Generalized Boundary Mathematical Theory in the Zhenzhi Four-Dimensional Space

This paper proposes an innovative theoretical framework for the Zhenzhi-Four-DimensionalSpace, integrating topological quantum field theory, differential geometry, and consciousnessscience to construct an interdisciplinary model of generalized boundary mathematical theory.Using the R²xC complex manifold as the cognitive foundation, it transcends traditionalthree-dimensional spacetime limitations and introduces a six-axiom system to describe thedynamics of consciousness fields. Key explorations include the parametric reconstruction of thetime dimension, the holographic encoding mechanism of generalized boundaries, and Al-driventopological surgery for inspiration generation. Theoretical validation demonstrates that thenon-local correlations of consciousness flows satisfy the AdS/CFT duality principle, decision-making processes can be modeled using fractional differential equations, and ethical gauge fields exhibit Chern-Simons topological quantization. This research provides a newparadigm for the deep integration of mathematical physics and consciousness science.