Transition Parameter Encoding

Transition Parameter Encoding is the storage of information in the continuous parameters of each binary pulse transition, using several phase variables rather than only the discrete endpoints 0 and 1. The book lists four such variables: δt↑ [𝕋], the duration of the 0→1 transition within the Pulse Rhythm ①⥂⧖; δt↓ [𝕋], the duration of the 1→0 transition within the returning Rhythm (the second half of the Tempo ①⥂⧗); S∠ [J/(K·s)], the rate dS/dt during the transition phases; and φ⇉ [rad], the relative phase between coupled systems. The number of distinguishable levels of each sets how much a single pulse can carry, which the Information Capacity per Pulse quantifies as I⟢ = log₂(N↑ × N↓ × N∠ × N⇉) · ℨᵇ. Each pulse thereby encodes navigational information through phase relationships, enabling predictive trajectory planning through the computational substrate. The book reads this dual timing of Rhythm and Tempo as showing that temporal granularity is structurally encoded into the recursive cycle itself. It connects to Information Capacity per Pulse, Transition Phases, Binary Endpoints, Pulse Rhythm Definition and Phase Projection Navigation.