/sci/ - Science & Math

>>15873815
I'd also like to take this moment to shill my own thought experiment.

First consider the circuit
https://waveguide.blog/brief-history-tesla-hairpin-circuit-stout-copper-bars/
and take care to ensure to read
https://waveguide.blog/impedance-skin-effect-implications-high-frequency-circuits/
this is important

now, consider how B is zero inside a hollow cylinder with a current http://physics.bu.edu/~duffy/semester2/d14_ampere_cylinder.html

but we know B = curl(A) https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/15%3A_Maxwell%27s_Equations/15.11%3A_Maxwell%E2%80%99s_Equations_in_Potential_Form

Thus its possible to have a non zero A going in the direction of the current inside the cylinder despite B being zero.

Now. Lets hollow out those stout copper bars and run the circuit again.

we know qA/c is the potential momentum, so how do we change that potential into a kenetic? well we know c = 1/sqrt{epilson rho} . so
[math]P = q*A*\sqrt{\epsilon \rho}[/math] so what happens if we change mu and rho by introducing mercury into the pipes?

if P is a conserved quantity, and we change the permitivity and permeability, say decrease it, than A has to increase. Now back track this math onto the current, what happens?

>>15823288
i got a couple experiments i want to try
the matrix keeps making up laws to stop me though

>>15334320
>>15334283
thank you for your contribution, I am not familiar with these maths, but if it motivates an experimental construction that condemns a charged particle to come from only a single vector or scalar potential than the endevour shall be worth while.

>>15120346
Ampere conducted a fascinating experiment (picrel) in which he demonstrated a property of mercury (and magnetism) in which longitudinal forces are generated, which aren't predicted by Maxwell's equations (but are predicted by Ampere's original electrodynamics, which quantified the force between any two current elements).

I don't know how this may relate to gravity, but the effect does seem to be deeply related to Ampere's electrodynamics. I'm just starting to learn more about this, so I don't have much else to share yet.