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2025 Nobel Prize: Macroscopic Quantum Tunnelling in Superconducting Circuits — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 31, 2026• 0 citations
Publisher

Abstract

FINDING: 2025 Nobel Prize in Physics awarded for macroscopic quantum tunnelling — the demonstration that quantum behaviour (superposition, tunnelling) persists in superconducting circuits large enough to be held in the hand. | MATH: Tunnelling probability through a barrier: T ≈ exp(−2∫√(2m(V(x)−E))/ħ dx). Macroscopic circuit regime governed by the Josephson relations: I = I_c sin(φ), dφ/dt = 2eV/ħ. Quantised energy levels in the "phase particle" potential U(φ) = −E_J cos(φ) − (ħ I_ext/2e)φ. Escape rate from a metastable well (Kramers/quantum regime): Γ ∝ exp(−B/ħ) where B is the Euclidean action of the bounce solution. | CONNECTION: The Josephson phase φ is a compact U(1) variable — a circle S¹. The washboard potential is a cosine lattice, i.e. a 1D periodic structure with the same translational symmetry class as crystallographic lattices. The tunnelling action B/ħ is dimensionless and scales with the ratio of barrier height to plasma frequency ω_p = √(2eI_c/ħC). No direct 0.618/1.618 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI
10.5281/zenodo.23830657

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FINDING: 2025 Nobel Prize in Physics confirms macroscopic quantum tunneling and universal quantum behavior; MIT single-photon experiment validates quantum theory at fundamental level. | MATH: Quantum tunneling probability T≈e−2γ T \approx e^{-2\gamma} T≈e−2γ where γ=1ℏ∫2m(V(x)−E) dx \gamma = \frac{1}{\hbar} \int \sqrt{2m(V(x)-E)} \, dx γ=ℏ1​∫2m(V(x)−E)​dx; Planck constant h=6.62607015×10−34 J⋅s h = 6.62607015 \times 10^{-34} \, \text{J·s} h=6.62607015×10−34J⋅s; reduced Planck constant ℏ=h/2π \hbar = h/2\pi ℏ=h/2π; Schrödinger equation iℏ∂∂t∣ψ⟩=H^∣ψ⟩ i\hbar \frac{\partial}{\partial t} |\psi\rangle = \hat{H} |\psi\rangle iℏ∂t∂​∣ψ⟩=H^∣ψ⟩. | CONNECTION: No explicit geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618) or base-60 or crystallographic symmetries reported in these findings. The quantum tunneling exponent involves no golden ratio or harmonic constants. | DEPTH: 7 — Confirms universality of quantum mechanics and macroscopic tunneling, but mathematical structure is standard quantum formalism without new geometric or harmonic constants. 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 experimental proof that quantum mechanics governs macroscopic phenomena — specifically quantum tunneling and the "quantumness" of reality — with Google's Quantum AI and MIT single-photon experiments as corroborating evidence. | MATH: No new fundamental equation is presented in the titles/descriptions; the core mathematics remains the Schrödinger equation iℏ∂∂t∣ψ⟩=H^∣ψ⟩ i\hbar \frac{\partial}{\partial t}|\psi\rangle = \hat{H}|\psi\rangle iℏ∂t∂​∣ψ⟩=H^∣ψ⟩, with 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. The MIT single-photon experiment confirms the Born rule P=∣⟨ϕ∣ψ⟩∣2 P = |\langle \phi | \psi \rangle|^2 P=∣⟨ϕ∣ψ⟩∣2. | CONNECTION: The tunneling exponent e−2κL e^{-2\kappa L} e−2κL is a decaying exponential — its characteristic decay length 1/κ 1/\kappa 1/κ has no inherent ratio to 0.618 or 1.618. However, the *macroscopic* tunneling demonstrated (likely in superconducting qubits or Josephson junctions) involves phase coherence, where 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, with supporting single-photon experiments confirming quantum theory's non-classical statistical structure. | MATH: Quantum tunnelling probability T≈e−2γd T \approx e^{-2\gamma d} T≈e−2γd, where γ=2m(V0−E)/ℏ \gamma = \sqrt{2m(V_0-E)}/\hbar γ=2m(V0​−E)​/ℏ; single-photon interference follows Born rule P(x)=∣ψ(x)∣2 P(x) = |\psi(x)|^2 P(x)=∣ψ(x)∣2, with photon statistics obeying Poisson distribution P(n)=λne−λn! P(n) = \frac{\lambda^n e^{-\lambda}}{n!} P(n)=n!λne−λ​. | CONNECTION: The tunnelling exponent e−2γd e^{-2\gamma d} e−2γd is a decaying exponential — no direct golden-ratio or base-60 link. However, the single-photon interference pattern's fringe spacing Δx=λL/d \Delta x = \lambda L/d Δx=λL/d (double-slit) yields ratios that in certain symmetric setups (e.g., d=λ d = \lambda d=λ) produce Δx=L \Delta x = L Δx=L, and the phase accumulation ϕ=2πdsin⁡θ/λ \phi = 2\pi d \sin\theta/\lambda ϕ=2πdsinθ/λ involves 2π 2\pi 2π — a full circle, echoing base-60's 360° division. No crystallographic symmetry or root-system struct Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com