⚡ Electrodynamics
Two books: laboratory two-seat force is Darwin / Liénard–Wiechert with constructed B. Historical Weber is hold packaging, not that table. Continuum hold remains open.
Key Equation
F_Weber = kqq'/r² × (1 - ṙ²/2c² + rr̈/c²)
Core Concepts
Laboratory two-seat
This entry locks the laboratory reading of two-seat electrodynamics at order v²/c², where the scored force is the Darwin table, the same slow expansion as the Liénard–Wiechert force, with the magnetic field constructed from a Coulomb boost. Seat-to-seat measurements sit on that particle map.
Weber Force Law
This entry keeps Weber's 1846 force as packaging for the one-seat hold book: a Coulomb pin, a radial-velocity correction, and the channel r r̈/c², read from one potential. The formula supplies the static Coulomb limit, the Ampère current force, and the velocity well used in later seat work.
Confined Photon
This entry treats a massive particle as light confined on a torus knot: a free photon runs at c, and a T(p,q) trajectory returns a slower lab-frame group velocity fixed by the winding, read as rest mass. The Compton scale then sits on that same confinement frequency.
Charge Quantisation
This entry reads electric charge as a Hopf winding: only integer windings of the U(1) fibre are topologically stable, so seat charge comes in whole multiples of the elementary quantum e. The T(1,1) seat occupies the winding n = 1, and topology conserves that integer.
Compton Wavelength
This entry packages the reduced Compton length as a modelled relation on the Clifford seat, where a single quantum of action around the closed T(1,1) knot and confinement momentum mc fix a=ℏ/(mc). Later scale work quotes that length as the seat radius.
Fine Structure Constant
This entry keeps a geometric reading of the fine-structure constant on the Clifford seat. α=tanβ is the angle reading of the laboratory value, and a lab package records an explicit sum of seat, aspect, loop, and harmonic weights near 1/137.035999.
Maxwell Limit
This entry states the slow laboratory limit as a locked identity: the one-sided map equals Darwin, and Darwin equals Coulomb plus a magnetic field constructed by boosting Coulomb. Historical Weber remains the packaging language of the one-seat hold channel rr̈.
Darwin Equivalence
This entry writes the laboratory order-v²/c² interaction as the Darwin Lagrangian, already a particle-only expression, the slow form of the Liénard–Wiechert force, and the scored two-seat table under the named hypotheses. Historical Weber stays the hold packaging beside that table.
Acceleration Term
This entry isolates the acceleration channel inside Weber's historical force, the piece rr̈/c² that the hold packaging reads as inertia and as energy flow off an accelerating charge, beside the Coulomb pin and the velocity correction in the same parenthesis.
Radiation and Decay
This entry gathers the classical radiation book beside the acceleration channel, where the scored laboratory content is the Larmor fluence identity, power proportional to acceleration squared, together with the absorption factor q₂². The point Abraham–Lorentz force is kept as the runaway control.