The Micro-Macro Tunneling Mechanism: Beyond the 2025 Nobel-Winning Enlarged Micro Illusion

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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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-09
DOI
https://doi.org/10.5281/zenodo.23256033
Primary Topic
Quantum Mechanics and Applications
Type
article
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article

The Micro-Macro Tunneling Mechanism: Beyond the 2025 Nobel-Winning Enlarged Micro Illusion

DR. ZULFIQAR ALI KHAN
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
article

The Micro-Macro Tunneling Mechanism: Beyond the 2025 Nobel-Winning Enlarged Micro Illusion

DR. ZULFIQAR ALI KHAN
article en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 19%
Quantum Mechanics and Applications
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