Quantum Observation and Entanglement in Twistor-EBIKK-β Gravity: A Geometric Reconstruction of Measurement

We present a unified geometric description of quantum measurement and entanglement within the Twistor-Entropic-Born-Infeld-Kaluza-Kleinβ-gravity framework. The model predicts: (1) observer-induced metric perturbations scaling as ∆gµν ∼ κT µν obs, (2) topological entanglement entropy SAB = Area/4Gℏ + Tent ln det gAB, and (3) distance-dependent decoherence τ ∼ ℏe r/λc /Tent with λc = √ κ ln N. This eliminates paradoxes while maintaining locality.