Born Type Probabilities

This paper proposes a discrete active-medium model in which Born-type probabilities arise as normalized intensities of coherent local transfer amplitudes. The model assumes that elementary cells of a discrete substrate carry directional complex states, and that transitions between neighboring cells are described by complex transfer amplitudes. The main result is a derivation of the probability rule from explicit assumptions of positivity, null transfer, global phase invariance, quadratic intensity scaling, and normalization over mutually exclusive channels. In this framework, the squared modulus is not introduced directly as a probability postulate, but appears as the physical intensity associated with a coherent transfer amplitude. The paper also discusses how interference arises from coherent addition of amplitudes, how the standard Born rule is recovered in a local channel basis, and how Schrödinger-type dynamics can appear as the long-wavelength limit of conservative local transfer. The proposed interpretation is presented as a limited and mathematically explicit contribution to the foundations of quantum mechanics, not as a complete solution to the measurement problem.