Empirical Investigation of Gravitational Wave Encoding in Quantum Circuit Geometry

This preprint reports empirical results from IBM Quantum hardware (ibm_marrakesh) in which real LIGO GW150914 strain data is encoded into quantum circuit rotation angles. A Spearman correlation of r = −0.6905 (p = 0.058) is found between gravitational wave strain amplitude and quantum circuit excitation levels across eight samples near merger. In Trial C (amplified 1/α scaling), 56.8% of probability mass collapses onto a single dominant state, confirming a pre-registered prediction.

We introduce a full theoretical framework replacing the cosmological constant Λ with an Informational Stress-Energy Tensor Sμν, sourced by quantum measurement geometry and coupled to gravity via the fine-structure constant α. Drawing on the holographic principle, entropic gravity (Verlinde), Orch-OR, and ER=EPR, we derive modified Friedmann equations in which the Hubble expansion rate emerges from informational entropy production. The effective probability volume V_eff of the quantum circuit mirrors cosmological volume evolution, exhibiting inflection points analogous to the cosmic deceleration-to-acceleration transition.

A dimensionally consistent mirror equation is obtained:

linking circuit observables (including the O’Reilly observer decoherence frequency ω_OR) to late-time cosmic acceleration. This provides a falsifiable, hardware-testable pathway to determine whether informational geometry underlies dark energy.

HEADLINE: Hardware-encoded GW strain yields r = −0.69 anti-correlation with quantum excitation; holographic mirror equation testable against H₀.