Structural Differentiation Quantum (SDQ): A Structural Interpretation of Quantum Phenomena

This work introduces Structural Differentiation Quantum (SDQ) as an extension of Structural Differentiation Cosmology (SDC) and Structural Differentiation Gravity (SDG). In this framework, quantum phenomena are interpreted as manifestations of microscopic fluctuations in the structural density field C(x,t). The wavefunction is not treated as a purely probabilistic entity, but as a representation of local structural states. We show that quantum behavior naturally emerges from structural fluctuations δC(x,t), while gravitational behavior arises from ∇C, and cosmological evolution is governed by C(t). This leads to a minimal unified structural framework in which: - Cosmology corresponds to large-scale evolution of C(t)- Gravity corresponds to gradients ∇C- Quantum phenomena correspond to fluctuations δC Figure 6 illustrates this unification as a scale-dependent structural hierarchy. This work represents version v1.3 of the SDQ framework and serves as a foundational preprint connecting structure-based cosmology, gravity, and quantum interpretation. Keywords: structural cosmology, quantum structure, emergent quantum mechanics, structural field theory, unified framework