Paper VII: Variable Particle Number and Field-Theoretic Extension Description: Completing the transition to quantum field theory, this paper introduces Local Additive Independence of Excitations (LAIE) and Bounded Occupation of Excitations (BOE). It shows that reconciling the ability to create arbitrarily many excitations globally with finite local information capacity forces the adoption of Fock space and operator-valued distributions. Fields are reconstructed as necessary local information buffers rather than fundamental entities. The paper derives canonical commutation relations and explains normal ordering as an operational calibration of the vacuum cost function.