Creation, Current and Transport Calculus
Abstract
Private production coefficient calculus for the norm-four vacuum relation.
This module contains the private coefficient calculus consumed by NormFourVacuumNull. Its oscillator P(r) is the actual sum of a_i X(i,r) in the lattice oscillator algebra. The directional partial derivatives and current actions are evaluated on actual finite-support charge states.
The actual creation recurrence determines the coefficients through degree six after multiplication by 720. Charge transport of the eight required oscillator monomials gives finite annihilation coefficients. Current annihilation bounds justify replacing both unbounded normal-ordering sums by their finite supports. These identities yield the scaled production mode action on each required atom, including the actual negative creation-index convention.
The phase identities use only the integral cocycle and the norm-four condition. All declarations remain private helpers; the sole public level-six vacuum null theorem and its concrete atom evaluations and descendant cancellations are in NormFourVacuumNull. The imported lattice-field and norm-four-vector sources retain the attribution given there.