Calculation record
Actual Gaussian spatial jets and their complete symmetric partial traces.
The derivatives are at the Gaussian center in d ordinary spatial directions.
The coefficient degree N is a derivative cutoff, not an identified particle
mode. The O(d) reduction evaluates every partial trace without constructing
millions of independent field components. No dynamics is inferred from it.
Research context
- Spatial derivative compatibility and the current hierarchy
Actual derivative compatibility restricts coherent spatial rays; complete Gaussian derivative currents distinguish available coefficient counts from a physical mode carrier.
Interpret numerical checks within the assumptions and limitations documented in these notes.