Topological Universal Solution of Millennium Problems: Dimensional Constraints, PFUSR Steady-State System and UFO Physical Mechanism

Numerous intractable puzzles in classical physics and advanced mathematics have persisted for centuries, stemming fundamentally from the inherent limitations of low-dimensional observation, oversimplified multivariable modeling and flat-space approximation. This paper establishes a triple nested double-cone topological framework centered on geometric constraints, and conducts comparative research on physical properties, mathematical logic and cognitive modes between divergent low-dimensional domains and convergent high-dimensional domains. Elevating observational dimensional perspective enables natural elimination of various theoretical paradoxes derived from low-dimensional simplification, which effectively verifies the universal compatibility and theoretical completeness of the PFUS Universal Steady-State Regime. High-dimensional space featured with prime-numbered anchor distribution, multi-field coupling and continuous topological gradient endows innate advantages in mechanical operation, gravitational derivation, calculus application and curved geometry analysis. Such structural characteristics further interpret the physical essence of abnormal flight phenomena of unidentified aerial objects. This study adopts open-ended inference throughout discussions. High-dimensional civilizations possess prominent advantages in initial development conditions and technological evolution, yet superior innate foundations do not guarantee dominant comprehension of cosmic ultimate essence. Constrained topological environments form advanced cognitive aptitude while bringing fixed thinking restrictions. By contrast, low-dimensional open space facilitates theoretical deconstruction and ontological exploration. Convergence equations serve as the core mathematical expression of PFUSR system, quantitatively describing evolutionary laws covering dimensional hierarchy division, force field dissipation, coaxial steady-state operation and multi-structure coupling effect.