Three-Loop Gravitational Ladder Diagrams in Twistor-EBIKK-β Theory
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This work presents the first complete analysis of 3-loop gravitational ladder diagrams in UV-finite quantum gravity using twistor-regularizationmethods. We demonstrate the automatic finiteness of ladder-type amplitudes through κ-dependent propagators and entropic terms, extendingprevious 2-loop results. The calculation reveals a characteristic κ3ln(µ2/κ) dependence in the effective action, with implications for Planck-scalephenomenology. The mechanism guarantees finiteness for all loop orders, resolving key challenges in quantum gravity.
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2025-04-19



