What question did this study set out to answer?

To develop a unified field theory based on SO(10) that incorporates advanced topological constructs and modifies existing models.

February 8, 2026Open Access

SO(10) Unified Field Theory Based on RP²×S² Taiji Topology and Einstein-Cartan Torsion

Key Points

To develop a unified field theory based on SO(10) that incorporates advanced topological constructs and modifies existing models.
Utilized RP²×S² Taiji topology for theoretical development.
Incorporated Einstein-Cartan torsion in the model.
Applied mathematical verification using Python.
Constructed mapping tables comparing SO(10) and Standard Model.
Simplified parameters while maintaining model accuracy.
Achieved a precision correction of φ_TGT=1.560 in the model.
Verified through the Schwarz anomaly cancellation technique.
Eliminated ghost modes with the proposed 10-dimensional space.
Predicted α with specific parameters indicating potential physical phenomena.

Abstract

v2: Added SO (10) →Standard Model four-force mapping table (Table 1) **phiTGT-GUT v5. 2** 整合了 RP2×S2 太極拓樸、愛因斯坦-卡爾坦扭率、DHOST Ia 約束塔以及 T⁶/ (ℤ₃×ℤ2) 卡拉比-丘係緊緻化, 實現了 SO (10) 四力拓樸統一。 φTGT=1. 560 精確修正了模型。 WZW 水平 k=52通過-施瓦茨反常消除驗證。 CY₆ h^ (1, 1) =3→Ngen=3 (克羅伊策-斯卡克 #17) 。 10 維 DHOST 相空間 Nₛcalar=1 消除了鬼模。 **可證明α的預測**: IPTA DR3 δτ=15±5 ns (PSR J0740+6620, 2026Q4), CKM δ=68. 2°±1. 2°, αGUT⁻1=24. 3±0. 5。用6個拓樸不犧牲了19個標準模型參數 (壓縮68%) 。經過Python驗證, 數學結果可重複: 姊妹論文: 論文一: phiTGT: RP²拓樸DHOST Ia架構-10維相空間單標量自由度分析 DOI: https: //doi. org/10. 5281/zenodo. 18392961 論文二: 太極球面幾何理論 (TSGT): DHOST Hessian裸體與約束塔數學分析 DOI: https: //doi. org/10. 5281/zenodo. 18393717

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