Maxwell’s engine and… an issue

I’m underway on creating a dynamic Maxwell’s engine. I will use a 3D environment (actually intended for gaming) called DarkBasic GDK, which is just an API for DirectX graphics. I’ll hopefully have first sims in a week or so–the code is mostly written except for the result display. This has been a really good exercise because it has forced me to refine carefully the specific mathematical model that represents the twist ring. I’ve already realized that there cannot be electrostatic attraction for two good reasons–the first is that infinities will arise that mean that renormalization issues will show up in the model if it’s purely electrostatic (due to the 1/r^2 force as the electrostatic components approach each other). I had already figured out that the 1/r^2 factor is the central force diffusion of the field vector, and that the 1/r^3 factor is due to the twist causing a drag of local E field vectors around the ring circumference, causing a local loop of current that generates a far field B component that drops off as 1/r^3.

The other reason, far more important, is something I’ve overlooked with the twist ring model. If the twist ring is symmetric, how does it generate a negative electrostatic field? If there are both positive and negative field components present, how does the resulting ring model of the electron generate an electrostatic field of negative potential? This could have killed the twist ring approach (and fact does rule out earlier approaches such as the dipole or charge loop), but after thinking about it, it clarifies a nagging issue that’s been sitting at the back of my mind for a while anyway. The twist ring is a complex field component that twists. It does not go positive and negative in value, it just twists–the mathematical representation cannot be e^i(omega theta – k t) like I have thought. It should be represented by a negative charge magnitude that twists around, but the generated neighborhood field will still show a negative charge. The direction of the field does not change the charge of the field.

I’m still thinking this through, and hopefully the Maxwell’s engine will substantiate this–but this is something that has to be resolved very specifically. Currently the paper says there is a radial e^i(omega theta – k t) field, but this can’t be right, that would imply a positive as well as negative field component which would be problematic in generating a negative field. I’ll update the paper with a change, and hopefully the Maxwell’s engine will reveal all…


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