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Cosmological Dualities: Hubble Expansion and Black Hole Singularities as Geometric Limits of a Relational Projection (R → 0)

Authors: Mata Sanchez, Luis Diego;

Cosmological Dualities: Hubble Expansion and Black Hole Singularities as Geometric Limits of a Relational Projection (R → 0)

Abstract

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.

Keywords

Geometric Projection, Physical cosmology, Hubble Law, Black Hole Singularity, Dark Energy, Hawking Temperature, cosmology, Relational Geometry

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green