Calculation record
Leading translation response of a scalar core in the same-field background.
The coefficient calculated here multiplies g*D. It is the first correction
in inverse ambient density at fixed omega_0=g*b and fixed target grade.
The background is kept in its original frame. This is a conditional
effective-action calculation, not full nonlinear particle stability.
Research context
- Localized matrix sources, complete energy and translation response
A localized matrix source retains its responding background, canonical norm change and complete spatial momentum instead of inferring inertia from the target frequency alone.
Interpret numerical checks within the assumptions and limitations documented in these notes.