Fig. 2) data, particles moved according to their net electric charge consistent with Coulomb's law. For example, proton cycle quanta moved along the Y axis toward the half of the simulated volume where negative charge was added at Tick 0 and away from the half where positive charge was added.

Discussion
Electric potential fields at BMLS Tick 0 were applied along the Y axis with the positive pole in the negative coordinate half of the simulated volume (Y+) and in a separate simulation, in the reverse direction (Y-). Particle motion followed Coulomb's law, namely quanta in both the proton and electron bit cycles moved away from same-charged volume and toward opposite-charged volume.

The observed effects of applied electric field on charged particle motion were very robust, with statistical significance for each of four energy quanta trajectories (Ticks 1 to 42 in Figs. 1 and 2) estimated at obtaining 42 heads in 42 coin flips with the binomial distribution.

Scientific significance of the present results includes 1) verification that the time-development bit operations of BM produce particle motion as expected according to applied electric fields and particle charge sign and 2) demonstration that both M and L type bits participate in bit function representation of quanta position and momentum (future motion).

Pilot studies such as this report aim to identify where further research effort might be justified. The data reported may be seen as just one trial in a more extensive data collection effort aimed at determining the shape of the four curves shown in Figs. 1 and 2. This information would then allow more detailed quantitative analysis. For example, the final charged particle displacements observed appeared approximately symmetrical under electric field reversal (later Ticks in Figs. 1 and 2). Is it exactly symmetrical or is there some degree of spatial anisotropy? What is the precise time-course of charged particle motion toward the final observed displacements?

References
[1] Keene, J. J. "Proton and electron bit cycles" J. Bin. Mech. April, 2015.
[2] Keene, J. J. "Particle motion representation" J. Bin. Mech. May, 2016.
[3] Keene, J. J. "Particle motion after magnetic pulse" J. Bin. Mech. June, 2018.
[4] Keene, J. J. "Binary mechanics" J. Bin. Mech. July, 2010.
© 2018 James J Keene