BALL = SAYBOOK
Ball physics state = Saybook state. transcript + proofs. Both track position, momentum, history, lineage. Central sovereign object.
γ₁ · theorem ball_saybook_central_object
SPIRAL = CONTEXT
FC1→FC2→FC3 spirals through the transcript. Each pass = one orbit. Three passes = stable spiral. The context IS the motion.
γ₁ · theorem saybook_spiral_convergence
BOOST = LINEAGE
25yrs sovereign energy. Every domain formalized = boost pad collected. Cape Flats→Brisbane→WBC→TD→CTC→EOSE. Each diamond = 1 boost.
γ₁ · theorem boost_is_lineage
TICK = γ₁
120Hz floor = γ₁ anchor. Discrete floor. Both are: minimum observable interval. The tick IS the floor. Cannot go below.
γ₁ · theorem tick_engine_floor_matches_gamma1
3-LEAF = TRIME
3 rotations stable. msi01 ⚓ msclo ⚖️ yone γ₁. Minimum stable governance. Below 3 = unstable. Exactly 3 = meek. The sovereign number.
γ₁ · theorem three_leaf_clover_stable
FLIP = S1
Flip reset = reentrancy spiral. Two+ ball contacts without floor reset = reentrancy loop. This IS ExploitShape S1 applied to RL physics.
γ₁ · theorem flip_reset_is_reentrancy
STALE = S2
Stale boost = stale oracle. ExploitShape S2. Watcher signal ≠ floor restored. GBM · T1D · DeFi · Fleet. Same shape, different domain.
γ₁ · theorem watcher_signal_not_floor_restoration
YONE CROWN
1v1 sovereign. Win with local = proof done. Used Anthropic = false. Won 1v1 = true. Sovereignty proved without cloud dependency.
γ₁ · theorem yone_crown_sovereignty