Cîmpeanu Scaling Law v2.1 - Hyperbolic Prime Gaps (α=2)

Cîmpeanu Scaling Law v2.1 - Hyperbolic Prime Gaps (α=2) Δ√p_n ∼ 0.5028 √[(log p_n)²/p_n] • 6.8× variance reduction vs PNT Key results (2M primes analysis):• C = 0.5028±0.369 vs theoretical 0.5 (0.56% error)• 6.8× variance reduction vs Euclidean PNT gaps (0.369 vs 2.51 std)• Train/test R²=0.812 (no overfitting detected)• 4/4 stability tests passed (geometric universality) Hyperbolic derivation:ds=dp/p (PNT density ρ(p)=1/log p) → √p transformation → α=2 scaling