Structural Differentiation Quantum Theory (SDQ) v1.0: A Minimal Structural Interpretation of Quantum Phenomena

We present Structural Differentiation Quantum Theory (SDQ) v1.0, a minimal and conceptually unified framework in which quantum phenomena are interpreted as manifestations of structural differentiation. In this framework, a quantum is defined not as a particle or discrete entity, but as the minimal structural difference: Q ≡ ΔC_min The wavefunction is reinterpreted as a distribution of unresolved structural configurations rather than a physical wave: Ψ(x,t) = D[Q(x,t)] Measurement is described as a process of structural fixation: Q_superposition → Q_fixed In this view, observation does not collapse a wavefunction, but resolves an unresolved structural configuration. Furthermore, SDQ provides a direct mapping between structural dynamics and physical quantities: E = dC/dt (energy as structural change)M = ∫C dV (mass as accumulated structure)F ~ -∇C (force as structural gradient) This leads to the central statement of the framework: "Physical quantities emerge from structural differentiation." SDQ introduces no additional entities or assumptions, and instead reformulates quantum theory through a minimal structural ontology. The repository includes:- The full preprint (PDF)- Three conceptual figures- A Python script to reproduce all figures This framework is minimal, internally consistent, and provides a clear conceptual pathway toward a structural unification of quantum and physical phenomena.