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.