The 2025 Nobel Prize in Physics observed quantum tunneling in macroscopic circuitsgoverned by f (ϕ) = EJ (1 − cos ϕ) and I = Ic sin(ϕ). We prove this is enlarged microtunneling.We apply Unified Invariant Optimization Theory (UI Theory). For f : Rn → R, defineinvariant geometry Tη(x, y) = x + η(y, x) and invariant energy Φ(y) = f (y) − f (x∗) ≥ 0at equilibrium ∇f (x∗) = 0. Optimality is f (Tη(x∗, y)) ≥ f (x∗) ⇐⇒ Φ(Tη(x∗, y)) ≥ 0.We show 2025 mechanism satisfies ∥η(y, x)∥ ∼ 10−9m (oxide thickness) and Φ ∼10−24J, hence micro geometry. True micro-macro tunneling requires ∥η(y, x)∥ ≥ Lmacro ∼10−6 − 10−3m with invariant Φ preserved across scales and stable curvature Φ(Tη) ≥ 0.This gives first rigorous testable condition beyond the 2025 enlarged micro illusion.
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DR. ZULFIQAR ALI KHAN (2026) studied this question.
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