the dynamics.

equations (1)–(6) wired as a directed graph; the foundational architecture from which the rest of the framework descends

the body as forced oscillator under the medium's delivery phase; Kuramoto coupling and the lock transition $K_{bm}>|{\omega }_b-{\omega }_m|$

the deficit in pause-time at every scale simultaneously; $D(t,\tau )={\Lambda }_{\circ }(\tau )-\Lambda (t,\tau )$ as a spectrum, not a quantity at one scale

the four registers (Subject · Citizen · Person · Consumer) routed through a single delivery surface; mutual information fills the off-diagonal and the dividual condition follows

the body as the differential of the marked point process; Hawkes-style raster of stimuli and per-register engagement events, with cross-excitation visible at the tick level

$\Sigma (T)={\sum }_i\int {\rho }_{i}d{N}_t^i$ — the platform's accumulated yield decomposed across the four registers; the asymmetric distribution is the policy's signature

$D_{\mathrm{KL}}({\nu }_u\Vert {\pi }_{\hat{R}})$ trajectory under maintenance labor; the user's self-evaluative distribution converges to the platform's reward distribution unless $L_m\ge L_m^{\ast }$

the proof of Theorem 1 as a directed graph from (A1)–(A6) to RECLAMATION ⌀; Mode A cuts the chain at ${\theta }^{\ast }$, Modes B and C operate on parallel structures

Mode A (architectural · $\beta$) / Mode B (artisanal · $L_m$) / Mode C (disruption-as-form · ${\sigma }_{\eta }^{+}$) side by side; sweep each knob to see which structurally distinct claim it modifies

all six equations, all six instruments, and the three modes wired into a single running apparatus. Lemma 1 and Theorem 1 produced in real time; intervention controls at the points the framework specifies.

every variable, theorem, and intervention point in one navigable map of the apparatus. The causal graph made interrogable.