Here, we utilize the 4-level Grassmann geometric algebra,
Under development is a new expression and visualization
of the "Maxwell" field equations for particles with Charge and Spin.
Local
refers to all dynamic effects being local to each particle at that time,
precluding instantaneous "action-at-a-distance."
Causal
means arising from explicit dynamical effects,
rather than from "probability wavefunctions",
although in practice limited knowledge may require averaging over unknown variables.
One explicit characterization of probability is:
2-Sided
means that energy exchange is most properly viewed as symmetric transfer
between 2 bound particles, rather than from 1 particle into a field,
or from 1 particle into a "fixed" background energy Hamiltonian.
This Web-Site is a "work in progress",
bringing together insights from 40 years of plama physics experimentation
and theory development, emphasizing simple "visualization".
It is hoped that some of these insights will help clarify
the subtle aspects of electro-magnetism.
Comments, suggestions, and criticisms are definitely welcome,
to cDriscoll@ucsd.edu .
with basis elements of { 3 Vectors, 1 Point }, here denoted
G
3
p
1
.
This 16-element algebra reveals subtle relations among vectors,
particularly relating to push/pull vs twist, and to move vs circulate/spin.
C.F. Driscoll,
"Geometric Electro-Magnetic Field Equations for
Particles with Charge and Spin",
Large Poster, APS/GPS2025, MarH00#223
C.F. Driscoll,
"Geometric Electro-Magnetic Field Equations for
Particles with Charge and Spin",
Separate Pages, APS/GPS2025, MarH00#223
"There is no such thing as a physical probability".
With constant "speed of causality c ",
two interacting particles will experience "equal and opposite" forces simultaneously.
This material is based upon work supported by the National Science Foundation,
the Department of Energy, the Office of Naval Research,
and the Air Force Office of Scientific Research.