It seems impossible to avoid the signaling server. With signaling server:
Explicit scalar form of the Maxwell's equations by
Ciro Santilli 35 Updated 2025-03-28 +Created 1970-01-01
For numerical algorithms and to get a more low level understanding of the equations, we can expand all terms to the simpler and more explicit form:
Every closed subgroup of is a Lie group by
Ciro Santilli 35 Updated 2025-03-28 +Created 1970-01-01
S page 146.
Local symmetries of the Lagrangian imply conserved currents by
Ciro Santilli 35 Updated 2025-03-28 +Created 1970-01-01
TODO. I think this is the key point. Notably, symmetry implies charge conservation.
More precisely, each generator of the corresponding Lie algebra leads to one separate conserved current, such that a single symmetry can lead to multiple conserved currents.
This is basically the local symmetry version of Noether's theorem.
Then to maintain charge conservation, we have to maintain local symmetry, which in turn means we have to add a gauge field as shown at Video "Deriving the qED Lagrangian by Dietterich Labs (2018)".
Forces can then be seen as kind of a side effect of this.
Bibliography:
- photonics101.com/relativistic-electrodynamics/gauge-invariance-action-charge-conservation#show-solution has a good explanation of the Gauge transformation. TODO how does that relate to symmetry?
- physics.stackexchange.com/questions/57901/noether-theorem-gauge-symmetry-and-conservation-of-charge
A bit over the top, but convincing enough. A crypto-vampire show.
Of course those racist Nazis are a bunch of idiots, but how can you be surprised when freedom-of-speech focused tech gets used by them? www.theverge.com/2019/7/12/20691957/mastodon-decentralized-social-network-gab-migration-fediverse-app-blocking
Obviously, a few large instances dominate the user base for all practical purposes: kevq.uk/centralisation-and-mastodon/. And likely the network splits into hate-speech/non-hate-speech blacklist boundaries. And since the dominating closed networks will never lose user counts (???), the only instance that dominates will be the main hate speech one.
The flagship instance was mastodon.social and then in 2020 they closed signups for it and created a secondary mastodon.online.
The "advanced interface" feature is bad. Really bad. MacOS file browser inspired.
The key initial quantum electrodynamics experiments:
There are unlisted articles, also show them or only show them.