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

DR. ZULFIQAR ALI KHAN

Published Oct 9, 2026• 0 citations
Publisher

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.

DOI
10.5281/zenodo.23256033

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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.
AbstractThe 2025 Nobel Prize for quantum tunneling in an electrical circuit andthe 1973 Prize for tunneling phenomena in solids share the same mechanism:tunneling through a thin oxide barrier described by Josephson equations.The 1973 mechanism was correctly monitored as micro. In 2025, thebarrier remains ∼ 10−9 m, the chip remains micro-fabricated, and the particleremains a Cooper pair. Only the external circuit was enlarged.The phenomenon is correct and the mechanism is correct, but the label”Macroscopic Quantum Tunneling” is incorrect. A micro-based tunnelingevent does not become macroscopic by enlarging its wires. The correct termis enlarged micro tunneling.
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We show that the 2025 Nobel Prize experiment, originally conceived within the framework of macroscopic quantum tunneling in superconducting circuits, constitutes an independent experimental realization of the marginal tunneling mode predicted by the quartic Ψ–Γ variational functional.No parameter fitting, external constants, or phenomenological adjustments are used: the observed macroscopic tunneling behaviour corresponds exactly to the unique marginal eigenmode selected by the decision operator Ω under the Z3-irreducible Hessian structure.The Nobel system realizes one branch of the triplet degeneracy, demonstrating that the Ψ–Γ framework predicts, from first principles, the emergence of a single coherent macroscopic tunneling mode with no free parameters.This establishes the 2025 experiment as the first large-scale, independently designed physical verification of the universal spectral mechanism underlying the Ψ–Γ functional.
FINDING: The 2025 Nobel Prize in Physics centers on macroscopic quantum tunnelling, with supporting single-photon experiments confirming quantum theory's non-classical predictions. | MATH: Quantum tunnelling transmission coefficient T≈e−2κd T \approx e^{-2\kappa d} T≈e−2κd, where κ=2m(V0−E)/ℏ \kappa = \sqrt{2m(V_0-E)}/\hbar κ=2m(V0​−E)​/ℏ; single-photon interference visibility V=(Imax−Imin)/(Imax+Imin)→1 V = (I_{\text{max}}-I_{\text{min}})/(I_{\text{max}}+I_{\text{min}}) \to 1 V=(Imax​−Imin​)/(Imax​+Imin​)→1 in the MIT experiment; no new fundamental constants introduced — the framework remains Planck's constant h=6.62607015×10−34 J⋅s h = 6.62607015 \times 10^{-34} \, \text{J·s} h=6.62607015×10−34J⋅s and the Schrödinger equation iℏ∂tψ=H^ψ i\hbar \partial_t \psi = \hat{H}\psi iℏ∂t​ψ=H^ψ. | CONNECTION: The tunnelling exponent e−2κd e^{-2\kappa d} e−2κd is a decaying exponential — its characteristic decay length 1/κ 1/\kappa 1/κ relates to the golden ratio via κd=ln⁡(ϕ)≈0.4812 \kappa d = \ln(\phi) \approx 0.4812 κd=ln(ϕ)≈0.4812 when the barrier width equals the golden-ratio-scaled de Broglie wavelength; however, no explicit geometric ratio (0.382, 0.618, 0.786, Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
The quantum tunneling phenomenon has long been explained by quantum mechanics using abstract concepts such as probability waves and wave function collapse. However, the essence of its microscopic physical mechanism—how and why a particle can traverse a classically forbidden region—has never been clearly elucidated, leading to a schism between the physical laws governing the micro- and macro-worlds. Based on the Great Tao Model and the Unified Theory of Atomic and Molecular Structure, this paper, for the first time, constructs a complete, self-consistent, and quantifiable framework for a classical physical explanation. The core of this framework clarifies the microscopic physical mechanisms of "local weakening of the Existence Field" and "formation of a directional field channel", reducing the tunneling process to a deterministic sequence of events: "information coupling → field weakening → channel formation → classical penetration". The study rigorously derives the quantitative relationships between the field strength weakening coefficient, the field channel width, and the penetration probability. Its mathematical form is compatible with the empirical formula of quantum mechanics, but its physical connotation is fundamentally different. Case studies demonstrate that this theory can uniformly explain the atomic-scale resolution of scanning tunneling microscopy (STM), the deterministic energy release in α-decay, and the physical necessity for the impossibility of macroscopic object tunneling. Starting from the first principles of classical physics, this paper provides a new paradigm for understanding tunneling that aligns with physical intuition, has a clear mechanism, and is subject to experimental verification, achieving a logical unification of micro- and macro-physical laws.
The 2025 Nobel Prize in Physics honours the discovery of macroscopic quantum tunnellingand energy quantisation in an electric circuit. This note asks what the word “macroscopic” refersto. We distinguish three readings: the physical size of the device, the thickness of the barrier,and the nature of the tunnelling variable. In current-biased Josephson-junction experiments thebarrier that is crossed is not the nanometre-thick oxide layer, whose pair tunnelling underliesthe Josephson effect recognised in 1973. It is a barrier in the effective potential of a collectivephase variable that describes billions of Cooper pairs. We argue that “macroscopic” is best readas describing this variable, and that this reading is consistent with the temperature-independentescape rate observed at low temperature. We also note that “macroscopic” has no single sharpdefinition. The note is a clarification and reports no new results.