Physics has been extraordinarily successful at describing reality. And yet, at its deepest level, it remains fragmented, spacetime, matter, forces, and constants treated as independent ingredients with no common origin. The UMCR starts from a single, deliberate claim: geometry is not a tool we use to describe physics. It is the physics, and everything else is what geometry looks like from the inside. This paper is the foundational reference document of the UMCR research program. It develops the complete mathematical framework, recursive geometric closure on scale-free projective spaces, the emergence of universal geometric invariants, and the Recursive Geometric Field as the observable face of that structure. Gravity, matter, dark matter, dark energy, and cosmic acceleration are not separate phenomena requiring separate explanations. They are different projections of the same underlying geometry, distinguishable only by relational context. The framework is confronted directly with data: the effective expansion law fits the Pantheon+SH0ES supernova compilation with kβ = 1.327 ± 0.047 and χ²/dof = 1.03. This paper does not replace general relativity or quantum mechanics, it identifies the structural layer that precedes them.
Jean Santillana (2026) studied this question.