V25·Act V · Matter
Finite electromagnetic response
Field lines. A dipole on the carrier, the Green response streaming source to sink, and a closed surface whose flux count comes out exactly integer.
The relation on screen
Discrete exterior calculus on the seam complex gives a Green function with the Coulomb falloff.
Symbols
- field two-form on cells
- source, a defect label
- potential at chart distance r
loading Green response
what to look for · The 1/r tail follows from the three-dimensionality established in Act II. It was never put in by hand.
Consensus to physics
- 01the carrier Laplacian has a Green function on the port basis
- 02port loads source a response through it
- 03the response satisfies exact discrete Gauss and temporal Maxwell identities
- 04seam fluxes behave like field strengths
In standard physics
Maxwell in discrete exterior calculus
Gauss's law as the boundary identity and Faraday as the temporal one, drawn on a graph instead of in continuous space. The structure is exact; the identification with physical electromagnetism is not made.
boundary · Port loads are not electric charge, seam fluxes are not E and B, and the step index is not physical time.