PFUSRC-006: Four Quantified Predictions of the Biconical Cosmos

Following PFUSRC-005, which established the hard numerical anchor for the curvature radius of the biconically closed universe at 380 million light-years, this paper derives four additional quantified predictions directly from the Biconical Convergence Formula, all of which are directly observable and testable.

Main Results:

1. Prediction 1 (Dark Matter Halo Morphology): The exclusion term forces dark matter halos into ring-like or cone-ring-like morphologies, with a radius ratio R_{outer}/R_{inner}=12/11, in contrast to the spherical halos predicted by ΛCDM.

2. Prediction 2 (Cosmic Breathing Rhythm): The universe possesses an intrinsic breathing period through which it exchanges energy with the external environment via expansion and contraction, determining its overall expansion or contraction. This process is adaptively regulated by a four-layer self-stabilization mechanism, explaining the deceleration of cosmic expansion observed by DESI.

3. Prediction 3 (Dark Energy Equation of State w(z)): From the exclusion term, we derive w(z)=-1+\frac{\Delta A(z)}{\Delta A_{max}}\cdot\frac{11}{12}. At low redshift, w\to -1; at high redshift, w\to -0.083 in agreement with the latest 2026 observations.

4. Prediction 4 (Sub-Universe Density-Avoidance): Biconical sub-universes exhibit a “density-avoidance” or “sparse-seeking” self-preservation behavior, actively migrating toward low-density regions to maintain steady-state equilibrium. Their environmental density is systematically lower than that of ordinary galaxies.

Core Distinction: The biconical sub-universe is a topological unit with four-dimensional closed space, fundamentally distinct from internal celestial bodies such as stars and planets. The former maintains its existential steady state through “breathing” and “drifting,” while the latter are locked by the boundary anchor points {2, 3, 5, 7} and execute regular orbital motions. Biconical geometry is the geometric guarantee of all regular motions within the universe.

Core Stance: The universe is a growing system with inherent self-evolutionary capacity. This is not a falsifiable physical proposition but the logical starting point and ontological commitment of the PFUSRC framework.

Theoretical Significance: All four predictions share a common origin (the Biconical Convergence Formula), are mutually consistent (sharing \kappa=12/11), and are testable (each has clear observational criteria). Together with the curvature radius anchor of PFUSRC-005, they constitute the “testable prediction cluster” of the PFUSRC framework.