Architectural Transition Analysis

Architectural Transition Analysis is the book's study of the critical inflection points in the history of computation, where architectural thresholds are crossed and computational capacity jumps onto a steeper trajectory. It holds that computational evolution does not advance smoothly but accelerates through distinct Inflection Zones, each a phase transition in substrate development driven by a threshold in memory, bandwidth or coherence. The analysis models each transition as a recursive enhancement function multiplying the capacity that came before. Its worked cases are GUI emergence (1983 to 1989), triggered by a memory threshold of about 1 MB, with C▭(t) = C_base × (1 + α₁ × exp((t − 1985)/τ▭)), amplification α₁ = 10.2 ± 1.5 and time constant τ▭ = 2.0 years; network recursion (1996 to 2002), built on the GUI-enhanced capacity in the same form; and quantum-AI convergence. Together they are the book's framework of Computational Evolution, in which qualitative leaps are embedded in the quantitative growth of computation. It connects to Inflection Zones, Computational Evolution, GUI Computational Enhancement, Network Computational Enhancement, Recursive Amplification Factor and Bit Curve.