Empirical Investigation of Gravitational Wave Encoding in Quantum Circuit Geometry

This experiment connects cosmic gravitational events with quantum computing by mapping LIGO strain data from GW150914 onto quantum gate rotation angles, executed on IBM Quantum hardware (ibm_marrakesh). Three encoding conditions are tested: a baseline (Trial A, θ = π/4), fine-structure constant scaling (Trial B, θ = π/4 · α), and inverted α scaling (Trial C, θ = π/4 / α mod 2π). An 8-point entropy sweep across θ ∈ [0, 2π] reveals a structured probability landscape with entropy minima at θ ≈ 1.795 rad and θ ≈ 4.488 rad. Critically, the sweep predicted that Trial C at θ = 0.8137 rad would produce a '101'-dominated distribution. This prediction was confirmed: Trial C returned '101' with 582/1024 shots (56.8%), the highest single-state probability observed in this experimental series. Trial B produced near-maximum entropy (uniform distribution), while Trial A showed structured odd-parity clustering. The inverted α condition collapses over half of all quantum probability mass onto a single state, constituting a non-trivial, falsifiable, and confirmed result in quantum-gravity geometry research.