PFUSRC-007: The Biconical Cosmos -- The Mother Geometry of General Relativity and the Unified Explanation of Observational Anomalies

This paper serves as the core foundational and comprehensive document of the PFUSRC theoretical system. The central theses are as follows: 1. General relativity is not the fundamental theory of the universe but a local tangent space approximation of the 45° bicone at its waist, analogous to using a tangent plane to approximate a curved surface in calculus. GR dynamics hold strictly only within the neighborhood of the waist; outside this region, the approximation breaks down. 2. A series of cosmological observational anomalies — including the Hubble constant tension at 5σ, the evolution of the dark energy equation of state w(z), the CMB dipole anomaly, and the non-Gaussian signals in the three-point correlation function — are not independent puzzles but rather projections of the global curvature of the 45° bicone. 3. Relying on a single fundamental geometry (the 45° coaxial bicone) and a single fundamental constant κ=π₁≡12/11, the present model provides a self-consistent, unified explanation of all the above anomalies with zero free parameters. 4. The β₁ universal driving field is the central agent of cosmic adaptive dynamics. The term “β₁ ion” is an internal conventional designation within the system. The weak interaction is one of its manifest forms in the projected 4D spacetime. The effects of this driving field can be directly tested in laboratory experiments (see PFUSRC-17, the pendulum experiment). 5. The macroscopic cosmos and the microscopic quantum realm are homologous and isomorphic: they are manifestations of the same bicone geometry at different spatial scales and under different projection directions.