An Information-Theoretic and Operator-Geometric Formulation of Entanglement-Weighted Operator Gravity

Chavis Srichan

Chavis Srichan

Chavis Srichan, Pobporn Danvirutai

We report an experimental investigation of frequency shifts in multipartite entangled quantum systems using a SpinQ-compatible quantum platform. By systematically varying the number of entangled qubits $N$ while holding all geometric and electromagnetic parameters fixed, we test whether observed frequency shifts can be explained solely by quantum electrodynamics (QED), including the Lamb shift, or whether an additional entanglement-dependent contribution is required. We formulate and compare two competing models: a QED-only model predicting an $N$-independent shift, and a QED+EWOG model incorporating an entanglement-weighted correction motivated by Entanglement-Weighted Operator Gravity (EWOG). Rigorous statistical analysis---using root-mean-square error (RMSE), coefficient of determination ($R^2$), residual diagnostics, and the Akaike Information Criterion (AIC)---demonstrates decisive evidence in favor of the EWOG extension. Our results provide quantitative experimental support for the hypothesis that multipartite entanglement induces an effective geometric correction to coherent quantum dynamics beyond standard QED.

Chavis Srichan

Chavis Srichan, Pobporn Danvirutai

We report an experimental investigation of frequency shifts in multipartite entangled quantum systems using a SpinQ-compatible quantum platform. By systematically varying the number of entangled qubits $N$ while holding all geometric and electromagnetic parameters fixed, we test whether observed frequency shifts can be explained solely by quantum electrodynamics (QED), including the Lamb shift, or whether an additional entanglement-dependent contribution is required. We formulate and compare two competing models: a QED-only model predicting an $N$-independent shift, and a QED+EWOG model incorporating an entanglement-weighted correction motivated by Entanglement-Weighted Operator Gravity (EWOG). Rigorous statistical analysis---using root-mean-square error (RMSE), coefficient of determination ($R^2$), residual diagnostics, and the Akaike Information Criterion (AIC)---demonstrates decisive evidence in favor of the EWOG extension. Our results provide quantitative experimental support for the hypothesis that multipartite entanglement induces an effective geometric correction to coherent quantum dynamics beyond standard QED.

Chavis Srichan

We develop a mathematically rigorous theory of quantum measurement within Entanglement-Weighted Operator Gravity (EWOG), in which spacetime geometry is an operator-valued entity weighted by quantum entanglement. We show that quantum measurement corresponds to a localized, transient fluctuation of spacetime curvature induced by rapid redistribution of entanglement. We prove that competing measurement outcomes correspond to competing semiclassical geometries whose stability is governed by curvature variance. Minimization of curvature fluctuations leads uniquely to probability weights proportional to $|\psi|^2$, yielding the Born rule as an emergent geometric law rather than an axiom. This framework unifies quantum measurement, decoherence, and classical spacetime emergence within a single gravitational-informational principle. We further derive the spectral density of measurement-induced curvature fluctuations and establish experimental bounds on their detectability.