PFUSRC-033 Biconical Cosmology: From the Breathing Rhythm to a Unified Dark Component Model

The ΛCDM standard cosmological model treats dark matter and dark energy as two independent problems, each requiring its own free parameters. This paper demonstrates that dark matter and dark energy are fundamentally two sides of the same topological breath—both originate from the projection of the 45° triple coaxial bicone, unified by the 12/11 gauge invariance and the 55 datum point geometry. Based on the PFUSRC axiomatic system [2,9], we establish a complete cosmological evolution model. The core conclusions are: 1. Dark matter is not an unknown particle but the residual structure topologically excluded during biconical breath (matter side). Its intrinsic fraction is uniquely determined through two-level fundamental projection combined with multi-level successive projection; the fully corrected total matter fraction agrees with Planck 2018 observations [23]. 2. Dark energy is not the cosmological constant Λ but the damping projection of biconical breath (energy side). Its fraction is uniquely determined through projection combined with a full-cycle dynamical integral, also agreeing with Planck 2018 observations [23]. 3. Common origin: Dark matter and dark energy arise from different phases of the same biconical breath (exclusion phase vs. damping phase), linked by the 55 datum points (19+17+19) and the 12/11 gauge invariance—they are not independent parameters. 4. Hubble tension arises from a small offset of the waist-ring steady state, predicted to be H_{\text{late}}/H_{\text{early}} \approx 1.074, consistent with the Planck/SH0ES ratio to within 1σ. 5. Fractal dimension of large-scale structure: \gamma = 12/11 \approx 1.09; the three-layer structure (19+17+19) determines the three-layer characteristics of the fractal dimension, in excellent agreement with COSMOS2020 high-redshift observations [28]. 6. CMB 217 GHz characteristic signal is the non-Gaussian projection of topological exclusion residues, testable with CMB-S4 [29]. The core geometric structures, multi-level projection chains, dark matter halo ring-shaped profiles, w(z) evolution curves, and Hubble constant ratio comparison curves will be presented in accompanying figures, visually illustrating the correspondence between the triple coaxial biconical topology and astronomical observations. All predictions in this paper are given with specific numerical values, confidence levels, and falsification criteria. PFUSRC cosmology is not a minor modification of ΛCDM; it replaces all free parameters of both the dark matter and dark energy problems with a single 45° triple coaxial biconical geometry. The universe has no free parameters. It has only one geometry—the 45° triple coaxial bicone—and that is sufficient.