Two-Loop Quantum Gravity in Twistor-EBIKK-β Theory

This work provides the first complete 2-loop calculation in UV-finite quantum gravity using twistor regularization methods, demonstrating consistent non-perturbative renormalization without auxiliary fields.We establish the non-perturbative regularization mechanism through κ-dependent terms in the graviton propagator, with direct implicationsfor black hole thermodynamics and Planck-scale phenomenology.The derived modifications to Newton’s potential (∼ e−√κr/r3) and holographic entropy corrections provide testable predictions for quantumgravity experiments.本工作首次采用扭量正则化（twistor regularization）方法，完成了紫外有限量子引力（UV-finite quantum gravity）领域的首个完整两圈计算，证明了无需辅助场即可实现一致的非微扰重整化。我们通过引力子传播子（graviton propagator）中依赖于κ的项构建了非微扰正则化机制，该机制对黑洞热力学与普朗克尺度现象学具有直接启示价值。本次研究推导得到的牛顿势修正（形式为~e^(-√κ r)/r³）以及全息熵修正（holographic entropy corrections），可为量子引力实验提供可检验的理论预测。