Another clarification, this is more of a mathematical exercise, I am
trying to ignore valid pysical and practical concerns ; I am more
curious about the mathematical landscape of the interactions. In other
words I am playing with math and am not hung up on the physical
realities. Too bad there isnt a set of ODE's that describes these
interactions at this level.

Regards !

Jack a =E9crit :

Thanks Andre, great post.. Can you please point me to the classical
ODE's for electrodynamics or the gamma factor ones, and if not
possible, who are the equations names after so I can search for them on
the web ?

Thank you,

Jack

Hi Jack. Happy to see that my few comments were meaningful to you.

The best starting set to explore from is the same set that
Maxwell used to build his theory, namely the Gauss equations, the
Faraday and Ampere equations, also the Biot-Savart equation and
Lorentz force equation.

The set as integrated by Maxwell is quite nice, and all of this is
available in good textbooks. I personally prefer Halliday and Resnick
"Physics". But as they stand, they do not hint at how to integrate
them to all directly apply to local particles such as electron, proton
and neutron because they do not treat that charge as being quantized
in reality. The first lead on how to actually associate charge
quantization came from de Broglie, but nothing about it is available
in English.

The only link I could refer you to that would give you hints at what
can be done by quantizing charge in these equations that could help
you build yourself eventually the set you want and also linking
the gamma with fields is a little paper I did myself last year to
build on a quite nice approach to defining the relativistic magnetic
field of moving electrons by physicist Paul Marmet (the URL to the
Marmet paper is mentionned in the References section).

http://pages.globetrotter.net/srp/discrete_electromagnetic_fields.pdf

If this speaks to you, then the book that this is extracted from is
available on amazon.
=20
Andr=E9 Michaud

Jack a =E9crit :

Thanks Andre, great post.. Can you please point me to the classical
ODE's for electrodynamics or the gamma factor ones, and if not
possible, who are the equations names after so I can search for them on
the web ?

Thank you,

Jack

Hi Jack. Happy to see that my few comments were meaningful to you.

The best starting set to explore from is the same set that
Maxwell used to build his theory, namely the Gauss equations, the
Faraday and Ampere equations, also the Biot-Savart equation and
Lorentz force equation.

The set as integrated by Maxwell is quite nice, and all of this is
available in good textbooks. I personally prefer Halliday and Resnick
"Physics". But as they stand, they do not hint at how to integrate
them to all directly apply to local particles such as electron, proton
and neutron because they do not treat that charge as being quantized
in reality. The first lead on how to actually associate charge
quantization came from de Broglie, but nothing about it is available
in English.

The only link I could refer you to that would give you hints at what
can be done by quantizing charge in these equations that could help
you build yourself eventually the set you want and also linking
the gamma with fields is a little paper I did myself last year to
build on a quite nice approach to defining the relativistic magnetic
field of moving electrons by physicist Paul Marmet (the URL to the
Marmet paper is mentionned in the References section).

http://pages.globetrotter.net/srp/discrete_electromagnetic_fields.pdf

If this speaks to you, then the book that this is extracted from is
available on amazon.
=20
Andr=E9 Michaud