Lorentz Force in Binary Mechanics

Updated: July 30, 2011
At relatively low bit densities, the Lorentz force is consistent with binary mechanics^[1] (BM), with which this note assumes familiarity.

BM predicts that experimental data for particle events approaching the level of fineness of single BM bits will tend to show anomalies when evaluated with conventional quantum mechanics (QM), which assumes the components of the electromagnetic four-potential (Φ,A) can be defined at arbitrary spatial points in continuous space-time. On the other hand, the BM model quantizes both space and time and assigns each component to slightly different spatial locations (Figs. 1A-1C, 2B-2D).

Binary Mechanics

Editor's note: This original paper on binary mechanics might now be mostly of historical interest. For a more succinct text on Part 1: Theory of Binary Mechanics, the reader might best start with the more recent "Binary Mechanics Postulates".

by James J Keene PhD

email: jamesjkeene@gmail.com
© 1994-2020 James J Keene

[Updated: Nov. 2, 2020]
Abstract
Binary mechanics (BM) used a pair of relativistic Dirac spinor equations of opposite handedness to guide quantization of space and time into binary bit loci in a cubic lattice restricted to zero or one states. The exact time development of this BM state vector is determined by the four bit operations -- unconditional, scalar, vector and strong -- applied sequentially, one each in a quantized time unit.

JBinMech 2010

The original paper presenting binary mechanics (BM) [1] had two parts:

1) Partial-to-full quantum mechanics (QM) upgrade using space, time and energy quantization to define system state bit function replacement of the wave function and its time development bit operations required since QM infinitesimal operator math was inapplicable:
The Spot Unit
Unconditional Bit Motion
Electromagnetic Force Scalar Potential
Vecter Potential Gravitational Force
Energy Conservation
Three Dimensional Spatial Format
Strong Force
Bit State Time Development
2) More results of selected applications were then presented, to further elaborate and justify the basics of binary mechanics:
Scattering
Electrons, Positrons and d Quarks and Antiquarks 1. Spot Electric Charge
2. Spot Handedness
3. Spot Color Charge SU(3) Symmetry Matrices
Number of d Quark Spots
Photons and Gluons
Lite Scattering Interactions
Neutrinos
Weak Force
Grand Unification
Pauli Spin Matrices
Four-Momentum Operator
Electromagnetic Four-Potential
Intrinsic Limitations of the Wave Function
The fundamental justification would be, of course, that the equations provide exact results for all physical phenomena.

This site started as a simple blog to present binary mechanics and related posts. As explained previously [2], the site developed into a free, on-line physics journal, which in time matured into the leading journal world-wide for fundamental advances in physics, when it became clear that Binary Mechanics Lab (BML) had won the greatest race in physics -- the century-long grand championship to derive constants from first principles of BM.

An advantage of on-line publications is one can edit including links to future publications. Such links were added to the original paper aimed at helping the reader explore related presentations of selected topics.

The original paper was written and notarized in 1994 and first published on this site in 2010.