Complete Twistor EBIKK-β Gravity: Unified Framework with Entropic Twistors

This paper presents the complete theoretical framework of TwistorEntropic-Born-Infeld-Kaluza-Klein gravity with β-regularization (TwistorEBIKK-β), a unified approach to quantum gravity that resolves key limitations of general relativity and quantum field theory. The model combines:• Twistor geometry for UV completion and natural regularization• Entropic gravity terms generating Ricci-Perona-Malik flows• β-regularized Born-Infeld electrodynamics• Kaluza-Klein compactification with holomorphic constraintsWe demonstrate how this framework:• Eliminates singularities in black holes and cosmology• Provides finite quantum gravitational predictions at all loops• Solves the information paradox through twistor-entropy correspondence• Predicts testable deviations in CMB, gravitational waves, and particle physicsThe theory maintains all observational successes of ΛCDM while offeringsolutions to seven fundamental problems in modern physics.