Theorem: Kolmogorov E(k) = C_K*epsilon^(2/3)*k^(-5/3) unit check L^3 T^{-2}

Theorem (Kolmogorov dimensional-exponent consistency): for the spectral energy density E(k) = C_K * epsilon^(2/3) * k^(-5/3), the exponent sums in each primitive dimension evaluate to: L-exponent: 2*(2/3) + (-1)*(-5/3) = 4/3 + 5/3 = 3…