From the D≡T Axiom to the Universal Mathematical Structure of Turbulence

Based on the D ≡ T (Difference ≡ Transfer) ontological axiom, this paper rigorously derives the universal mathematical structure, -5/3 energy spectrum scaling law, and critical conditions for laminar-turbulent transition in turbulence entirely from first principles. The derivation avoids reliance on the Navier–Stokes equations, empirical fits, or ad-hoc assumptions, proving that all universal laws of turbulence are necessary consequences of the ontological identity between difference and transfer. This work resolves the century-old problem of turbulence in classical physics and provides a new foundational framework for fluid mechanics.