PFUSRC-115: Time Travel vs. Topological Transposition——Topological Phase Transition and the Illusion of Linear Time

The popular conception of time travel relies on the flawed ontological premise that time forms a one-dimensional bidirectional linear axis, which this paper identifies as a fundamental cognitive illusion within the PFUSRC 11-dimensional triple coaxial bicone topological system. This work strictly demarcates two mutually exclusive concepts: conventional time travel is a logically invalid pseudo-problem, while topological transposition represents self-consistent cross-hierarchy topological phase transition permitted within the framework’s boundary rules. The paper first delivers a complete geometric uniqueness proof of the 45° triple coaxial bicone as the only steady-state cosmic manifold derived from equal radial and axial expansion-convergence velocities without internal shear or singularities. It redefines time not as a linear coordinate, but as nested helical closed growth loops traced by four-dimensional flow variables, featuring local thermodynamic irreversibility and multiple independent regional timelines without a universal global temporal axis. A paradigmatic comparison of anchor nodes 26 and 27 demonstrates that linear numerical adjacency on one-dimensional coding does not equal proximity in high-dimensional topological phase space, dismantling the linear number-line bias embedded in common temporal reasoning. The formal definition of topological transposition is given as cross-layer steady-state re-anchoring across the waist-ring 0-Coupling Interface within the 55-Closure boundary. Multiple rigid topological, thermodynamic and projection-layer boundaries lock three-dimensional material physical bodies from crossing the coupling interface, eliminating all grandfather-style causal paradoxes. Only coherent condensates of β₁ wisdom particles, possessing softened weak topological boundaries, satisfy the structural prerequisites for compliant hierarchical phase transposition. Finally, the paper proves civilizational developmental complexity merely reflects local flow-variable locking freedom rather than absolute temporal priority, so transposition to civilizations of differing technological levels cannot be ordered into objective past or future sequences. All discussions terminate strictly at the 55-Closure boundary following the finite inquiry principle laid out in PFUSRC-114.