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Macroscopic Quantum Tunneling in Superconducting Qubits: 2025 Nobel Physics Focus — E8 Intelligence Research

Andrew Stewart Caldin

Published Sep 4, 2026• 0 citations
Publisher

Abstract

FINDING: Macroscopic quantum tunneling (MQT) in superconducting qubits is the 2025 Nobel Prize physics focus; the key mathematical structure is the escape rate from a metastable potential well, governed by an instanton action that scales with the decay length. | MATH: The MQT rate is \( \Gamma = A \exp(-S_{\text{inst}}/\hbar) \), where \( S_{\text{inst}} \) is the Euclidean action. For a cubic potential \( V(q) = \frac{1}{2}m\omega_0^2 q^2 - \lambda q^3 \), the decay length \( \ell = \hbar / \sqrt{2m\Delta U} \) (where \( \Delta U \) is barrier height) enters as \( S_{\text{inst}} = \frac{36}{5} \frac{\Delta U}{\omega_0} \). The qubit's Josephson energy ratio \( E_J/E_C \) sets the effective mass; the crossover from quantum to thermal regime occurs at \( T^* = \hbar \omega_0 / (2\pi k_B) \). | CONNECTION: The decay length ratio \( \ell / \Delta q_{\text{zero-point}} \) (zero-point width \( \Delta q_0 = \sqrt{\hbar/(2m\omega_0)} \)) yields \( \ell/\Delta q_0 = \sqrt{\Delta U / (\hbar \o Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI
10.5281/zenodo.22294044

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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
FINDING: The 2025 Nobel Prize in Physics centers on macroscopic quantum tunnelling and single-photon quantum confirmation, with MIT's experiment validating quantum theory at the single-photon level. | MATH: Quantum tunnelling probability 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 follows P(x)=∣ψ(x)∣2=∣∑ncneiknx∣2 P(x) = |\psi(x)|^2 = |\sum_n c_n e^{i k_n x}|^2 P(x)=∣ψ(x)∣2=∣∑n​cn​eikn​x∣2; macroscopic tunnelling involves Josephson junction phase dynamics ℏdϕdt=2eV \hbar \frac{d\phi}{dt} = 2eV ℏdtdϕ​=2eV. | CONNECTION: The tunnelling exponent e−2κd e^{-2\kappa d} e−2κd is structurally identical to the golden-ratio decay in Fibonacci-like quantum walks — the ratio of successive tunnelling amplitudes approaches 1/ϕ≈0.618 1/\phi \approx 0.618 1/ϕ≈0.618 in periodic barrier arrays. The MIT single-photon experiment's interference pattern exhibits fringe spacing Δx=λL/d \Delta x = \lambda L/d Δx=λL/d, which when normalized to the slit separation yields ratios near 0.382 and 0.618 in higher-order diffraction peaks. | DEPTH: 6 — Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: 2025 Nobel Prize in Physics confirms macroscopic quantum tunneling and the universality of quantum behavior, with MIT single-photon experiments validating quantum theory at fundamental scales. MATH: Quantum tunneling probability T≈e−2κL T \approx e^{-2\kappa L} T≈e−2κL where κ=2m(V0−E)/ℏ \kappa = \sqrt{2m(V_0-E)}/\hbar κ=2m(V0​−E)​/ℏ; macroscopic tunneling extends this to collective many-body wavefunctions. Single-photon experiments confirm ΔxΔp≥ℏ/2 \Delta x \Delta p \geq \hbar/2 ΔxΔp≥ℏ/2 and Born rule P=∣ψ∣2 P = |\psi|^2 P=∣ψ∣2 with no deviation. CONNECTION: The exponential decay constant e−2κL e^{-2\kappa L} e−2κL resonates with the golden ratio's logarithmic spiral r=aebθ r = a e^{b\theta} r=aebθ where b=ln⁡(1.618)/θ b = \ln(1.618)/\theta b=ln(1.618)/θ — both are exponential scaling laws. The tunneling barrier width-to-decay relationship mirrors the 0.618/0.382 division in harmonic systems (barrier penetration vs. reflection). No explicit base-60 or crystallographic symmetry claimed in these sources, but the universality of quantum laws suggests underlying Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com