A Quantum Object--Field Response Framework for Wave--Particle Duality

This paper proposes a quantum object–field response framework for organizing wave–particle duality. The framework distinguishes a quantum object from the response structure it induces within an experimental arrangement. Within a given experimental arrangement, the quantum object is associated with an effective source representation, which induces a complex field-response amplitude, produces an effective response on the detection plane, and leads to normalized probability distributions and localized detection records. Within this layered structure, wave-like behavior is associated with propagation, superposition, coherence, and phase relations in the induced response, while particle-like behavior is associated with localized detection records. The framework is developed and tested in a computable single-quantum-object double-slit sector. Using a Gaussian source structure, rectangular double-slit apertures, a Fresnel propagation kernel, and a normalized Born-type probability mapping, the paper constructs coherent and incoherent detection distributions, interference-term decompositions, coherence-decay behavior, phase-difference scans, Fraunhofer far-field comparisons, parameter scans, detector-resolution effects, grid-convergence checks, and single-slit-limit tests. The numerical results show that the proposed framework provides a clear and computable object–response–probability chain for the double-slit setting, reproduces the standard double-slit interference structure, and remains internally consistent across the numerical checks performed. These results constitute a framework construction and consistency test within the double-slit sector and do not, by themselves, establish an experimental deviation from standard quantum mechanics.