BigLeak Hurricane Cosmology (BLHC) + DEFT – Two on One Path to a TOE
Year: 2026
Type: article
Abstract: BigLeak / Tornado Cosmology – Final Consolidated Version v7 (Pi-free) Purely geometric cosmology without Dark Energy / Dark Matter. The Light-Archive is not a spherical volume but the truncated icosahedron L_32 – Goldberg polyhedron GP(1,0): F=32 (12 pentagons + 20 hexagons), V=60, E=90. Pi is NOT presupposed. Effective closure: 2π_poly = L_eq / R_poly = 60 / sqrt(58+18√5) ≈ 6.053 exactly algebraic degree 4 from √5. For GP(f,0): 2π_poly(f)=15f·a_f / R_f → 2π as f→∞, with 2π_poly(f)=2π·(1-c/f²), c=1-2π_poly(1)/2π≈0.0366 derived, not calibrated. Irrationality protection from √5 forbids kω0=lΓ0 resonance. Natural initial size: R0=R_poly=a/4·sqrt(58+18√5)≈2.478 l_c, not l_c. Binding R_*=Γ_max²/ω_eff² finite, binding for all λ>λ_* proven, 88 orders above Planck, no tuning. Motor α,β→0: α̇=-γ α, β̇=-γ β, γ=γ_g+γ_BH+γ_diff, γ_BH=M_BH/R³/Γ0=ε ρ_T/(3Γ0)=ρ_BH,∞/Γ0 finite → genuine attractor. M_BH=(ε ρ_T/3)(R³-R0³). Physical branch αβ>0 monotonically decreasing, no transient. N0=13: halving ~12 Gyr, 10% ~35 Gyr. Parameter-free: Kissing number K(3)=12, φ²=2.618 → ε(N0)=12/(N0 φ²)=4.584/N0 (obs 4.73/N0 ±3%), η(N0)=(1+41/N0)/(3φ²)=0.1273(1+41/N0). N0,small=13=F_pent+1 (25°), N0,large=60-5=55=V-5 (6.28°), chain 13→21→34→55→89→144... Only d=3 gives K(d)+1 Fibonacci → proof why space is 3D. Projection: H(n)=H0(1+sinΘ cosψ), sinΘ=1/sqrt(1+(N0/2π_poly)²). Sphere vs Circle: rms=sinΘ/√3 (volume) vs sinΘ/√2 (thin shell), A_circle/A_sphere=√(3/2)=1.225 mandatory. Results: CF4 18735: 0.2399 vs 0.2436 (0.4% diff, N0=13), Pantheon low-z: 0.0775 vs 0.0774 (0.01% diff, N0=55). A(z): Volume effect V_c(z0)/V_c(0.5)=φ³=4.236 → z0=0.905 exact, D_c(z0)/D_c(0.5)=φ, Δz_int=0.0102, Δz_eff=0.25, w=1/(1+exp(-(z-0.905)/0.25)), A(z)=(1-w)A_55_circle + w A_89_sphere: z=0.5→7.3%, 1.0→5.8%, 1.5→4.4%, 2.0→4.0%. Tornado-DEFT Unified v2.0: M=1/R_poly, V(χ)=V0(χ²-χ-1)²·(2π_poly/2π)², 32 minima on L_32, disformal tilde g=g+∂χ∂χ/M⁴. Falsifiable: Euclid must find 5-15% half-amplitude with d(n0,Shapley)<60°, A/cosψ≈0.11. If A>15% or d>60° → falsified. If A≈7% constant to z=2 → 55 confirmed, 89 falsified. If A 7%→4% at z≈0.905 → 89 confirmed → predict ~3% at z≈1.8-2.0 (144). Structurally closed at v3, quantitatively closed at v7. Awaits Euclid. Author: Harald Engelhardt Chain: Pure Relation → Break → Helix → L_32 → Convergence → Difference → Projection → Incorporation → Cohesion → G_eff → Motor → Return → Fibonacci → Kissing Number → 3D Constraint
Author: Engelhardt, Harald Peter Joseph
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203908490