Classical-to-Quantum Transition Dynamics

Classical-to-Quantum Transition Dynamics is the book's account of quantum computing as a continuation of the historical scaling of computation rather than a break from it. Classical architectures reach saturation, but the underlying scaling framework carries on, now expressed through a transitional function that blends classical capacity with quantum acceleration. The shift toward quantum dominance is modeled as a smooth, mathematically consistent migration: the quantum share rises along a logistic curve, f⊡(t) = 1/(1 + exp(−(t − t⊶)/Δt⊶)), with an estimated transition point t⊶ = 2027 ± 2 years and width Δt⊶ = 3.0 ± 1.0 years. The formal statement is the Transitional Scaling Function S⊶(t) = S●(t) × (1 − f⊡(t)) + S⊡(t) × f⊡(t), where S⊶ is the transitional scaling function, S● and S⊡ the classical and quantum scaling functions, f⊡ the quantum fraction and t time. Dimensions: S⊶, S●, S⊡ [𝕋⁻¹], f⊡ [∅], t [𝕋]; the book's check is valid and verified. It connects to the Transitional Scaling Function, Quantum Fraction Evolution, Quantum Computational Enhancement, Bit Curve and Computational Evolution.