Measured an emergent metric tensor from entanglement between coupled qubit chains on IBM Torino — code and data open
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I’ve been running a series of experiments testing whether geometric structure emerges from entanglement between two coupled qubit chains on IBM quantum hardware. The chains act as a minimal model of two coupled quantum fields. The short version of what I found: ∙ A coupling-strength sweep (λ = 0 to 2.0) produces cross-field correlations that scale smoothly with coupling, peak, and turn over. This curve reproduces at 8, 16, and 128 qubits. ∙ Removing the coupling collapses correlations by 62–92% (“spacetime tearing”), consistent across all experiments. ∙ Ising (ZZ) and Heisenberg (ZZ+XX) couplings produce the same curve shape (r = 0.89), suggesting the geometry is a property of coupled fields generally. ∙ XY (XX+YY) coupling appeared to show no geometry — until I rotated the measurement basis. In the X-basis, it shows 9.93× coupling ratio. Ising shows 27.9× in Z-basis but only 2.15× in X-basis. The geometry is always there but the measurement basis must match the coupling symmetry. ∙ The emergent correlation tensor is positive definite at all λ, satisfies the triangle inequality (100%), and shows an eigenvalue spectrum that evolves from isotropic (sphere-like) at zero coupling to highly anisotropic (needle-shaped, flatness 0.07) at strong coupling. A Ricci scalar analog shows a geometric phase transition at λ ≈ 0.31. Everything is open — paper, code, raw data, all 13 figures: https://github.com/athurlow/emergent-spacetime I ran all experiments on IBM’s free tier (Torino and Fez). No institutional affiliation — I’m an independent researcher. Looking for feedback, criticism, and related references I might have missed. Also seeking an arXiv endorsement for quant-ph or gr-qc if anyone here is able (username: athurlow). submitted by /u/Available-Hippo-2485 [link] [comments]