Positive and Negative Universe and Black Hole Knot: Mathematical Proof of 14FT Cosmic Cycle (V32 )

Addressing three fundamental physical problems concerning cosmic origin, positive-negative universe correlation, and the intrinsic nature of black holes, this paper constructs a closed-loop cosmic cyclic evolution model within the framework of the 14-Order Unified Field Theory (14FT). Strictly adhering to the verification criteria of no external theories, no data fitting, and pure derivation from inherent constants, all derivations rely exclusively on the native equations of published 14FT V7/V24 versions and geometric constants of the regular tetrakaidecahedron. Core conclusions: (1) The positive and negative universes follow phase conjugation and state duality and occupy independent phase spaces. The positive universe exists in a 3D manifest space with a forward time sequence, while the negative universe resides in a 4–14D hidden dimensional space with a strictly reversed time sequence, making coexistence in identical spacetime impossible. (2) A black hole functions as a topological knot interface separating manifest and hidden dimensions. Only the outer horizon achieves order-energy coupling via orthogonal electromagnetic fields, while analytical equations for cross-dimensional phase transition dynamics inside the horizon remain absent. (3) The total number of nested sub-universes derived from the third-order nesting of tetrakaidecahedral topology is . (4) Positive and negative universes achieve real-time global order-energy exchange through the coupling term . This paper proposes six quantitative astronomically testable predictions, defines the completeness boundary of the current 14FT framework, compares the logical differences between 14FT, quantum mechanics, and string theory, and clarifies future theoretical improvement directions for V33/V34.