量子G理論：G₂ホロノミーにおけるトーションを介した重力と標準模型の統一
DOI:
https://doi.org/10.51094/jxiv.3458キーワード:
幾何学的量子統一、 11次元超重力、 カルブ・ラモンド場、 AdS/CFT、 普遍定数の再現、 M理論抄録
量子G理論（QGT）：M理論の拡張としての統一へのアプローチ
量子G理論（QGT）は、M理論の拡張として、G2G2ホロノミー多様体上のコンパクト化双対性と、カルブ・ラモンド場の量子トーション H3H3 を介して、量子重力と標準模型（SM）の統一に寄与する。本理論は、幾何力学的共鳴場を導入し、11次元超重力（11D SUGRA）の幾何学的量子結合を通じて、標準模型の粒子の静止質量を再現する。
古代哲学に触発されて導出された根源的な方程式群は、重力子の振動数（fgfg）や宇宙論的振動数（fΛfΛ）などの臨界パラメータの関数として、宇宙定数（ΛΛ）、臨界密度（ρλρλ）、宇宙の密度パラメータ（ΩmΩm、ΩdmΩdm、ΩbΩb）、およびハッブル定数（H0H0）を導出する。
この枠組みにおいて、基本定数は前例のない精度で再現され、標準模型の観測と整合する。これにより、アインシュタイン方程式、シュヴァルツシルト解、フリードマン方程式、マクスウェル方程式を、エントロピー的結合（ホーキング輻射）およびAdS/CFT対応を介してシュレーディンガー方程式と統合する、統一的な量子的再定式化が可能となる。
さらに、本理論では KR=ER=EPR 予想が提唱され、階層性問題および宇宙定数問題の解決に貢献する。
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