Experimental grid for new theory

[l4m4re]

Hi Floris,

I have been working on a new aether theory for about a decade and have only recently been able to properly define the electric and magnetic fields within this framework.

The new framework has only three units of measurement: kilogram, meter and second. Within this model, electric charge has a unit of measurement in [kg/s], allowing the integration of the electromagnetic domain with the fluid dynamics domain.

The theory is based on the discovery of the quantum circulation constant, kinematic viscosity or diffusivity k, with a value equal to light speed c squared but a unit of [m^2/s].

This theory is documented in this (very preliminary) jupyter notebook:

https://github.com/l4m4re/notebooks/blob/main/aether_physics.ipynb

Key point is that the quantum circulation constant can be combined with the vector LaPlace operator to define the time derivative of any given vector field F within the aether by:

dF/dt = -k Delta F,

with Delta the LaPlace operator.

From here, we can define the acceleration field a as the time derivative of the velocity field v by:

a = d/dt v = -k Delta v,

and jerk j as the time derivative of the acceleration field a by:

j = d/dt a = -k Delta a = k^2 Delta^2 v.

This way, we obtain a second order model, so we can define second order LaPlace and Poisson equations in full 3D, which was heretofore impossible.

The fields are defined by writing out the terms in the definition of the vector Laplacian and this way we obtain uniquely defined potential fields, leaving no room for "gauge fixing".

It would be very nice to be able to validate the new theory by building a simulator. As a first step, I added the div and grad operators. I'm not sure I've got the array slicing right, I've worked these out using ChatGPT.

I also added a new, experimental aether grid class, wherein I defined the fields and an update function, but no more than that.

Problem now is how to continue. Nothing has been tested so far and I don't know how to include boundary conditions, sources, etc. However, because the E and H fields are defined, it should be possible to utilize the existing code for that, although at least for objects changes will have to be made.

In any case, I surely could use some help by people who have experience with simulators and this one in particular.

I don't know if anyone is interested in working on this, but the first step would be to ask, so here we go.

Best regards,

Arend Lammertink, MScEE.