
Standard cosmology treats the expansion of the universe (Dark Energy) and gravitational collapse (Black Holes) as opposing dynamical phenomena. We propose they are symmetric geometric manifestations of a single underlying mechanism: the projection of information relative to a fundamental unity. Building on a relational geometric framework, we define a Relational Projection Tensor that generates the observable universe vector. We derive: The Hubble Law: The recession velocity is a geometric projection rate V(R) = ω·R, where the fundamental frequency ω ≡ H₀ ≈ 2.27 × 10⁻¹⁸ rad/s emerges naturally, eliminating the need for Dark Energy. The Black Hole Limit: The singularity is reinterpreted not as infinite mass, but as the geometric limit R → 0, where relational difference vanishes and projection frequency diverges (ω → ∞). This model suggests the universe is not expanding into a void, but undergoing an internal geometric reorganization towards its origin.
Geometric Projection, Physical cosmology, Hubble Law, Black Hole Singularity, Dark Energy, Hawking Temperature, cosmology, Relational Geometry
Geometric Projection, Physical cosmology, Hubble Law, Black Hole Singularity, Dark Energy, Hawking Temperature, cosmology, Relational Geometry
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